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International Journal of Computer Mathematics
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A Direct Method for Solving Linear Systems

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Abstract

In this work we propose a direct method for solving systems of linear equations which is based on a successive LU-decomposition of matrices of the form I + uvr. Simultaneously, the factors of an LU-decomposition of the coefficient matrix are obtained. A specific choice of the “rank-one decomposition” of the given matrix leads to a variant of the Gauss elimination process. © 1987, Taylor & Francis Group, LLC. All rights reserved.

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International Journal of Computer Mathematics

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