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Matrix Computations and Semiseparable Matrices

Name: Matrix Computations and Semiseparable Matrices
Brand: Johns Hopkins University Press
SKU: 04709918
Availability: OutOfStock
Author: Raf Vandebril
ISBN: 9780801887147

Raf Vandebril

Marc van Barel

Nicola Mastronardi

Limba

engleză

Carte Copertă tare

Codul Libristo: 04709918

Editura Johns Hopkins University Press, ianuarie 2008

In recent years several new classes of matrices have been discovered and their structure exploited t... Descrierea completă

Codul Libristo: 04709918

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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.