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Matrix Algorithms, Volume 2 - Eigensystems (Paperback)
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Matrix Algorithms, Volume 2 - Eigensystems (Paperback)
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This book is the second volume in a projected five-volume survey of
numerical linear algebra and matrix algorithms. This volume treats
the numerical solution of dense and large-scale eigenvalue problems
with an emphasis on algorithms and the theoretical background
required to understand them. Stressing depth over breadth,
Professor Stewart treats the derivation and implementation of the
more important algorithms in detail. The notes and references
sections contain pointers to other methods along with historical
comments. The book is divided into two parts: dense eigenproblems
and large eigenproblems. The first part gives a full treatment of
the widely used QR algorithm, which is then applied to the solution
of generalized eigenproblems and the computation of the singular
value decomposition. The second part treats Krylov sequence methods
such as the Lanczos and Arnoldi algorithms and presents a new
treatment of the Jacobi-Davidson method. The volumes in this survey
are not intended to be encyclopedic. By treating carefully selected
topics in depth, each volume gives the reader the theoretical and
practical background to read the research literature and implement
or modify new algorithms. The algorithms treated are illustrated by
pseudocode that has been tested in MATLAB implementations.
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