In this Book
- Matrix Computations and Semiseparable Matrices: Linear Systems
- Book
- 2008
- Published by: Johns Hopkins University Press
summary
In recent years several new classes of matrices have been discovered and their structure exploited to design fast and accurate algorithms. In this new reference work, Raf Vandebril, Marc Van Barel, and Nicola Mastronardi present the first comprehensive overview of the mathematical and numerical properties of the family's newest member: semiseparable matrices. The text is divided into three parts. The first provides some historical background and introduces concepts and definitions concerning structured rank matrices. The second offers some traditional methods for solving systems of equations involving the basic subclasses of these matrices. The third section discusses structured rank matrices in a broader context, presents algorithms for solving higher-order structured rank matrices, and examines hybrid variants such as block quasiseparable matrices. An accessible case study clearly demonstrates the general topic of each new concept discussed. Many of the routines featured are implemented in Matlab and can be downloaded from the Web for further exploration.
Table of Contents
Download Full Book
- I: Introduction to semiseparable and related matrices
- 3 Historical applications and other topics
- pp. 109-141
- II: Linear systems with semiseparable and related matrices
- 4 Gaussian elimination
- pp. 149-180
- 5 The QR-factorization
- pp. 181-204
- 6 A Levinson-like and Schur-like solver
- pp. 205-256
- III: Structured rank matrices
- 12 Block quasiseparable matrices
- pp. 481-490
- 14 Inversion of structured rank matrices
- pp. 499-529
- 15 Concluding remarks & software
- pp. 531-532
- Bibliography
- pp. 533-556
- Author/Editor Index
- pp. 557-563
- Subject Index
- pp. 565-575
Additional Information
ISBN
9780801896798
Related ISBN(s)
9780801887147
MARC Record
OCLC
574633094
Pages
584
Launched on MUSE
2012-08-22
Language
English
Open Access
No