Matrix Computations and Semiseparable Matrices
Linear Systems v. 1
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Matrix Computations and Semiseparable Matrices by Raf Vandebril
Book DescriptionIn 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.
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Book DetailsISBN: 9780801887147
(235mm x 178mm x 36mm)
Imprint: Johns Hopkins University Press
Publisher: Johns Hopkins University Press
Publish Date: 26-Feb-2008
Country of Publication: United States
Books By Author Raf Vandebril
Matrix Computations and Semiseparable Matrices, Hardback (January 2009)» View all books by Raf Vandebril
Many of the routines featured are coded in Matlab and can be downloaded from the Web for further exploration.
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Author Biography - Raf Vandebril
Raf Vandebril is a researcher in the Department of Computer Science at Katholieke Universiteit Leuven, Belgium. Marc Van Barel is a professor of computer science at Katholieke Universiteit Leuven, Belgium. Nicola Mastronardi is a researcher at the M. Picone Institute for Applied Mathematics, Bari, Italy.
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