عنوان

Accuracy and stability of numerical algorithms

Standard Number

2286

First Statement of Responsibility

Higham, Nicholas J.

Title Proper by Another Author

1691-

Title Proper

Accuracy and stability of numerical algorithms

Place of Publication, Distribution, etc.

Philadelphia, Pa.

Name of Publisher, Distributor, etc.

Society for Industrial and Applied Mathematics )SIAM, 0063 Market Street, Floor 6, Philadelphia, PA 40191(

Date of Publication, Distribution, etc.

2002

Specific Material Designation and Extent of Item

1 electronic text )xxx, 680 p. : ill.( : digital file

Text of Note

Description based on title page of print version

Text of Note

Title from title screen, viewed 10/16/2010

Text of Note

Includes bibliographical references )p. 587-656( and index

Text of Note

2nd ed

Text of Note

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 01: Cholesky Factorization -- Chapter 11: Symmetric Indefinite and Skew-Symmetric Systems -- Chapter 21: Iterative Refinement -- Chapter 31: Block LU Factorization -- Chapter 41: Matrix Inversion -- Chapter 51: Condition Number Estimation -- Chapter 61: The Sylvester Equation -- Chapter 71: Stationary Iterative Methods -- Chapter 81: Matrix Powers -- Chapter 91: QR Factorization -- Chapter 02: The Least Squares Problem -- Chapter 12: Underdetermined Systems -- Chapter 22: Vandermonde Systems -- Chapter 32: Fast Matrix Multiplication -- Chapter 42: The Fast Fourier Transform and Applications -- Chapter 52: Nonlinear Systems and Newton's Method -- Chapter 62: Automatic Error Analysis -- Chapter 72: Software Issues in Floating Point Arithmetic -- Chapter 82: 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

Entry Element

، Computer algorithms

Entry Element

Data processing ، Numerical analysis

Number

Class number

Relator Code

AU

Entry Element

Nicholas J. Higham

CO Society for Industrial and Applied Mathematics

TI

Shelving Form of Title, Author, Author/Title

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