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CHAPTERS

CHAPTERS

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Front Matter

pp. i–xxx
Excerpt

1. Principles of Finite Precision Computation

pp. 1–33
Excerpt

2. Floating Point Arithmetic

pp. 35–60
Excerpt

3. Basics

pp. 61–78
Excerpt

4. Summation

pp. 79–92
Excerpt

5. Polynomials

pp. 93–104
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6. Norms

pp. 105–117
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7. Perturbation Theory for Linear Systems

pp. 119–137
Excerpt

8. Triangular Systems

pp. 139–155
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9. LU Factorization and Linear Equations

pp. 157–193
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10. Cholesky Factorization

pp. 195–212
Excerpt

11. Symmetric Indefinite and Skew-Symmetric Systems

pp. 213–229
Excerpt

12. Iterative Refinement

pp. 231–243
Excerpt

13. Block LU Factorization

pp. 245–258
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14. Matrix Inversion

pp. 259–285
Excerpt

15. Condition Number Estimation

pp. 287–304
Excerpt

16. The Sylvester Equation

pp. 305–319
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17. Stationary Iterative Methods

pp. 321–337
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18. Matrix Powers

pp. 339–352
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19. QR Factorization

pp. 353–380
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20. The Least Squares Problem

pp. 381–406
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21. Underdetermined Systems

pp. 407–414
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22. Vandermonde Systems

pp. 415–431
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23. Fast Matrix Multiplication

pp. 433–449
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24. The Fast Fourier Transform and Applications

pp. 451–457
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25. Nonlinear Systems and Newton's Method

pp. 459–469
Excerpt

26. Automatic Error Analysis

pp. 471–487
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27. Software Issues in Floating Point Arithmetic

pp. 489–509
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28. A Gallery of Test Matrices

pp. 511–526
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Appendix A: Solutions to Problems

pp. 527–571
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Appendix B: Acquiring Software

pp. 573–575
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Appendix C: Program Libraries

pp. 577–581
Excerpt

Appendix D: The Matrix Computation Toolbox

pp. 583–585
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Back Matter

pp. 587–680
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cover image Other Titles in Applied Mathematics
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