Matrix Computations and Semiseparable Matrices; Volume 1: Linear Systems.

Vandebril, Raf; Marc Van Barel; Nicola Mastronardi

ISBN 10: 0801887143 / ISBN 13: 9780801887147

Editore: Baltimore, Johns Hopkins University Press., 2008

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Hardcover, 575 pages, 7.3x9.5 inches. Condition: very good (light cover edge bumps; no jacket issued). ISBN 9780801887147.

Codice articolo 41758

Dati bibliografici

• Titolo: Matrix Computations and Semiseparable Matrices; Volume 1: Linear Systems.
• Editore: Baltimore, Johns Hopkins University Press.
• Data di pubblicazione: 2008
• Lingua: Inglese
• ISBN 10: 0801887143
• ISBN 13: 9780801887147
• Rilegatura: Rilegato
• Cataloghi dei venditori:
  • Mathematics

Descrizione articolo

Riassunto

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.

Informazioni sull?autore

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.