The first in-depth, complete, and unified theoretical discussion of the two most important classes of algorithms for solving matrix eigenvalue problems: QR-like algorithms for dense problems and Krylov subspace methods for sparse problems. The author discusses the theory of the generic GR algorithm, including special cases (for example, QR, SR, HR), and the development of Krylov subspace methods. This book also addresses a generic Krylov process and the Arnoldi...
The first in-depth, complete, and unified theoretical discussion of the two most important classes of algorithms for solving matrix eigenvalue problems. It provides theoretical and computational exercises to guide students step by step. A collection of downloadable MATLAB programs, compiled by the author, are available on an accompanying Web site.
David S. Watkins is professor of mathematics at Washington State University.
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