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Record 74 of 58120
Krylov subspace methods - Theory, algorithms, and applications
Author and Affiliation:
Sad, Youcef(NASA Ames Research Center, Moffett Field, CA, United States)
Abstract: Projection methods based on Krylov subspaces for solving various types of scientific problems are reviewed. The main idea of this class of methods when applied to a linear system Ax = b, is to generate in some manner an approximate solution to the original problem from the so-called Krylov subspace span. Thus, the original problem of size N is approximated by one of dimension m, typically much smaller than N. Krylov subspace methods have been very successful in solving linear systems and eigenvalue problems and are now becoming popular for solving nonlinear equations. The main ideas in Krylov subspace methods are shown and their use in solving linear systems, eigenvalue problems, parabolic partial differential equations, Liapunov matrix equations, and nonlinear system of equations are discussed.
Publication Date: Jan 01, 1990
Document ID:
19920043589
(Acquired Nov 22, 1995)
Accession Number: 92A26213
Subject Category: NUMERICAL ANALYSIS
Document Type: Conference Paper
Publication Information: SEE A92-26212
Publisher Information: United States
Meeting Information: 9th International Conference on the Computing Methods in Applied Sciences and Engineering; Jan. 29-Feb. 2, 1990; Paris; France
Contract/Grant/Task Num: NCC2-387
Financial Sponsor: NASA; United States
Organization Source: NASA Ames Research Center; Moffett Field, CA, United States
Description: 18p; In English
Distribution Limits: Unclassified; Publicly available; Unlimited
Rights: Copyright
NASA Terms: EIGENVALUES; LIAPUNOV FUNCTIONS; LINEAR SYSTEMS; NONLINEAR EQUATIONS; PARABOLIC DIFFERENTIAL EQUATIONS; GALERKIN METHOD; ITERATIVE SOLUTION; MATRICES (MATHEMATICS); PARTIAL DIFFERENTIAL EQUATIONS; SEMICONDUCTOR DEVICES
Imprint And Other Notes: IN: Computing methods in applied sciences and engineering; Proceedings of the 9th International Conference, Paris, France, Jan. 29-Feb. 2, 1990 (A92-26212 09-64). Philadelphia, PA, Society for Industrial and Applied Mathematics, 1990, p. 24-41. Research supported by DARPA.
Availability Source: Other Sources
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