In this Book
- Matrix Computations and Semiseparable Matrices: Eigenvalue and Singular Value Methods
- Book
- 2008
- Published by: Johns Hopkins University Press
summary
The general properties and mathematical structures of semiseparable matrices were presented in volume 1 of Matrix Computations and Semiseparable Matrices. In volume 2, Raf Vandebril, Marc Van Barel, and Nicola Mastronardi discuss the theory of structured eigenvalue and singular value computations for semiseparable matrices. These matrices have hidden properties that allow the development of efficient methods and algorithms to accurately compute the matrix eigenvalues. This thorough analysis of semiseparable matrices explains their theoretical underpinnings and contains a wealth of information on implementing them in practice. Many of the routines featured are coded in Matlab and can be downloaded from the Web for further exploration.
Table of Contents
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- Part I The reduction of matrices
- pp. 15-18
- Part II QR-algorithms (eigenvalue problems)
- pp. 149-154
- Chapter 9 More on QR-related algorithms
- pp. 277-362
- Chapter 13 Orthonormal polynomial vectors
- pp. 429-446
- Chapter 14 Orthogonal rational functions
- pp. 447-466
- Chapter 15 Concluding remarks & software
- pp. 467-470
- Bibliography
- pp. 471-486
- Author/Editor Index
- pp. 487-491
- Subject Index
- pp. 492-498
Additional Information
ISBN
9780801896804
Related ISBN(s)
9780801890529
MARC Record
OCLC
574633094
Pages
520
Launched on MUSE
2012-01-01
Language
English
Open Access
No