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Accuracy and Stability of Numerical Algorithms
monograph
Author(s):
Nicholas J. Higham
Publication date
(Online):
May 25 2012
Publisher:
Society for Industrial and Applied Mathematics
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Genomic Prediction: Accuracy Improvement
Author and book information
Book
ISBN (Print):
978-0-89871-521-7
ISBN (Electronic):
978-0-89871-802-7
Publication date (Print):
January 2002
Publication date (Online):
May 25 2012
DOI:
10.1137/1.9780898718027
SO-VID:
8c8a722b-27d1-4f84-90f2-f1d0635a5c9a
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Book chapters
pp. 1
1. Principles of Finite Precision Computation
pp. 35
2. Floating Point Arithmetic
pp. 61
3. Basics
pp. 79
4. Summation
pp. 93
5. Polynomials
pp. 105
6. Norms
pp. 119
7. Perturbation Theory for Linear Systems
pp. 139
8. Triangular Systems
pp. 157
9. LU Factorization and Linear Equations
pp. 195
10. Cholesky Factorization
pp. 213
11. Symmetric Indefinite and Skew-Symmetric Systems
pp. 231
12. Iterative Refinement
pp. 245
13. Block LU Factorization
pp. 259
14. Matrix Inversion
pp. 287
15. Condition Number Estimation
pp. 305
16. The Sylvester Equation
pp. 321
17. Stationary Iterative Methods
pp. 339
18. Matrix Powers
pp. 353
19. QR Factorization
pp. 381
20. The Least Squares Problem
pp. 407
21. Underdetermined Systems
pp. 415
22. Vandermonde Systems
pp. 433
23. Fast Matrix Multiplication
pp. 451
24. The Fast Fourier Transform and Applications
pp. 459
25. Nonlinear Systems and Newton's Method
pp. 471
26. Automatic Error Analysis
pp. 489
27. Software Issues in Floating Point Arithmetic
pp. 511
28. A Gallery of Test Matrices
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