The Resource Accuracy and stability of numerical algorithms, Nicholas J. Higham, (electronic resource)

Accuracy and stability of numerical algorithms, Nicholas J. Higham, (electronic resource)

Label
Accuracy and stability of numerical algorithms
Title
Accuracy and stability of numerical algorithms
Statement of responsibility
Nicholas J. Higham
Creator
Contributor
Subject
Language
eng
Summary
Accuracy and Stability of Numerical Algorithms gives a thorough, up-to-date treatment of the behavior of numerical algorithms in finite precision arithmetic. It combines algorithmic derivations, perturbation theory, and rounding error analysis, all enlivened by historical perspective and informative quotations. This second edition expands and updates the coverage of the first edition (1996) and includes numerous improvements to the original material. Two new chapters treat symmetric indefinite systems and skew-symmetric systems, and nonlinear systems and Newton's method. Twelve new sections include coverage of additional error bounds for Gaussian elimination, rank revealing LU factorizations, weighted and constrained least squares problems, and the fused multiply-add operation found on some modern computer architectures
Additional physical form
Also available in print version.
Cataloging source
CaBNvSL
http://library.link/vocab/creatorDate
1961-
http://library.link/vocab/creatorName
Higham, Nicholas J.
Dewey number
519.4/0285/51
Illustrations
illustrations
Index
index present
LC call number
QA297
LC item number
.H53 2002eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Society for Industrial and Applied Mathematics
http://library.link/vocab/subjectName
  • Numerical analysis
  • Computer algorithms
Target audience
adult
Label
Accuracy and stability of numerical algorithms, Nicholas J. Higham, (electronic resource)
Link
http://libraries.ou.edu/access.aspx?url=http://epubs.siam.org/ebooks/siam/other_titles_in_applied_mathematics/ot80
Instantiates
Publication
Bibliography note
Includes bibliographical references (p. 587-656) and index
Color
black and white
Contents
List of Figures -- List of Tables -- Preface to Second Edition -- Preface to First Edition -- About the Dedication -- Chapter 1: Principles of Finite Precision Computation -- Chapter 2: Floating Point Arithmetic -- Chapter 3: Basics -- Chapter 4: Summation -- Chapter 5: Polynomials -- Chapter 6: Norms -- Chapter 7: Perturbation Theory for Linear Systems -- Chapter 8: Triangular Systems -- Chapter 9: LU Factorization and Linear Equations -- Chapter 10: Cholesky Factorization -- Chapter 11: Symmetric Indefinite and Skew-Symmetric Systems -- Chapter 12: Iterative Refinement -- Chapter 13: Block LU Factorization -- Chapter 14: Matrix Inversion -- Chapter 15: Condition Number Estimation -- Chapter 16: The Sylvester Equation -- Chapter 17: Stationary Iterative Methods -- Chapter 18: Matrix Powers -- Chapter 19: QR Factorization -- Chapter 20: The Least Squares Problem -- Chapter 21: Underdetermined Systems -- Chapter 22: Vandermonde Systems -- Chapter 23: Fast Matrix Multiplication -- Chapter 24: The Fast Fourier Transform and Applications -- Chapter 25: Nonlinear Systems and Newton's Method -- Chapter 26: Automatic Error Analysis -- Chapter 27: Software Issues in Floating Point Arithmetic -- Chapter 28: A Gallery of Test Matrices -- Appendix A: Solutions to Problems -- Appendix B: Acquiring Software -- Appendix C: Program Libraries -- Appendix D: The Matrix Computation Toolbox -- Bibliography -- Name Index -- Subject Index
Dimensions
unknown
Edition
2nd ed.
Extent
1 electronic text (xxx, 680 p. : ill.)
File format
multiple file formats
Form of item
online
Governing access note
Restricted to subscribers or individual electronic text purchasers
Isbn
9780898718027
Isbn Type
(electronic bk.)
Other control number
OT80
Other physical details
digital file.
Reformatting quality
access
Specific material designation
remote
System control number
  • 3844991-01okla_normanlaw
  • (SIRSI)3844991
  • (Sirsi) i9780898718027
  • (CaBNvSL)gtp00544283
System details
  • Mode of access: World Wide Web
  • System requirements: Adobe Acrobat Reader
Label
Accuracy and stability of numerical algorithms, Nicholas J. Higham, (electronic resource)
Link
http://libraries.ou.edu/access.aspx?url=http://epubs.siam.org/ebooks/siam/other_titles_in_applied_mathematics/ot80
Publication
Bibliography note
Includes bibliographical references (p. 587-656) and index
Color
black and white
Contents
List of Figures -- List of Tables -- Preface to Second Edition -- Preface to First Edition -- About the Dedication -- Chapter 1: Principles of Finite Precision Computation -- Chapter 2: Floating Point Arithmetic -- Chapter 3: Basics -- Chapter 4: Summation -- Chapter 5: Polynomials -- Chapter 6: Norms -- Chapter 7: Perturbation Theory for Linear Systems -- Chapter 8: Triangular Systems -- Chapter 9: LU Factorization and Linear Equations -- Chapter 10: Cholesky Factorization -- Chapter 11: Symmetric Indefinite and Skew-Symmetric Systems -- Chapter 12: Iterative Refinement -- Chapter 13: Block LU Factorization -- Chapter 14: Matrix Inversion -- Chapter 15: Condition Number Estimation -- Chapter 16: The Sylvester Equation -- Chapter 17: Stationary Iterative Methods -- Chapter 18: Matrix Powers -- Chapter 19: QR Factorization -- Chapter 20: The Least Squares Problem -- Chapter 21: Underdetermined Systems -- Chapter 22: Vandermonde Systems -- Chapter 23: Fast Matrix Multiplication -- Chapter 24: The Fast Fourier Transform and Applications -- Chapter 25: Nonlinear Systems and Newton's Method -- Chapter 26: Automatic Error Analysis -- Chapter 27: Software Issues in Floating Point Arithmetic -- Chapter 28: A Gallery of Test Matrices -- Appendix A: Solutions to Problems -- Appendix B: Acquiring Software -- Appendix C: Program Libraries -- Appendix D: The Matrix Computation Toolbox -- Bibliography -- Name Index -- Subject Index
Dimensions
unknown
Edition
2nd ed.
Extent
1 electronic text (xxx, 680 p. : ill.)
File format
multiple file formats
Form of item
online
Governing access note
Restricted to subscribers or individual electronic text purchasers
Isbn
9780898718027
Isbn Type
(electronic bk.)
Other control number
OT80
Other physical details
digital file.
Reformatting quality
access
Specific material designation
remote
System control number
  • 3844991-01okla_normanlaw
  • (SIRSI)3844991
  • (Sirsi) i9780898718027
  • (CaBNvSL)gtp00544283
System details
  • Mode of access: World Wide Web
  • System requirements: Adobe Acrobat Reader

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