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The Reduction of an Arbitrary Real Square Matrix to Tri-Diagonal Form Using Similarity Transformations

C. Donald La Budde
Mathematics of Computation
Vol. 17, No. 84 (Oct., 1963), pp. 433-437
DOI: 10.2307/2004005
Stable URL: http://www.jstor.org/stable/2004005
Page Count: 5
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The Reduction of an Arbitrary Real Square Matrix to Tri-Diagonal Form Using Similarity Transformations
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Abstract

In this paper a new algorithm for reducing an arbitrary real square matrix to tri-diagonal form using real similarity transformations is described. The method is essentially a generalization of a method due to A. S. Householder for accomplishing the same reduction in the case where the matrix is real and symmetric.

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