The principle of minimized iterations in the solution of the matrix eigenvalue problem
Author:
W. E. Arnoldi
Journal:
Quart. Appl. Math. 9 (1951), 17-29
MSC:
Primary 65.0X
DOI:
https://doi.org/10.1090/qam/42792
MathSciNet review:
42792
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Additional Information
A. C. Aitken, Studies in practical mathematics. I. The evaluation, with applications, of a certain triple product matrix, Proc. Roy. Soc. Edinburgh, 57, 172-181 (1937).
- Cornelius Lanczos, An iteration method for the solution of the eigenvalue problem of linear differential and integral operators, J. Research Nat. Bur. Standards 45 (1950), 255–282. MR 0042791
W. J. Duncan, Galerkin’s method in mechanics and differential equations, R. & M. 1798 (1938).
A. C. Aitken, Studies in practical mathematics. I. The evaluation, with applications, of a certain triple product matrix, Proc. Roy. Soc. Edinburgh, 57, 172-181 (1937).
C. Lanczos, An iteration method for the solution of the eigenvalue problem of linear differential and integral operators, Journal of Research, Nat. Bu. Stand., 45, 255-282 (1950).
W. J. Duncan, Galerkin’s method in mechanics and differential equations, R. & M. 1798 (1938).
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Article copyright:
© Copyright 1951
American Mathematical Society
