Diagonal Scaling of Ill-Conditioned Matrixes by Genetic Algorithm

Author:

Vajargah Behrouz,Moradi Mojtaba

Abstract

Diagonal Scaling of Ill-Conditioned Matrixes by Genetic AlgorithmThe purpose of this article is to use genetic algorithm for finding two invertible diagonal matricesD1andD2such that the scaled matrixD1AD2approaches to minimum condition number.

Publisher

Walter de Gruyter GmbH

Subject

General Medicine

Reference16 articles.

1. Optimally scaled matrices;F. BAUER;Numerische Mathematik,1963

2. Remarks on optimally scaled matrices;F. BAUER;Numerische Mathematik,1969

3. Minimizing the Euclidean Condition Number;D. Braatz;SIAM Journal on Control and Optimization,1994

4. Matrices Which Can Be Optimally Scaled;P. Businger;Numerische Mathematik,1968

5. An Approximate Equation for the Condition Numbers of Well-scaled Matrices;Chin-Chieh Chiang

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