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Ïîèñê êíèã, ñîäåðæàùèõ: Gaussian elimination



ÊíèãàÑòðàíèöû äëÿ ïîèñêà
Êîðìåí Ò., Ëåéçåðñîí ×., Ðèâåñò Ð. — Àëãîðèòìû: ïîñòðîåíèå è àíàëèç693
Kedlaya K.S., Poonen B., Vakil R. — The William Lowell Putnam Mathematical Competition 1985–2000: Problems, Solutions, and Commentary97
Henrici P. — Applied and Computational Complex Analysis. I: Power Series, Integration, Conformal Mapping, Location of Zeros.554, 627
Press W.H., Teukolsky S.A., Vetterling W.T. — Numerical recipes in FORTRAN7733f., 51, 55, 1014f.
Ito K. — Encyclopedic Dictionary of Mathematics. Vol. 2302.B
Bulirsch R., Stoer J. — Introduction to numerical analysis102, 167ff, 191ff, 368, 380, 519
Brown W.C. — Matrices over communicative rings225
Lipschutz Seymour — Schaum's Outline of Theory and Problems of Linear Algebra (Schaum's Outlines)8, 24—26, 100, 261
Ben-Israel A., Greville T. — Generalized inverses: Theory and applications20
Olver P.J. — Equivalence, Invariants and Symmetry309
Finlayson B.A. — Numerical Methods for Problems With Moving Fronts25
Trottenberg U., Schuller A., Oosterlee C. — Multigrid14, 486
Latrve D.R., Kreider D.L., Proctor T.G. — Hp-48G/Gx Investigations in Mathematics429, 435
Golub G.H., Ortega J.M. — Scientific Computing and Differential Equations : An Introduction to Numerical Methods81ff, 101ff, 283ff
Crisfield M.A. — Non-Linear Finite Element Analysis of Solids and Structures. Vol. 2: Advanced Topics74
Higham N. — Accuracy and stability of numerical algorithms170—174 (see also “LU factorization”)
Mathews J.H., Fink K.D. — Numerical Methods Using MATLAB125, 128, 143, 150
Golub G.H., van Loan C.F. — Matrix Computations94ff
Saad Y. — Iterative Methods for Sparse Linear Systems60, 176, 269—273, 278, 282, 283, 285—287, 368, 369, 383
Mishra B. — Algorithmic algebra133
Baker A. — Matrix Groups: An Introduction to Lie Group Theory226
Messer R. — Linear Algebra: Gateway to Mathematics69
Zienkiewicz O.C., Taylor L.R. — The finite element method (vol. 1, The basis)577, 578
Meyer C.D. — Matrix analysis and applied linear algebra2, 3
Bini D., Pan V.Y. — Polynomial and matrix computations. Fundamental algorithms. Vol.1100
Shampine L.F., Allen R.C., Pruess Jr.S. — Fundamentals of numerical computing32—42
Bender C., Orszag S. — Advanced Mathematical Methods for Scientists and Engineers398
Buss S.R. — 3-D computer graphics. A mathematical introduction with openGL316
Konheim A.G. — Computer Security and Cryptography91—111
Artin M. — Algebra12
Becker A.A. — The Boundary Element Method in Engineering. A complete course4, 6, 34—37, 53, 56, 82, 113, 249, 255
Curtain R.F., Pritchard A.J. — Functional Analysis in Modern Applied Mathematics284
Gracia-Bondia J.M., Varilly J.C., Figueroa H. — Elements of Noncommutative Geometry135
Grotschel M., Lovasz L., Schrijver A. — Geometric Algorithms and Combinatorial Optimization36—40
Kaczynski T., Mischaikow K.M. — Computational Homology107
Hogben L. — Handbook of Linear Algebrasee «LU factorizations»
Polyanin A., Manzhirov A.V. — Handbook of Mathematics for Engineers and Scientists199
Coffin D. — Algebra and Pre-Calculus on the HP 48G/GX144—149
Bapat R.B., Raghavan T.E., Rota G.C. (Ed) — Nonnegative Matrices and Applications30, 241
Shoup V.A. — Computational Introduction to Number Theory and Algebra325
Blyth T.S., Robertson E.F. — Basic Linear Algebra35
Williamson S. — Combinatorics for computer science364, 441
Bronson R. — Schaum's Outline of Matrix Operations12
Cohen H.A. — A Course in Computational Algebraic Number Theory48
Delves L.M. (ed.), Walsh J. (ed.) — Numerical Solution of Integral Equations23—25, 27—28, 56, 59, 67, 248
Papadimitriou C.H. — Computational Complexity242, 272
Cover T.M., Gopinath B. — Open problems in communication and computation113
Sedgewick R. — Algorithms57—65, 71, 76, 504, 508
Rall D. — Computational Solution to Nonlinear Operator Equations54
Volakis J.L., Chatterjee A., Kempel L.C. — Finite element method for elecromagnetics299 (see also “LU decomposition”)
Elberly D.H., Shoemake K. — Game Physics554—558
Ito K. — Encyclopedic Dictionary of Mathematics302.B
Lay D.C. — Linear Algebra And Its Applications13
Kress R., Gehring F.W. — Numerical Analysis11, 14
Higham N.J. — Accuracy and Stability of Numerical Algorithms158—163; see also “LU factorization”
Robinson D.J.S. — A Course in Linear Algebra with Applications39
von zur Gathen J., Gerhard J. — Modern computer algebra101—105, 122, 123, 128, 179, 317, 349, 377, 379, 449, 586, 595, 601, 630, 679, 680, 688, 700, 725
Goldber M.A. (ed.) — Numerical Solution of Integral Equations403—404
Shanbhag D.N. (ed.), Rao C.R. (ed.) — Stochastic Processes - Modelling and Simulation416, 417
Strang G. — Linear Algebra and Its Applications1, 12, 38, 236
Stewart G.W. — Matrix algorithms. Volume 2: Eigensystems157
Ascher U.M., Russell R.D., Mattheij R.M. — Numerical Solution of Boundary Value Problems for Ordinary Differential Equations39
Lawrence C. Paulson — ML for the working programmer90—92
Demmel J.W. — Applied Numerical Linear Algebra31, 38—44
Papadimitriou C.H., Steiglitz K. — Combinatorial Optimization: Algorithms and Complexity173
Saad Y. — Iterative methods for sparse linear systems65, 188, 288—292, 297, 303, 305—307, 392, 393, 452
Oden J.T. — Finite Elements: An Introduction (Vol. 1)109—111
Mattheij R.M.M., Molenaar J. — Ordinary Differential Equations in Theory and Practice (Classics in Applied Mathematics) (No. 43)397
Allaire G. — Numerical Analysis and Optimization: An Introduction to Mathematical Modelling and Numerical Simulation412
Wilkinson J.H. — The algebraic eigenvalue problem200, 484
Dongming Wang — Elimination Practice: Software Tools and Applications96
Herman J., Simsa J., Kucera R. — Equations and Inequalities: Elementary Problems and Theorems in Algebra and Number Theory46
Wen-Tsun W. — Mathematics Mechanizationc1s1. 3, c6s6. 1
Wright S. J. — Primal-dual interior-point methods31
Kozen D.C. — The Design And Analysis Of Algorithms141, 185
Axellson O., Barker V.A. — Finite Element Solution of Boundary Value Problems. Theory and Computation279—287
Olver P.J., Shakiban C. — Applied linear. algebra1, 3, 24, 42, 50, 71, 73, 164, 243, 274, 396, 538, 546, 562, 641
Scott M.L. — Programming Language Pragmatics785
Cook W.J., Cunningham W.H., Pulleyblank W.R. — Combinatorial optimization326
Sewell G. — Computational Methods of Linear Algebra12
Dunn F., Parberry I. — 3D Math Primer for Graphics and Game Development131
Mihalas D., Mihalas B.W. — Foundations of Radiation Hydrodynamics277, 280, 286, 375, 406, 460, 488
Ortega J.M., Voigt R.G. — Solution of Partial Differential Equations on Vector and Parallel Computers20
Trefethen L.N., Bau D. — Numerical Linear Algebrax, 35, 54, 61, 106, 147—171, 325
Stewart G.W., Sun J. — Matrix perturbation theory132
Manturov O.V., Matveev N.M. — A course of higher mathematics: linear algebra, analytic geometry, differential calculus of functions of one variable79, 339
Tannehill J.C., Pletcher R.H., Anderson D.A. — Computational Fluid Mechanics and Heat Transfer148—151
Moh T.T. — Algebra166
Katznelson I., KatznelsonY.R. — A (Terse) Introduction to Linear Algebra (Student Mathematical Library)24
Carl D. Meyer — Matrix Analysis and Applied Linear Algebra Book and Solutions Manual2, 3
Demmel J. — Applied numerical linear algebra31, 38-44
de Souza P.N., Silva J.-N. — Berkeley Problems in Mathematics496
Johnson C. — Numerical solution of partial differential equations by the finite element method112
Astfalk G. — Applications on Advanced Architecture Computers134, 137
Bjoerck A., Dahlquist G. — Numerical mathematics and scientific computation3—20
Fike C.T. — Computer Evaluation of Mathematical Functions86, 88
Press W.H., Teukolsky S.A., Vetterling W.T. — Numerical recipes in Fortran 9033f., 51, 55, 1014f.
Seymour L. — Schaum's Outline of Theory and Problems of Discrete Math112
Ortega J. M. — Iterative Solution of Nonlinear Equations in Several Variables227
Ralston A., Wilf H.S. — Mathematical methods for digital computers67ff, 99
Harman T.L., Dabney J.B., Richert N.J. — Advanced Engineering Mathematicas with MATLAB135, 137
Meurant G. — The Lanczos and conjugate gradient algorithms: from theory to finite precision computations121, 187, 252, 314, 316
Fox W.P., Goirdano F.R., Weir M.D. — First Course in Mathematical Modeling306
Ortega J.M. — Numerical analysis: a second course117, 169ff
Bapat R.B., Raghavan T.E.S. — Nonnegative Matrices and Applications30, 241
Gloub G.H., Ortega J.M. — Scientific Computing and Differential Equations81ff, 101ff, 283ff
Antsaklis P.S., Michel A.N. — Linear Systems647
John Strikwerda — Finite difference schemes and partial differential equations88, 89, 339
Elden L. — Numerical Linear Algebra and Applications in Data Mining21
Borovik A.V. — Mathematics under the microscope8
Varga R.S. — Matrix iterative analysis195
Stewart G.W. — Afternotes on Numerical Analysis92, 98—100, 108, 127, 128, 135
Lenstra H.W. — Development of the Number Field Sieve37, 116
Leeuwen J.V. — Handbook of Theoretical Computer Science: Algorithms and Complexity683
Katz V.J. — A History of Mathematics: An Introduction17—19, 755
Varga R.S. — Scientific Computations on Mathematical Problems and Conjectures11, 25
Moh T.T. — Algebra166
Leeuwen J. (ed.), Meyer A.R., Nivat M. — Algorithms and Complexity, Volume A683
Wilf H.S., Zeilbercer D., Petkovšek M. — A=B172
Geddes K., Czapor S., Labahn G. — Algorithms for computer algebra16, 129, 152, 359, 389—390, 402, 407, 447
Gabbay D.M., Hogger C.J., Robinson J.A. — Handbook of Logic in Artificial Intelligence and Logic Programming: Volume 5: Logic Programming630—631
Barry Steven, Davis Stephen — Essential Mathematical Skills: For Students of Engineering, Science and Applied Mathematics70
Lipschutz S., Lipson M.L. — Schaum's outline of theory and problems of discrete mathematics112
Cox D., Little J., O'Shea D. — Ideals, varieties, and algorithmssee "Algorithm, Gaussian elimination (row reduction)"
Stacey W. — Nuclear reactor physics83
Golberg M.A. — Numerical Solution of Integral Equations403—404
Acton F.S. — Numerical Methods That Work342, 358
Lemm J.M., Meurant G. — Computer Solution of Large Linear Systems62, 66—68, 70, 111, 112, 117, 121, 122, 128, 129, 131—135, 164, 169, 170, 173, 175, 191, 192, 199, 200, 215, 315, 340, 461, 471, 530, 535, 586, 601
Gullberg J. — Mathematics: from the birth of numbers661
Pitts D.R., Sissom L.E. — Schaum's outline of theory and problems of heat transfer63, 76, 77, 102, 322
Higham D.J., Higham N.J. — MATLAB guidesee "LU factorization"
Akenine-Möller T. — Real-Time Renderingsee "Matrix, inverse"
George A., Liu J. — Computer solution of large sparse positive definite systems2, 9, 11, 93, 169
Campbell S.L., Meyer C.D. — Generalized Inverses of Linear Transformations (Classics in Applied Mathematics)246, 250
Cheney W. — Analysis for Applied Mathematics172
Golan J.S. — The Linear Algebra a Beginning Graduate Student Ought to Know (Texts in the Mathematical Sciences)175
Tannehill J.C., Anderson D.A., Pletcher R.H. — Computational Fluid Mechanics and Heat Transfer148—151
Griewank A. — Evaluating derivatives: principles and techniques of algorithmic differentiation166
Joyner D. — Adventures in group theory: Rubik's cube, Merlin's machine, and other mathematical toys134
Chvatal V. — Linear programmingxii, 71—79, 272, 277, 443—444
Geddes K.O., Czapor S.R., Labahn G. — Algorithms for computer algebra16, 129, 152, 359, 389—390, 402, 407, 447
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