New iterative methods for solution of the eigenproblem
作者： W. W. Bradbury , R. Fletcher
DOI: 10.1007/BF02162089
关键词: Preconditioner 、 Rayleigh quotient 、 Minification 、 Mathematical optimization 、 Mathematics 、 Rayleigh quotient iteration 、 Eigenvalues and eigenvectors 、 Numerical analysis 、 Applied mathematics 、 Iterative method
摘要: Recently developed minimization methods are applied to the of Rayleigh quotient a general eigensystem, producing efficient iterative for finding extremal eigenvalues and associated eigenvectors. Numerical results quoted systems widely differing order, an assessment is made, together with how they compare against other well-known methods.
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M. Engeli, Th. Ginsburg, H. Rutishauser, E. Stiefel, Refined Iterative Methods for Computation of the Solution and the Eigenvalues of Self-Adjoint Boundary Value Problems Birkhäuser Basel. ,(1959) , 10.1007/978-3-0348-7224-9
R. Fletcher, Function minimization by conjugate gradients The Computer Journal. ,vol. 7, pp. 149- 154 ,(1964) , 10.1093/COMJNL/7.2.149
J. H. Wilkinson, The algebraic eigenvalue problem ,(1965)
R. Fletcher, M. J. D. Powell, A Rapidly Convergent Descent Method for Minimization The Computer Journal. ,vol. 6, pp. 163- 168 ,(1963) , 10.1093/COMJNL/6.2.163
Leslie Fox, An introduction to numerical linear algebra ,(1964)
William C. Davidon, Variable Metric Method for Minimization Siam Journal on Optimization. ,vol. 1, pp. 1- 17 ,(1991) , 10.1137/0801001
H. Kadner, M. Engeli — Th. Ginsburg — H. Rutishauser — E. Stiefel, Refined Iterative Methods for Computation of the Solution and the Eigenvalues of Self-Adjoint Bondary Value Problems. (Mitteilungen aus dem Institut für angewandte Mathematik der ETH Zürich, Nr. 8.) 107 S. Basel/Stuttgart 1959. Birkhäuser Verlag. Preis brosch. DM 17,— Zamm-zeitschrift Fur Angewandte Mathematik Und Mechanik. ,vol. 40, pp. 525- 525 ,(1960) , 10.1002/ZAMM.19600401041
E. I., J. H. Wilkinson, The Algebraic Eigenvalue Problem Mathematics of Computation. ,vol. 20, pp. 621- ,(1966) , 10.2307/2003558
William C. Davidon, Variable Metric Method for Minimization Other Information: Orig. Receipt Date: 31-DEC-59. ,(1959) , 10.2172/4252678