Matrix Computations and Semiseparable Matrices, Volume I: Linear Systems

Mastronardi, Nicola; Van Barel, Marc; Vandebril, Raf

ISBN 10: 0801887143 ISBN 13: 9780801887147

Published by The John Hopkins University Press, Baltimore, Maryland, U.S.A., 2008

Language: English

Condition: Used - Very good Hardcover

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Hardcover in very good condition. No jacket. Volume one only. HCW.

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Bibliographic Details

Title

Matrix Computations and Semiseparable Matrices, Volume I: Linear Systems

Publisher

The John Hopkins University Press, Baltimore, Maryland, U.S.A.

Publication Date

2008

Language

English

ISBN 10

0801887143

ISBN 13

9780801887147

Binding

Hardcover

Condition

Very Good

Dust Jacket Condition

No Dust Jacket

Book Type

Used

Seller catalogs

Mathematics/Accounting

About this title

Synopsis

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.

About the Authors

Raf Vandebril is a researcher in the Department of Computer Science at the Catholic University of Leuven, Belgium.

Marc Van Barel is a professor of computer science at the Catholic University of Leuven, Belgium.

Nicola Mastronardi is a researcher at the M. Picone Institute for Applied Mathematics, Bari, Italy.

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