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The Computer Journal 1970 13(1):76-80; doi:10.1093/comjnl/13.1.76
© 1970 by British Computer Society
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The evaluation of eigenvalues and eigenvectors of real symmetric matrices by simultaneous iteration

M. Clint1 * and A. Jenning2 §

1 Department of Computer Science, The Queen's University of Belfast, Belfast, UK, 2 Department of Civil Engineering, The Queen's University of Belfast, Belfast, UK

A method is described of obtaining all or a subset of the eigenvalues and corresponding eigenvectors of real symmetric matrices by iterating simultaneously with a number of trial vectors. Its relationship with a previous simultaneous iteration method is discussed and the results of some numerical tests are given. These methods are useful in cases where a few of the dominant eigenvalues and eigenvectors of large matrices are required.

Received December 1968.

* Department of Computer Science, The Queen's University of Belfast

§ Department of Civil Engineering, The Queen's University of Belfast


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