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• W2246376430 abstract "Let L be a real linear operator with a positive definite symmetric part M. In certain applications a number of problems of the form $Mv = g$ can be solved with less human or computational effort than the original equation $Lu = f$. An iterative Lanczos method, which requires no a priori information on the spectrum of the operators, is derived for such problems. The convergence of the method is established assuming only that $M^{ - 1} L$ is bounded. If $M^{ - 1} L$ differs from the identity mapping by a compact operator the convergence is shown to be superlinear. The method is particularly well suited for large sparse systems arising from elliptic problems. Results from a series of numerical experiments are presented. They indicate that the method is numerically stable and that the number of iterations can be accurately predicted by our error estimate." @default.
• W2246376430 created "2016-06-24" @default.
• W2246376430 creator A5061874474 @default.
• W2246376430 date "1978-08-01" @default.
• W2246376430 modified "2023-09-24" @default.
• W2246376430 title "A Lanczos Method for a Class of Nonsymmetric Systems of Linear Equations" @default.
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• W2246376430 doi "https://doi.org/10.1137/0715053" @default.
• W2246376430 hasPublicationYear "1978" @default.
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