Matrix Computations and Semiseparable Matrices: Eigenvalue and Singular Value Methods, Volume 2

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JHU Press, Jun 1, 2010 - Mathematics - 520 pages
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The general properties and mathematical structures of semiseparable matrices were presented in volume 1 of Matrix Computations and Semiseparable Matrices. In volume 2, Raf Vandebril, Marc Van Barel, and Nicola Mastronardi discuss the theory of structured eigenvalue and singular value computations for semiseparable matrices. These matrices have hidden properties that allow the development of efficient methods and algorithms to accurately compute the matrix eigenvalues.

This thorough analysis of semiseparable matrices explains their theoretical underpinnings and contains a wealth of information on implementing them in practice. Many of the routines featured are coded in Matlab and can be downloaded from the Web for further exploration.

 

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Contents

1 Introduction to semiseparable matrices
1
The reduction of matrices
15
QRalgorithms eigenvalue problems
149
Some generalizations and miscellaneous topics
363
Orthogonal rational functions Inverse eigenvalue problems
411

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About the author (2010)

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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