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The Computer Journal 1960 3(1):23-27; doi:10.1093/comjnl/3.1.23
© 1960 by British Computer Society
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Householder's Method for the Solution of the Algebraic Eigenproblem

J. H. Wilkinson

National Physical Laboratory, Teddington, UK

In this paper a practical procedure is described for the solution of the eigenproblem based on a method due to Householder. It is claimed that the technique described is the most satisfactory of known methods for general symmetric matrices and may have considerable advantages for unsymmetric matrices. The details of the computation for a simple numerical example are given, and also the results obtained for a 14 x 14 matrix using the ACE computer.


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