Document Zbl 0222.65047

Generalized Rayleigh methods with applications to finding eigenvalues of large matrices. (English) Zbl 0222.65047

Linear Algebra Appl. 4, 353-368 (1971).

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MSC:

65F15	Numerical computation of eigenvalues and eigenvectors of matrices
65F30	Other matrix algorithms (MSC2010)

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References:

[1]	Bauer, F. L., Das Verfahren der Treppeniteration und verwandte Verfahren zur Lösung algebraischer Eigenwertprobleme, Z. Angew. Math. Phys., 8, 214-235 (1957) · Zbl 0078.12103
[2]	Businger, P. A., Eigenvalues and eigenvectors of a real symmetric matrix by the QR method, Comm. ACM, 8, 4, 218-219 (1965), algorithm 254
[3]	Collar, A. R., Some notes on Jahn’s method for the improvement of approximate latent roots and vectors of a square matrix, Quart. J. Mech., 1, 145-148 (1948) · Zbl 0035.20502
[4]	Erdelyi, I., An iterative least-square algorithm suitable for computing partial eigensystems, SIAM J. Numer. Anal. Ser. B, 2, 3, 421-436 (1965) · Zbl 0171.36005
[5]	Fox, L., An Introduction to Numerical Linear Algebra (1965), Oxford University Press · Zbl 0122.35701
[6]	Gantmacher, F. R., The Theory of Matrices (1959), Chelsea: Chelsea New York · Zbl 0085.01001
[7]	Gould, S. H., Variational Methods for Eigenvalues Problems (1957), University of Toronto Press · Zbl 0077.09603
[8]	Householder, A. S., The Theory of Matrices in Numerical Analysis (1964), Blaisdell: Blaisdell Waltham, Mass · Zbl 0161.12101
[9]	Isaacson, E.; Keller, H. B., Analysis of Numerical Methods (1966), Wiley: Wiley New York · Zbl 0168.13101
[10]	(Ralston, A.; Wilf, H. S., Mathematical Methods for Digital Computers, Vol. 2 (1967), Wiley: Wiley New York) · Zbl 0183.18601
[11]	Wilkinson, J. H., The Algebraic Eigenvalue Problem (1965), Clarendon Press: Clarendon Press Oxford · Zbl 0258.65037

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