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|a 2021044784
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|a 1283900218
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|a 9781611976922
|q (ebook)
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|a 1611976928
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|z 9781611976915
|q (paperback)
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9 |
|a (OCLCCM-CC)1284920775
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|a (OCoLC)1284920775
|z (OCoLC)1283900218
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|a DLC
|b eng
|e rda
|c DLC
|d OCLCF
|d UIU
|d STF
|d OCLCO
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|a pcc
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|a MAIN
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|a QA184.2
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| 100 |
1 |
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|a Börgers, Christoph,
|e author.
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| 245 |
1 |
0 |
|a Introduction to numerical linear algebra /
|c Christoph Börgers, Tufts University, Medford, Massachusetts.
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| 264 |
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1 |
|a Philadelphia :
|b Society for Industrial and Applied Mathematics,
|c [2022]
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| 300 |
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|a 1 online resource.
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| 336 |
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|a text
|b txt
|2 rdacontent
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| 337 |
|
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|a computer
|b c
|2 rdamedia
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| 338 |
|
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|a online resource
|b cr
|2 rdacarrier
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| 490 |
0 |
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|a Other titles in applied mathematics ;
|v 178
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| 504 |
|
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|a Includes bibliographical references and index.
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| 520 |
|
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|a "Fit for students just starting to build a background in mathematics, this textbook provides an introduction to numerical methods for linear algebra problems"--
|c Provided by publisher.
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| 588 |
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|a Description based on print version record and CIP data provided by publisher.
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| 505 |
0 |
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|a A few bits of linear algebra -- Diffusion -- Gaussian elimination -- LU and PLU decompositions -- Band matrices -- Flop counts -- Dot product and the Euclidean norm -- The p-norms -- Matrix norms -- The condition number -- The ill-conditioning of discrete equilibrium diffusion problem -- The ill-conditioning of some (not all) interpolation problems -- Ill-conditioned problems vs. unstable numerical algorithms -- Nonsquare linear systems -- Orthogonal matrices and symmetric matrices -- QR decomposition -- Positive definite matrices and Cholesky decomposition -- A reason to care about eigenvalues : stability of equilibria -- Some basic facts about eigenvalues and eigenvectors -- Power iteration -- Block power iteration for symmetric matrices -- QR iteration -- Singular value decomposition (SVD) -- Some of the many applications of the SVD -- Jacobi and Gauss-Seidel iteration -- Theory of linear iterative methods -- The multigrid method -- Appendix A. Taylor expansions -- Appendix B. Solutions to some of the exercises.
|
| 650 |
|
0 |
|a Algebras, Linear.
|0 http://id.loc.gov/authorities/subjects/sh85003441
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| 650 |
|
0 |
|a Numerical analysis.
|0 http://id.loc.gov/authorities/subjects/sh85093237
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| 650 |
|
6 |
|a Algèbre linéaire.
|
| 650 |
|
6 |
|a Analyse numérique.
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| 650 |
|
7 |
|a MATHEMATICS / Numerical Analysis.
|2 bisacsh
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| 650 |
|
7 |
|a MATHEMATICS / Algebra / Linear.
|2 bisacsh
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| 650 |
|
7 |
|a MATHEMATICS / Applied.
|2 bisacsh
|
| 650 |
|
7 |
|a MATHEMATICS / Matrices.
|2 bisacsh
|
| 650 |
|
7 |
|a COMPUTERS / Data Science / Data Analytics.
|2 bisacsh
|
| 650 |
|
7 |
|a Algebras, Linear
|2 fast
|
| 650 |
|
7 |
|a Numerical analysis
|2 fast
|
| 776 |
0 |
8 |
|i Print version:
|a Börgers, Christoph.
|t Introduction to numerical linear algebra
|d Philadelphia : Society for Industrial and Applied Mathematics, [2022]
|z 9781611976915
|w (DLC) 2021044783
|
| 856 |
4 |
0 |
|u https://epubs.siam.org/doi/book/10.1137/1.9781611976922
|y Society for Industrial and Applied Mathematics
|
| 929 |
|
|
|a oclccm
|
| 999 |
f |
f |
|i cf175408-0233-475a-b093-211af2c6b144
|s 8f70080d-9f26-44b6-85c9-6752151a39ec
|
| 928 |
|
|
|t Library of Congress classification
|a QA184.2
|l Online
|c UC-FullText
|u https://epubs.siam.org/doi/book/10.1137/1.9781611976922
|z Society for Industrial and Applied Mathematics
|g ebooks
|i 13686049
|
