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Technical Matrix Computations and Semiseparable Matrices, Volume 1: Linear Systems
Posted on 2010-04-15
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More Raf Vandebril, Marc Van Barel, Nicola Mastronardi, "Matrix Computations and Semiseparable Matrices, Volume 1: Linear Systems" 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. Download mirror Not all books ... appear on the homepage. In order not to miss many of them follow ebooks section (see top of each page on AH)
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