ENGLISH

Matrix Computations and Semiseparable Matrices - Linear Systems

By Raf Vandebril , Marc van Van Barel , Nicola Mastronardi

Book information

Publisher
JHU
Year
2007
ISBN
0801887143, 9780801887147
Open Library ID
OL11207193M
Language
english
Format
PDF
Filesize
3 MB (2763145 bytes)
Volume
Vol.1
Pages
594\594
Library
Kolxo3
Time added
2010-07-29 05:14:56

Description

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. (Spring 2009)

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