- Discrete Mathematics For Computing Rod Hagerty Pdf Merge Download
- Discrete Mathematics For Computing Rod Hagerty Pdf Merger
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Discrete Mathematics For Computing Rod Hagerty Pdf Merge Download
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Feb 24, 2019 Discrete Mathematics for Computing presents the essential mathematics needed for the study of computing and information systems. The subject is covered in a gentle and informal style, but without compromising the need for correct methodology. It is perfect for students with a limited background in mathematics. This new edition includes.
ABHYANKAR,SHREERAMand KULKARNI,DEVADATTA M.: On Hilbertian Ideals, 53 ADKINS, WILLIAM A.: Simultaneous Diagonalization of Matrices Parametrized by a Projective Algebraic Curve, 101 ACLER, JIM, HELTON, J. WILLIAM, McCuLLOUCH, SCOTT, and RODM~N, LemA: Positive Semidefinite Matrices with a Given Sparsity Pattern, 157 AHARONI, RON and CENSOR, YAm: Block-Iterative Projection Methods for Parallel Computation of Solutions to Convex Feasibility Problems, 165 ALBUQUERQUE, H. and LEITE, F. SILVA: On the Generators of Semisimple Lie Algebras, 51 ALON, NOCA, COSARES, STEVEN, HOCHBAUM, DORIT S., and SHAMm, RON: An Algorithm for the Detection and Construction of Monge Sequences, 669 ANDERSON, JR., WILLIANI N. and TRAPP, GEORCE E.: The Extreme Points of a Set of Positive Semidefinite Operators, 20 ANDERSSON, SamEN A. and PERLMAN,MICHAEL D.: Group-Invariant Analogues of Hadamard's Inequality, 91 ANDo, T.: Majorization, Doubly Stochastic Matrices, and Comparison of Eigenvalues, 163 ANTOULAS, A. C.: Rational fnterpolation and the Euclidean Algorithm, 157 AKBENZ, PETER, GANDER,WAITER, and GOLUB, GENE H.: Restricted Rank Modification of the Symmetric Eigenvalue Problem: Theoretical Considerations, 75 ARSEUe, GR., CEAUtjESCtr,ZOIA, and CONSTANTINESCU, T.: Schur Analysis of Some Completion Problems, 1 ATALLX, RORERT E.: Saturated Sets of Probability Measures and Stochastic Matrices, 207 BAI, ZHAOION: Note on the Quadratic Convergence of Kogbetliantz's Algorithm for Computing the Singular Value Decomposition, 203 BAKSALA.Ry, JERzY K. and Mmmmwmz, AUCUSTYN: A Matrix Inequality and Admissibility of Linear Estimators with Respect to the Mean Square Error Matrix Criterion, 9
BAKSALAI~Y,JF-~ZyK., PUI~LSHEIM,FRIEDRICH, and STYAN, CEORCE P. H.: Some Properties of Matrix Partial Ordering, s, 57 BAPAT, R. B. AND RACrtAVAN, T. E. S.: An Extension of a Theorem of Darroch and Ratcliff in Loglinear Models and Its Application to Scaling Multidimensional Matrices, 705 B~R, G. P., CONNER, JR., L. T., and STANFOaD, D. P.: Complete Controllability and Contractibility in Multimodal Systems, 55 BARNES, EARL R.: Circular Discs Containing Eigenvalues of Normal Matrices, 501 BARRETT, WAYNE W.: See Robinson, Donald W. BAmtETT, WAYNE W., FORCAOE, RODNEY W., and POLLINCTON, ANDm~w D.: On the Spectral Radius of a (0,1) Matrix Related to Mertens' Function, 207 BA~T, H.: Upper Triangularization of Matrices by Permutations and Lower Triangular Similarity Transformations, 255 BART, H. and HoocL,~,n~, H.: Complementary Triangular Forms of Pairs of Matrices, Realizations with Prescribed Main Matrices, and Complete Factorization of Rational Matrix Functions, 193 BA2aT, H. and JANSEN, P. S. M. KoP: Upper Triangularization of Matrices by Lower Triangular Similarities, 229 BEASLEy, ImRoY B.: Linear Operators on Matrices: The Invariance of Rank-k Matrices, 217 BEASLEy, LERoY and Um~ERWOOD,E. E.: The 1987 Utah State University Department of Mathematics Conference, 29, 30, and 31 January 1987, Logan, utah, 117 BEASLEY, LERoY B. and PULLMAN,NORMANJ.: Semiring Rank versus Column Rank, 33 BEATTm, CHRISTOPHER and FOX, DAVID W: Schur Complements and the WeinsteinAronszajn Theory for Modified Matrix Eigenvalue Problems, 37 BEBIANO, NAT.~.LIAand JoXoDA PROVIDENCIA: Some Remarks on a Conjecture of de Oliveira, 241 BECK, ISTV~: Partial Orders and the Modular Group, 139 BEELEN, TH. and VAN DOOREN, P.: An Improved Algorithm for the Computation of
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280
A U T H O R I N D E X F O R V O L U M E S 101-120
Kronecker's Canonical Form of a Singular Pencil, 9 BEISSINCER, JANET S.: See Brualdi, Richard A. BEraCER, PAUL A.: The Positive Semidefinitehess of Partitioned Matrices, 261 BEN-ARTzI, A. and Gomarmc, I.: Inertia Theorems for Nonstationary Discrete Systems and Dichotomy, 95 BEN-ISRAEL, ADI: Canonical Bases in Linear Programming, 95 BEBMAN, A ~ A M : Complete Positivity, 57 BEmaAN, ABRAHAM:See Shasha, Dafna BF_~MAN, ABRAHA~t, HERsrmowrrz, DANIEL, and Immma, LEOmD: Preface, 1 BERMAN, ABRAHAM, HERSEmOWITZ, DANIEL, and LEnEn, I~ONID: REPORT: Haifa 1988 Conference on Matrix Theory, 237 BE~MAN, A. and JAm, S. K.: Nonnegative Generalized Inverses of Powers of Nonnegative Matrices, 225 BESLIN, SCOTT and LICH, STEVE: Greatest Common Divisor Matrices, 69 BEVILACQUA, ROBERTO, CODENOqi'rI, BRUNO, and ROMANI, FnANCESCO: Parallel Solution of Block Tridiagonal Linear Systems, 39 BHASKAnA RAO, K. P. S.: See Heuvers, Konrad J. BHATIA, RAJENDRAand KITTANEH, FUAD: On Some Perturbation Inequalities for Operators, 271 BHAYA,AMIT: See Kaszkurewicz, Eugenius BHIMASANKARAM,P.: On Generalized Inverses of a Block in a Partitioned Matrix, 131 BI~rOlNC, PAUL and B~OWNE, PATmCXJ.: Two Parameter Eigenvalue Problems for Matrices, 139 Blx~x, RoB~ar E. AND RAIAN,ARVI~rD:A Short Proof of the Truemper-Tseng Theorem on Max-Flow Min-Cut Matroids, 277 BLOI~IUIS, AA.RT, WILBRINK, HENNY, and TEUME~, GUNTEa: Unit Vectors with Nonnegative Inner Products and Kruskars Conjecture, 7 BOUSFmLD, R. A.: A Theorem for Symmetric n-Linear Forms, 183 BR&UALDI, RICHARD A.: Review of Proceedings of the Second International Tampere Conference in Statistics, 325 BlmziNsxl, CLAUDe: Other Manifestations of the Schur Complement, 231
BBOUWI~, A. E. and NEUMAIma, A.: The Graphs with Spectral Radius Between 2 and
BROWKtN, JmazY: A Theorem of Sturm and K 1 for Rings of Real Continuous Functions, 1 Bnowr~, M. W. and NEtroEcmEm, H.: The Covariance Matrix of a General Symmetric Second Degree Matrix Polynomial Under Normality Assumptions, 13 BBowr~, PATRICKJ.: See Binding, Paul BRUALDI, RICHXm) A.: Some Applications of Doubly Stochastic Matrices, 77 BRUALDI, RICHAr,D A. and MICHAEL, T. S.: The Class of Matrices of Zeros, Ones, and Twos with Prescribed Row and Column Sums, 181 BRUALDI, RICI.I~mD A., PLESS, VEe,A S., and BmSSINCEla, JANET S.: On the MacWiUiams Identities for Linear Codes, 237 BBu, RAFAEL, ELSNER, LUDWIG, and NEUMANN, MICHAEL: Models of Parallel Chaotic Iteration Methods, 175 BOLTHE~L, A.: See Van Barel, M. BtrrcHiEn, J. C.: On a Class of Matrices with Real Eigenvalues, 1 BUTLER, C. A. and MORLEY, T. D.: Six Generalized Schttr Complements, 259 CAMEI~ON, PETER J.: A Problem on Integer Matrices, 199 CA.MINA,ALAN and SmMONS,JOHANNES:Intertwining Automorphisms in Finite Incidence Structures, 25 CAMPUS, TXNIA M. M.: See Micali, Artibano CARLSON, DAVID: Nonsingularity Criteria for Matrices Involving Combinatorial Considerations, 41 CARLSON, DAVID and HERSHKOWITZ, DANIEL: Nonsing~darity Criteria for General CombinatoriaUy Symmetric Matrices, 399 CEAU§ESCU, ZolA: See Arsene, Gr. CENSOR, YAm: See Aharoni, Run CHAO, CrloNc-YuN: A Remark on Symmetric Circulant Matrices, 133 CmsN, J. C. AND LAI, M. X.: On a Conjecture by Fiedler, Markham, and Neumann, 99 CHEN, YONc-CI-IUANand Sm~sTm, ADITYA:On Joint Realization of (0,1) Matrices, 75 CHILLAG, DAVID: Generalized Circulants and Class Functions of Finite Groups. II, 199
A U T H O R I N D E X F O R V O L U M E S 101-120
CHU, KmC-WAH ERXC: Symmetric Solutions of Linear Matrix Equations by Matrix Decompositions, 35 CHtr, MOODY T.: A Note on the Homotopy Method for Linear Algebraic Eigenvalue Problems, 225 CHU, W. C.: Some Algebraic Identities Concerning Determinants and Permanents, 35 CHV~,TAL, V., Coox, W., and HA~TMANN, M.: On Cutting-Plane Proofs in Combinatorial Optimization, 455 CODENOTTI, BRUNO: See Bevilacqua, Roberto COHEN, JOEL E.: Spectral Inequalities for Matrix Exponentials, 25 COHEN, JOEL E., MA~CHI, EzIO, and Ovmoo, JORCE A.: Perturbation Theory of Completely Mixed Bimatrix Games, 169 CONNER, JR., L. T.: See Barker, G. P. CONSTANTmESCU, T.: See Arsene, Gr. COOK, W.: See Chv~ttal, V. COSA~ZS, STEVEN: See Alon, Noga COSTA, RORERTO: A Note on Bernstein Algebras, 195 COSTA S SILVA, MANIA C.: See Micali, Artibano COTTLE, R. W., PANG, J.-S., and VENZATESWARAN, V.: Sufficient Matrices and the Linear Complementarity Problem, 231 COVLLAm), COLLETTE R. and PULLEYBLANK, WILLIAM R.: On Cycle Cones and Polyhedra, 613 CRITCHLEY, FR~rK : On Certain Linear Mappings B e t w e e n Inner-Product and Squared-Distance Matrices, 91 CUMMINCS, L. J.: See Heuvers, Konrad J. CVETKOWd, DRAaOg: Constructing Trees with Given Eigenvalues and Angles, 1 DANCtS, JF~orvm: On the Inertias of Symmetric Matrices and Bounded Self-Adjoint Operators, 67 DANTZIG, GEORGEB.: Making Progress During a Stall in the Simplex Algorithm, 251 DATTA, B. N.: See Fuhrmann, P. A. DATrA, KARABX:The Matrix Equation X A BX = R and Its Applications, 91 DAX, ACHtYA: Linear Programming via Least Squares, 313 DEDmO, JsxN-Pmmm: Matrix Homographic It-
281
erations and Bounds for the Inverses of Certain Band Matrices, 29 DELSAnTE, P. and SEIDEL, J. J.: Fisher Type Inequalities for Euclidean t-Designs, 213 DE S.~, E. MASQUES: A Convexity l_emma on the Interlacing Inequalities for Invariant Factors, 107 DESCHAMPS, PHILIPPZ J.: A Note on Isomorphic Characterizations of the Dispersion Matrix in Error-Compenent Models, 147 DI NOLA, ANTONIOand SESSA,SALVATOaE:On the Schein Rank of Matrices over Linear Lattices, 155 DOKOVld, DRAGOMIR Z. and RICHAEDS, MARK P.: On Singular Values and Similarity Classes of Matrices, 1 DONC, CHtrN-FEI: See Dong, Wei-Quan DONC, WEI-QuAN, SHAO, JIA-YU, and DONC, CHuN-FEI: On the Exponents of Primitive Digraphs with the Shortest Elementary Circuit Length s, 1 DOOR, MICHA.EL: The Limit Points of Eigenvalues of Graphs, 659 DUAnTE, ANT6NXO ~ : Construction of Acyclic Matrices from Spectral Data, 173 DZENC, D. C. and LIN, W. W.: HMDR and FMDR Algorithms for the Generalized Eigenvalue Problem, 169
EAGAM~A.RAM, N.: Generalized Inverses with Nonnegative Principal Minors, 293 EAVES, B. CURTIS and ROTHRLUM, URIEL G.: A Continuous-Time Average-Cost Flexible Manufacturing and Operator Scheduling Model Solved by Deconvexification Over Time, 417 EUKHOtrr, VICTOR and POLMAN, BEN: Decay Rates of Inverses of Banded M-Matrices that are Near to Toeplitz Matrices, 247 ELSZR, LVDWIC and JOHNSON, CHARLES R.: Nonnegative Matrices, Zero Patterns, and Spectral Inequalities,225 ELSNER, L.: A Note on the Variation of Permanents, 37 ELSNER, L.: See Watkins, D. S. ELSNF~, LUDWIC: See Bru, Rafael EvANs, D. J. AND LX, C.: Analysis of a Symmetric Extrapolated Iterative Method for Solving Linear Systems, 149
282
A U T H O R I N D E X F O R V O L U M E S 101-120
FAN, KY: Inequalities for Proper Contractions and Strictly Dissipative Operators, 237 FANa, Lx: On the Spectra of P- and P0Matrices, 1 FEI~XtRA, SILVIA M. M.: See Micali, Artibano FmDLER, M.: Characterizations of B6zout and Hankel-B6zout Matrices, 77 FIEDLER, MIROSLAV: Characterizations of MMA-Matrices, 233 FIEDLEn, M. and MARKHAM,THOMAS L.: An Inequality for the Hadamard Product of an M-Matrix and an Inverse M-Matrix, 1 FmDLER, MIROSLAV and MARKHAM, THOMAS L.: A Characterization of the Closure of Inverse M-Matrices, 209 FIEDLER, MIROSLAV AND PT.~K, VLASTIMIL: Loewner and Bfzout Matrices, 187 FLETCHER, R.: Degeneracy in the Presence of Roundoff Errors, 149 FORCADE, RODNEYW.: See Barrett, Wayne W. F6RSTER, K-H. and NAGY, B.: On the CollatzWielandt Numbers and the Local Spectral Radius of a Nonnegative Operator, 193 Fox, DAVID W.: See Beattie, Christopher FRANCHETrI, C. and TmERIO, U.: A Numerical Evaluation of Projection Constants, 179 FRANK, ANDRJLS,and TAEDOS, EVA: An Application of Submodular Flows, 329 FRANKLIN, JOEL and LORENZ, JENS: On the Scaling of Multidimensional Matrices, 717 FREUND, ROLAND and HUCKLE, THOMAS: An Extension Problem for H-Unitary Matrices with Applications to Hermitian Toeplitz Matrices, 213 FmEDLANO, SHMUEL: Bounds on the Spectral Radius of Graphs with e Edges, 81 FRIEDLAND, SHMUEL and HERSHKOWITZ, DANIEL: The Rank of Powers of Matrices in a Block Triangular Form, 17 FRIEDLAND, SHMUEL and LONDON, DAVID: Binyamin Schwarz--on the Occasion of his 70th Birthday, 3 FROMMER, ANVREAS and MAYER, GONTER: Convergence of Relaxed Parallel Multisplitting Methods, 141 FUHnMANN, P. A. and DATrA, B. N.: On Bezoutians, Van der Monde Matrices, and the Lienard-Chipart Stability Criterion, 23 FtmtrrA, TaxAYtmi: A Proof via Operator Means of an Order Preserving Inequality, 129
FtmUTA, TAKAYtmI: The Operator Equation T(H1/nT) ~ = K, 149 GADE~, PAUL D.: Tridiagonal Factorizations of Fourier Matrices and Applications to Parallel Computations of Discrete Fourier Transforms, 169 GAINES, FERGUS: Report: Rourth Dublin conference on Matrix Theory and Its Applications, 133 GAMAS, CARLOS: Conditions for a Symmetrized Decomposable Tensor to Be Zero, 83 GxMmm, ALESSANOaA: Algorithms for Soluble Subalgebras of Finite Dimensional Lie Algebras, 29 GANDER, WALTER: See Arbenz, Peter GANDER, WALTER, GOLLrB, GENE H., and VON MATT, URS: A Constrained Eigenvalue Problem, 815 GATTO, R. and SA~TOm, G.: Biunitarily Diagonalizable Families of Compact Linear Operators, 87 GEERTS, TON: All Optimal Controls for the Singular Linear-Quadratic Problem Without Stability; a New Interpretation of the Optimal Cost, 135 GEI~mDS, A. M. H.: A Short Proof of Tutte's Characterization of Totally Unimodular Matrices, 207 GOBERNA, M. A. and L6PEZ, M. A.: A Theory of Linear Inequality Systems, 77 GODSlL, C. D. and MOHAE, B.: Walk Generating Functions and Spectral Measures of Infinite Graphs, 247 GOHBERC, I.: See Ben-Artzi, A. GoLtm, GENE, H.: See Arbenz, Peter GoLtm, GENE H.: See Gander, Walter GORODETSKY, MICHAEL: On Block Toeplitz Matrices with Analytic Symbol, 41 GOVER, M. J. c.: A Ring of Brownian Matrices, 87 GOVER, M. J. C.: Comparative Review of Applied Linear Algebra, 3rd Ed., by B. Noble and J. W. Daniel and Linear Algebra and Its Applications, 3rd Ed., by G. Strang, 159 GOVER, M. J. c.: Review of Applied Linear Algebra: by Riaz A. Usmani, 53 COVER, M. J. c.: The Determination of Companion Matrices Characterizing Toeplitz and r-Toeplitz Matrices, 81
A U T H O R I N D E X F O R v O L U M E S 101-120 GOWDA, M. SE~THAe,AMA: Pseudomonotone and Copositive Star Matrices, 107 GmSEr,mAUM, A.: Behavior of Slightly Perturbed Lanczos and Conjugate-Gradient Recurrences, 7 GRSTSCrmL, M. and TRtmMPER, K.: Master Polytopes for Cycles of Binary Matroids, 523 GUNAWa.aDENA, ANArmA D., JAIN, S. K., and SNYDEB, LAm~Y: On the Periodicity of the Graph of Nonnegative Matrices, 181
283
and SCHNEIDER,HANs: The Combinatorial
Structure of the Generalized Nullspace of a Block Triangular Matrix, 9 HERSHKOWITZ, DANIEL and SCHNEIDF_aLHANs: On the Generalized Nullspace of MMatrices and Z-Matrices, 5 HEBSHKOWrrz, DANIEL and SCHr~XIDER,HANs: Solutions of Z-Matrix Equations, 25 HEUVERS, KONaAD J., CUMMINCS, L. J., and BHASKAnA RAO, K. P. S.: A Characterization of the Permanent Function by the Binet-Cauchy Theorem, 49 HADJIDIMOS,A. and NEUMAUn,M.: A Note on HICHAM, NICHOLAS J.: Computing a Nearest Symmetric Positive Semidefinite Matrix, the SSOR Convergence Domain Due to Neumaier and Varga, 263 103 HADJIDIMOS, APOSTOLOS, PAPATHEODOBOU, HICMAN, D. G.: See Haemers, W. H. THEODORE S., and SA~XDAXIS,YIm,mxs G.: HOCHBAUM, DORIT S.: See Alon, Noga Optimal Block Iterative Schemes for Cer- HONC, YooPYo and HORN, ROCEB A.: A Canonical Form for Matrices Under Contain Large, Sparse, and Nonsymmetric Linsimilarity, 143 ear Systems, 285 HAEMERS, W. H. and HICMA~, D. G.: Strongly Hooclm.~D, H.: See Bart, H. Regular Graphs with Strongly Regular De- HORIGUCHI, SUSUMU,and MmA~I~R, WILLARD L.: Noisy Sort, A Memory-Intensive Sorting composition, 379 Algorithm, 641 HARTFIEL, D. J.: Cone Control on Nonnegative Control Equations, 115 HORN, ROCER A.: See Hong, YooPyo HARTMAr~, M.: See Chv~tal, V. HUCKLE, THOMAS: See Freund, Roland HA/~TWlC, ROBERT: Review of The Theory Hu, HuI and WANC, QINC: On Approximate of Matrices, Second Edition, by Peter Solutions of Infinite Systems of Linear InLancaster and Miron Tismenetsky, 173 equalities, 429 HASSIN, REFAEL and MEGIDDO, NIMROD: On HUNTEB, JEFFREy J.: Characterizations of Orientations and Shortest Paths, 589 Generalized Inverses Associated with HAYDEN, T. L. and WELLS, JIM: ApproximaMarkovian Kernels, 121 tion by Matrices Positive Semidefinite on a HUmCENS, C. A. J.: On the Existence of an Subspace, 115 Integral Potential in a Weighted Bidirected HEINIC, GEORC and ROST, KARLA:Matrix RepGraph, 541 resentations of Toeplitz-plus-Hankel Matrix Inverses, 65 IVASOV, A. A. and SHPECTOROV, S. V.: The HEINIG, GEORG and ROST, KARLA: On the Association Schemes of Dual Polar Spaces Inverses o1 Toeplitz-plus-Hankel Matrices, of Type 2Azd_ I(P f) Are Characterized by 39 Their Parameters if d ~>3, 133 HELTON, J. WmLIAM: See Agler, Jim HERsnxowrrz, DANmL: See Berman, Abra- JAIN, S. K.: See Berman, A. ham JAIN, S. K.: See Gunawardena, Ananda D. HERsrlxowrrz, DANIEL: See Carlson, David JAMES, DONALD G.: Representations of AnisoHERSHKOWrrz, DA~O_EL:See Friedland, Shmuel tropic Unitary Groups. II, 271 HERSHKOWlTZ, DANIEL: See Shasha, Dafna JANSEN, P. S. M. Kov: See Bart, H. HERSHKOWlTZ, DANmL, ROTHBLUM,URmL G., JEt,ares, CLARK: Eigenvalues, Stability, and and SCHNEIDER, HANS: Characterizations Color Tests, 65 and Classifications of M-Matrices Using JEFrmmS, CLARK and VAN DEN DRmSSCrlE, P.: Generalized NuUspaces, 59 Eigenvalues of Matrices with Tree Graphs, HEaSHKOWrrz, DANmL, ROTHBLUM,UtamL G., 109
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A U T H O R I N D E X F O R V O L U M E S 101-120
JETER, MELVYN W. and PYE, WALLACE C.: Structure Properties of W Matrices, 219 JINADASA, K. G.: Applications of the Matrix Operators vech and vec, 73 JoXo DA PROVID~NCIA: See Bebiano, NatMia J6DAB, LUCAS: Algebraic and Differential Operator Equations, 35 J6o~u~, LUCAS: Explicit Solutions for Second Order Operator Differential Equations with Two Boundary Value Conditions, 73 JOHNSON, CHARLESR.: A Gersgorin-type Lower Bound for the Smallest Singular Value, 1 JOHNSON, CHARLES R.: Combinatorial Matrix Analysis: An Overview, 3 JOHNSON, CHARLES R.: See Eisner, Ludwig JOHNSON, CHAI=tLESR., and PIERCE, STEPHEN: Inequalities for Single-Hook Immanants, 55 JUNCNICKEL, DIETER: Partial Spreads Over Z q, 95
LAIDACKER,MICHAEL: See Poole, George
LAI, M. X.: See Chen, J. C. LANCASTER, P.: See Koltracht, I. LANCASTER, PETER and YE, QtANG: Inverse Spectral Problems for Linear and Quadratic Matrix Pencils, 349 LEE, JoN: Subspaces with Well-Scaled Frames, 21 LEI, LI: Convergence of Asynchronous Iteration with Arbitrary Splitting Form, 119 LEITE, F. SILVA: See Albuquerque, H. LEONG, TUCK SANe: A Note on Upper Bounds on the Maximum Modulus of Subdominant Eigenvalues of Nonnegative Matrices, 1 LEm~R, LEOmD: See Berman, Abraham LEWlN, MORDECHAI: On Inverse M-Matrices, 83 LEwxowmz, IZCHAX: Bounds for the Singular Values of a Matrix with Nonnegative Eigenvalues, 29 KAMPS, U.: Chebyshev Polynomials and Least LEWKOWlCZ, IZCHaX: Remarks on Equality in Squares Estimation Based on One-DepenJohnson's Lower Bounds for the Smallest dent Random Variables, 217 Singular Value of a Matrix, 39 K,~nZa.NOV, A. V.: Polyhedra Related to Undi- LI, C.: See Evans, D. J. rected Multicommodity Flows, 293 LI, CHI-KwoNG: Matrices with Some Extremal KAss, SEYMOUR:Spaces of Closest Fit, 93 Properties, 255 KASZKUREWICZ, EUGENIUS, and BHAYA, AMIT: LI, CHI-KwoNc and TSING, NAM-KIu: Duality Qualitative Stability of Discrete-Time SysBetween Some Linear Preserver Problems. tems, 65 II. Isometrics with Respect to c-Spectral KIa'rANEH, FUAD: On the Continuity of the Norms and Matrices with Fixed Singular Absolute Value Map in the Schatten Values, 181 LL CHI-KwoNG, and TsINC, NAM-KIu: The Classes, 61 KITTANEH, FUAD: See Bhatia, Rajendra Numerical Range of Derivations, 97 KLEINEn, MAr,K: Pairs of Partially Ordered LL CHI-KWONG, TAM, Brr-SHtm, and TStNG, NAM-KIu: Linear Operators Preserving the Sets of Tame Representation Type, 103 (p, q)-Numerical Range, 75 KOLTE,ACrIT, I. and Lancaster, P.: Generalized Schur Parameters and the Effects of Pertur- LL REN-CA~G: A Converse to the Bauer-Fike Type Theorem, 167 bation, 109 LI, WEN: On Regular Splittings oI an MKRAUSE, GERD M.: See Mehrmann, Volker Matrix, 159 KXaISHNA,LALA B.: See Martins, M. Madalena KULKAI',NI, DEVADATTA M.: See Abhyankar, LICH, STEVE: See Beslin, Scott LIN, W. W.: See Dzeng, D. C. Shreeram KwoNc, MAN KAM: On the Definiteness of the LIN, WEN-WEI: The Computation of the Kronecker Canonical Form of an Arbitrary Solutions of Certain Matrix Equations, 177 KWONG, MAN KAM: Some Results on Matrix Symmetric Pencil, 41 LINDQVIST, BO HENRY: Asymptotic Properties Monotone Functions, 129 of Powers of Nonnegative Matrices, with LCFFEY, THOMAS J.: Factorizations of Integer Applications, 555 Matrices as Products of Idempetents and LIU, KANc-MAN: Decomposition of Matrices into Three Involutions, 1 Nilpotents, 81
A U T H O R I N D E X F O R V O L U M E S 101-120
LOEWY,RAPHAEL: Dimension of Faces Gener-
285
MAYREE, JOHN S. and RICNM~'~, D~'~IEL J.: Some Properties of GM-matrices and their Inverses, 275 MAYER, GOrcrsR: See Frommer, Andrea, MCCULLOUCH, SCOTT: See Agler, Jim MEGIDDO, NIMROD: See Ha,sin, Refael MEHRMAm~, VOLEER and Ki~USE, GERD M.: Linear Transformations Which Leave ControUable Multiinput Descriptor Systems Controllable, 47 MENDELSOHN, N. S. and PADMA~ARHAN, R.: Self-Inscribed Polygons with Vertices on Nonsingular Cubic Curves, 603 MERTENS, L. and VAN DE VEL, H.: A Special Class of Structured Matrices Constructed with the Kronecker Product and Its Use for Difference Equations, 117 MESHULAM, ROY: On Two Extremal Matrix MAcDOUGALL, J. A.: See Sweet, L. G. Problems, 261 MAcLEoD, ALLANJ.: Finite-Dimensional Reg- MEYER, CARL D.: Uncoupling the Perron ularization with Nonidentity Smoothing Eigenvector Problem, 69 Matrices, 191 MIAO, JIAN-MINc and ROBINSON, DONALD W.: MAcRAE, R. E.: On the Theory of Division Group and Moore-Penrose Inverses of RegAlgebras, 121 ular Morphisms with Kernel and Cokernel, MADDOCKS, J. H.: Restricted Quadratic Forms, 263 Inertia Theorems, and the Schur Comple- MICALI, ABTIBANO: See Mallol, Cristian ment, 1 MICALI, ARTIRANO, CAMPOS, TLrciA M. M., MAITI, SAOHAN SAMAR: See Mukherjee, COSTA E SILVA, MARIA C., and FEmU~IRA, Bishwa Nath SILVIA M. M.: D6rivations dans les Alg6bres MALLOL, CRISTIAN and MICAm, ARTIBANO: Gam&iques. III, 79 Sur les Alg~bres de Berustein. II, 11 MICCHELLI, CHARLES A. and PaAtrrzscH, MARCHI, Ezlo: See Cohen, Joel E. HARTMtYr: Uniform Refinement of Curves, 841 MARcus, MARVIN and S~.r~roy, MARKUS: Symmetry Properties of Higher Numerical MICHAEL, T. S.: See Brualdi, Richard A. Ranges, 213 MILLER, D. F.: The Iterative Solution of the Matrix Equation XA + BX + C = 0, 131 MAm~AM, THOMASL.: See Fiedler, M. MAm~AAM,THOMAS L.: See Fiedler, Miroslav MIBAra~ER, WlLLARD L.: See Horiguchi, MARKIEWlCZ, AUCUSTYN: See Baksalary, Susumu MITRA, SUJIT KUMAR: Infimum of a Pair of Jerzy K. MARTiNEz-LEGAZ, JUAN-ENRIQUEand SINGER, Matrices, 163 IVAN: The Structure of Hemispaces in R n, MNmMNE, R.: Formule de Taylor pour le 117 D6terminant et Deux Applications, 39 MmartNs, M. MADALZNAand KRISHNA,LALA MortAR, B.: See Godsfl, C. D. B.: Some New Results on the Convergence MoH,~a, BOIAN: Isoperimetric Inequalities, of the SSOR and USSOR Methods, 185 Growth, and the Spectrum of Graphs, 119 MARugI~, D., SCAPE~TO, R., and SALVI, N. MORLEy, T. D.: See Butler, C. A. ZAGAGLIA: A Characterization of Particular Momus, JR., WALTma D.: Counterexamples to Symmetric (0,1) Matrices, 153 Q-Matrix Conjectures, 135 MA~EE, JOHN S.: Some Possible New Direc- MUmaVmlEE, BISHWA NATH and Mxrri, SADtions for Combinatorial Matrix Analysis, 2,3 HAN SAM~a: On Some Properties of Positive
ated by Certain Positive Linear Operators, 199 LoEwY, RAPHAEL: On Faces Generated by Certain Positive Linear Transformations, 95 LONDON, DAVID: See Friedland, Shmuel LONGSTAVV, W. E.: On Tridiagonalization of Matrices, 153 L6PEZ, M. A.: See Goberua, M. A. LORENZ, JENS: See Franklin, Joel Lov.~sz, L., SAEs, M., and Scm~ilVER, A.: Orthogonal Representations and Connectivity of Graphs, 439 LYPCHUK, TANYA A., SMITH, MALCOLM C., and Tmarw_.m3xgM, ALLEN: Weighted Sensitivity Minimization: General Plants in H a and Rational Weights, 71
286
AUTHOR I N D E X FOR VOLUMES 101-120
Definite Toeplitz Matrices and Their Possible Applications, 211 MULLEN, GARYL. and VAUCHAN,THERESAP.: Cycles of Linear Permutations Over a Finite Field, 63 NAGY, B.: See FSrster, K.-H. NEUDECKER, H.: See Browne, M. W. NEuMAmR, A.: Graph Representations, TwoDistance Sets, and Equiangular Lines, 141 NEUMAmR, A.: See Brouwer, A. E. NEUMANN, M.: See Hadjidimos, A. NEUMANN, MICHAEL: See Bru, Rafael NEUMANN, MICHAEL and STERN, RCNALD J.: Discrete Approximations to Reachability Cones of Linear Differential Systems, 65 NISHI, AKIHmO: A Generalization of the Binet-Minc Formula for the Evaluation of Permanents, 209 NORMAN, C. W.: Resultants and Lyapunov Matrix Equations, 109
OGRYCZAK,WLODZIMIERZ:Tim Simplex Method is Not Always Well Behaved, 41
OLESKY, D. D. and vAN DEN DRIESSCHE, P.: Conference Report, 367 OLIVlER, P., RAHMAN,Q. I., and V~a~CA,R. S.: On a New Proof and Sharpenings of a Result of Fej6r on Bounded Partial Sums, 293 OLSDER, G. J. and RoDs, C.: Cramer and Cayley-Hamilton in the Max Algebra, 87 OVlEOO, JORCE A.: See Cohen, Joel E. PADMAZ~A~HAN,R.: See Mendelsohn, N. S. PAN, C.-T.: A Vector Majorization Method for Solving a Nonlinear Programming Problem, 129 PANG, J.-S.: See Cottle, R. W. PANe, MINC-XIAN: On Constructions of PartiaUy Nonpositive Matrices, 49 PAPATHEODOROU, THEODOBE S.: See Hadjidimos, Apostolos PATERA, J. and ZASSENttAUS,H.: On Lie Gradings. I, 87 PATE, THOMASH.: Generalizing the Inequality Per(/2®M ) >~2'[Per(M)] z, 81 PATE, THOMAS H.: Lower Bounds for Permanents of Gram Matrices Having a Rank One Principal Submatrix, 249
PELED, URI N. and SRINIVASAN,MURALI K.: Ttle Polytopo of Degree Sequences, 349 PERESI, LuIz A.: A Note on Duplication of Algebras, 65 PElmSI, Lvlz, A.: On Derivations of Baric Algebras with Prescribed Automorphisms, 71 PERLMAN, MICHAELD.: See Andersson, Steen A. PETZ, D~r,ms and ZEM.~,NEK,JAEOSLAV:Characterizations of the Trace, 43 PIERCE, STEPHEN: See Johnson, Charles R. Ptasss, VERAS.: See Brualdi, Richard A. POHLMEYER, K.: Solution of the Constraints for Tensors Generated by Iterated Integrals, 11 POLLINGTON, ANDREW D.: See Barrett, Wayne W. POLMAN, BEN: See Eijldaout, Victor POOLE, GEORGED. and I.,AIDACIGER,MICHAEL: Projectionally Exposed Cones in R 3, 183 POWERS, DAVID L.: Bounds on Graph Eigenvalues, 1 POWERS, DAVID L.: Graph Partitioning by Eigenvectors, 121 PRAUTZSCH, HA2aTMtrr: See Micchelli, Charles A. Prim, VLASTIMIL: See Fiedler, Miroslav PUKELSHEIM, FRIEDRICH: See Baksalary, Jerzy K. PULImYBLANK, WILLIAM R.: See Coullard, Collette R. PULLMAN, NORMAN].: See Beasley, LeRoy B. PULLMAN, NORMANJ. and STANFORD,MIRIAM: Singular (0,1) Matrices with Constant Row and Column Sums, 195 PYE, WALLACEC.: See Jeter, Melvyn W.
RACHAVAN,T. E. S.: See Bapat, R. B. RAHMA~, Q. I.: See Olivier, P. RAIAN, ARVlND: See Bixby, Robert E. RAND, D., WINTERNITZ, P., and ZASSEmtAUS, H.: On the Identification of a Lie Algebra Given by Its Structure Constants. I. Direct Decompositions, Levi Decompositions, and Nilradicals, 197 RAn, G. VITHAL: See Ran, M. L. Narayana RAn, M. L. NARAYANA,SATYANARAYANA,K., and RAn, G. VITHAL: On a Class of Derived Translation Planes of Square Order, 81
A U T H O R I N D E X F O R V O L U M E S 101-120 RAY-CHAtrOHtmI, D. K. and Smcm, N. M.: q-Analogues of t-Designs and Their Existence, 57 REDHEFrXR, RAY and V O W , PEaxn: Positive Linear Functionals and the Order Cone, 77 RmHAR,os, MArK P.: See Dokovi6, Dragomir
287
tropy Minimization, and Conjugate Duality. I. Existence Conditions, 785 SCHmmK, H. and T i m i n g , G.: A Note on Certain Subpolytopes of the Assignment Polytope Associated with Circ~ant Graphs, 125 SCHmJVEn, A.: Homotopy and Crossings of 2 Systems of Curves on a Surface, 157 RICHM.~, DANIEL J.: See Maybee, John S. ScmaijvzR, A.: See Lov~sz, L. RomusoN, DONALD W.: See Miao, Jian-Ming SCHVMACrmR, J. M.: Transformations of LinRObinsoN, DONALD W. and BmmzTr, W A Y N E ear Systems Under External Equivalence, 1 W.: The Jordan 1-Structure of a Matrix of SCHWAI~Z, BINYAMIN and ZAKS, AmamtXM: Redhe fer, 57 Generalized Contractions of the Matrix Unit ROD~AN, I~mA: See Agler, Jim Disk, 177 ROMAm, FI~a~CESCO: See Bevilacqua, Roberto SEIDEL, J. J.: See Delsarte, P. Roos, C.: See Olsder, G. J. SENETA, E.: Sensitivity to Perturbation of the RosT, KARLA: See Heinig, Georg Stationary Distribution: Some Refinements, RoTI~, ROBERT: On the Eigenvectors Belong121 ing to the Minimum Eigenvalue of an Es- SESSA, SALVATO~: See Di Nola, Antonio sentially Nonnegative Symmetric Matrix SHAMna, RON: See Alon, Noga with Bipartite Graph, 1 SHAMI~, T.: Partial Realization of Symmetric ROTHBLUM, URIEL G.: Generalized Scalings Matrix Rational Functions, 139 Satisfying Linear Equations, 765 SHAO, JIA-YU: See Dong, Wei-Quan ROTrmLUM, U~mL G.: Preface, 1 SHASItA, DAFNA and BF2m~AN,ABmmxM: More ROTHBLVM, URIEL G.: See Eaves, B. Curtis on the Uniqueness of the Lyapunov Scaling ROTHBLUM, URmL G.: See Hershkowitz, Daniel Factors, 309 ROTmSLUM, U~IEL G. and SCHr~XlDEB,HANS: SHASnA, DAr~A and HEnsHKowrrz, DANmL: Scalings of Matrices Which Have PrespeciMaximal Lyapunov Scaling Factors and fled Row Sums and Column Sums via OptiTheir Applications in the Study of Lyamization, 737 punov Diagonal Semistability of Block TriROWLINSON, PEamR: On the Maximal Index of angular Matrices, 21 Graphs with a Prescribed Nmnber of Edges, SHASTRI, ADITYA: See Chen, Yong-Chuan 43 SHEAm~R, JAM~S B.: On the Distribution of the Maximum Eigenvalue of Graphs, 17 SAITOH, SA.BIYROU:Quadratic Inequalities As- SHPECTOI~OV, S, V.: See Ivanov, A. A. sociated with Integrals of Reproducing Ker- SIoI, AvRma: On Extensions of the Power nels, 269 Method for Normal Operators, 207 Saxs, M.: See Lov£sz, L. SIEMONS, JOHANNES: See Camina, Alan SALvI, N. ZAGAGLIA:See Maru~i~, D. SmvA, F. CONCEI~XO: Spectrally Complete SANDY, Ma.m~us: See Marcus, Marvin Pairs of Matrices, 239 SAmDAKIS, YIANmS G.: See Hadjidimos, SINCER, IVAN: See Martmez-Legaz, JuanApostolos Enrique S~mTOm, G.: See Gatto, R. SINCH, StmlEET: A Note on Linear Recurring SAa'YANArtAYANA,K.: See Ran, M. L. Narayana Sequences, 97 SC~,PELLArO, R.: See Mart~i~, D. SINCHI, N. M.: See Ray-Chaudhuri, D. K. Scm,mlDma, HANS: See Hershkowitz, Daniel SMITH, MALCOLM C.: See Lypehuk, Tanya A. ScI-tr~rnma, HANs: See Rothblum, Uriel G. SMITH, RONALDL.: Some Notes on Z-Matrices, Scm,mrnma, HANs and STUART, JEFFREY-'Al219 lowable Spectral Perturbations for ZME- SrCYD~, I.,Amw: See Gunawardena, Ananda D. Matrices, 63 SONC, SEoK-Ztm: Minimum Permanents on SCrt~mIDZR, MICHAEL H.: Matrix Scaling, EnCertain Faces of Matrices Containing an
288
A U T H O R I N D E X F O R V O L U M E S 101-120
Identity Submatrix, 263 SRINIVASaN, MtraALI: See Peled, Uri N. ST~aLECKER, P. and TrtENKLER, G.: Full and Partial Minimax Estimation in Regression Analysis with Additional Linear Constraints, 279 STaNFORD, D. P.: See Barker, G. P. STANFORD, MmIAM: See Pullman, Norman J. STERN, RONALDJ.: See Neumann, Michael STEW~aT, G. W.: On Scaled Projections and Pseudoinverses, 189 STUART, JEFFREy: See Schneider, Hans STUNT, JEFFREY L.: The Solutions to an Infinite Family of Matrix Inequalities Involving ZME-matrices, 141 STtraMFELS, BErn,m: Totally Positive Matrices and Cyclic Polytopes, 331 STURMr~LS, BEnND: Tridiagonalization of Complex Matrices and a Problem of Longstaff, 165 STYaN, GEORCE, P. H.: See Baksalary, Jerzy K. SWEET, L. G. and MAcDoucXLL, J. A.: On Automorphisms of Order Three of Division Algebras, 231 SZULC, TOMXSZ:A Lower Bound for the Perron Root of a Nonnegative Matrix. II, 19 SZULC, TOMXSZ: A Lower Bound for the Perron Root of a Nonnegative Matrix, 181
TAM, BIT-SHUN: See Li, Chi-Kwong TANNENBAUM,ALLEN: See Lypchuk, Tanya A. T~aDOS, I~.vA: See Frank, AndrOs TEUMER, GUNTF~: See Blokhius, Aaart THAS, J. A.: Interesting Pointsets in Generalized Qlmdrangles and Partial Geometries, 103 THOMASSEN, C~aSTEN: When the Sign Pattern of a Square Matrix Determines Uniquely the Sign Pattern of Its Inverse, 27 THOMPSON, ROBERT C.: Cyclic Shifts and an Exponential Formula, 9 THOMPSON, ROBERT C.: Special Cases Of a Matrix Exponential Formula, 339 TmEaio, U.: See Franchetti, C. Tt~oFEn, G.: See Schreck, H. TRxPP, GEORCE E.: See Anderson, Jr., William N. TREmO.,ER, G.: See Stahlecker, P. T~NTELM~N, H. L. and vaN DER WOUDE,
J. w.: Almost Invariance and Noninteracting Control: A Frequency-Domain Analysis, 221 TRtrEMPER, K.: See GrStschel, M. TSlNC, NJLM-KIu: See Li, Chi-Kwong UNDERWOOD, E. E.: See Beasley, LeRoy VALENZUELA,OSCARADOLFOS.~CHEZ: Matrix Computations in Linear Superalgebra, 151 VXLI~O, H.: Almost Copositive Matrices, 121 VXLtAaO, H.: Determining the Inertia of a Matrix Pencil as a Function of the Parameter, 245 VXLI~a-XO,H.: Quadratic-Programming Criteria for Copositive Matrices, 163 VT,LX~aO, H.: Testing the Definiteness of Matrices on Polyhedral Cones, 135 VaN B~U~L, M. and BULTrmEL, A.: An Algebraic Method to Solve the Minimal Partial Realization Problem for Scalar Sequences, 237 vaN DEN DRmSSCHE, P.: See Jeflries, Clark vaN DEN DRIESSCHE, P.: See Olesky, D. D. VANDER WOUOE, J. W.: See Trentelman, H. L. VaN DE VEL, H.: See Mertens, L. VAN DOOR~N, P.: See Beelen, Th. VA~CA, R. S.: See Olivier, P. VAUCHaN, THERESA P.: See Mullen, Gary L. VEtNOa-r, JR., Am'arm F.: Conjugate Duality for Convex Programs: A Geometric Development, 663 VEINOTT, JR., ARTHUR F.: Representation of General and Polyhedral Subsemilattices and Sublattices of Product Spaces, 681 VENKATESWar,AN, V.: See Cottle, R. W. VEm~-Jo~nss, D.: A Generalization of Permanents and Determinants, 119 VOLEM~UN, PETER: See Redheffer, Ray YON MATT, URS: See Gander, Walter WAGOWSKI, M/dIC: The Tutte Group of a Weakly Orientable Matroid, 21 WXNC, GUO-RONC: A Cramer Rule for Finding the Solution of a Class of Singular Equations, 27 WaNc, QINC: See Hu, Hui WATER-I-lOUSE, WILLIAM C.: Inner Product Identities on the Unit Circle, 127
A U T H O R I N D E X F O R V O L U M E S 101-120
289
WArmaxoos~, WmLtAM C. : The Map Behind WOLSSON, I ~ N ~ a ~ : A Condition Equivalent to Linear Dependence for Functions with a Binomial Coefficient Matrix Over Z / p Z , Vanishing Wronskian, 1 195 WAT~INS, D. S. and ELsrema, L.: Self-Equiv- Wu, PEx YOAN: Products of Positive Semidefinite Matrices, 53 alent Flows Associated with the GeneralWu, PEt Y o ~ : The Operator Factorizatiun ized Eigenvalue Problem, 107 Problems, 35 WATXtNS, D. S. and ELSNEa, L: Self-Similar Flows, 213 WATKINS, WILLLhaNI:A Determinantal InequalYE, Qt~,NC: See Lancaster, Peter ity for Correlation Matrices, 59 YUAN, HONe: A Bound on the Spectral Radius WEAvr.a, JAMES R.: Real Eigenvalues of Nonof Graphs, 135 negative Matrices Which Commute with a YUAN, HONC: Sharp Lower Bounds on the Symmetric Matrix Involution, 243 Eigenvalues of Trees, 101 WEI, MUSHr~C: The Perturbation of Consistent Least Squares Problems, 231 ZA.nALLA, ION: Interlacing Inequalities and WELLS, JIM: See Hayden, T. L. Control Theory, 9 WEmmrrH, E v ~ M. E.: Two Remarks on ZAI~s, AnI*JLHAM:See Schwarz, Binyamin Matrix Exponentials, 127 ZASSENHAtrS, H.: See Patera, J. WiLnan~, HF~rNY: See Bloidmis, Aart WI~, H ~ a ~ K.: Generalized Bezoutians ZASSENHAUS,H.: See Rand, D. ZEMJ~w_J~,JAaOSLAV: See Petz, D6nes and Block Hankel Matrices, 105 WtM~.~, HxaxLV K.: Linear Matrix Equa- ZHAN¢, GUODONC: On the Convergence Rate of the QL Algorithm with Wilkinson's Shift, tions: The Module Theoretic Approach, 149 131 W1~mw_aa,H~axLV K.: Root Vectors and Jordan Znos¢, Xu: On Inverses and Generalized InChains of Integer Matrices, 161 verses of Hessenberg Matrices, 167 WI~a~En, H~axLV K.: The Matrix Equation X - AXB ffi C and an Analogue of Roth's ZmLXE, GEmaARV: Some Remarks on Matrix Norms, Condition Numbers, and Error EsTheorem, 145 timates for Linear Equations, 29 Wts'rF.xaNrrz, P.: See Rand, D. WOLSSON, K.: Linear Dependence of a Func- Zr~TAK, K.: On the Characterization of the Extremal Points of the Unit Sphere of Mation Set of m Variables with Vanishing trices, 57 Generalized Wronskians, 73
Too often, computing students first experiences of university mathematics will be of abstract theoretical concepts that appear irrelevant to their chosen course of study. This book is a concise introduction to the key mathematical ideas that underpin computer science, continually stressing the application of discrete mathematics to computing. It is suitable for students with little or no knowledge of mathematics, and covers the key concepts in a simple and straightforward way.
The theoretical ideas are constantly reinforced by worked examples and each chapter concludes with a mini case study showing a particular application. This provides further motivation to the reader to engage with the mathematical ideas involved, as well as demonstrating how the mathematics can be applied within a computing context. The book also contains carefully selected exercises for which full worked solutions are provided
Discrete Mathematics For Computing Rod Hagerty Pdf Merger
Rod Haggarty is Deputy Head of the School of Computing and Mathematical Sciences at Oxford Brookes University. He has extensive experience of teaching undergraduate mathematics, and has taught discrete mathematics to computing students for many years. Matlab code for radiation pattern of microstrip patch antenna.