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Abstract: In this thesis, we propose a highly efficient accelerating method for the restarted Arnoldi iteration to compute the eigenvalues of a large nonsymmetric matrix. Its effectiveness is proved by various numerical experiments and comparisons with other approaches. Several new results on the characteristics of the polynomial acceleration are also reported. The Arnoldi iteration has been the most popular method for nonsymmetric large eigenproblems. Its defect of increasing computational complexity... (Update)
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BibTeX entry: (Update)
A. Nishida, Polynomial Acceleration for Large Nonsymmetric Eigenproblems, PhD thesis, the University of Tokyo, Tokyo, 1998. http://citeseer.ist.psu.edu/nishida97polynomial.html More
@booklet{ nishida97polynomial,
author = "A.~Nishida and ~R.~Suda and ~Y.~Oyanagi",
title = "{Polynomial Acceleration for Restarted Arnoldi Method and its Parallelization}",
address = "USA",
howpublished = "Third IMACS International Symposium on Iterative Methods in Scientific Computation",
year = "1997",
url = "citeseer.ist.psu.edu/nishida97polynomial.html" }
Citations (may not include all citations):2441 The Johns Hopkins University Press (context) - Golub, Loan et al. - 1996
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218 Iterative Solution of Large Linear Systems (context) - Young - 1971
178 Sparse matrix test problems (context) - Duff, Grimes et al. - 1989
167 The principle of minimized iterations in the solution of the.. (context) - Arnoldi - 1951
151 Iterative solution of linear systems - Freund, Golub et al. - 1991
144 A Jacobi-Davidson iteration method for linear eigenvalue pro.. - Sleijpen, van der Vorst - 1996
139 Implicit application of polynomial filters in a k-step Arnol.. (context) - Sorensen - 1992
114 Linear Operators (context) - Dunford, Schwartz - 1988
104 Introduction to Parallel and Vector Solution of Linear Syste.. (context) - Ortega - 1988
96 The iterative calculation of a few of the lowest eigenvalue .. (context) - Davidson - 1975
[Article contains additional citations not shown here]
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