Factoring matrices into the product of two matrices |
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Authors: | Marko Huhtanen |
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Affiliation: | (1) Institute of Mathematics, Helsinki University of Technology, Box 1100, Helsinki, FIN-02015, Finland |
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Abstract: | Linear algebra of factoring a matrix into the product of two matrices with special properties is developed. This is accomplished in terms of the so-called inverse of a matrix subspace which yields an extended notion for the invertibility of a matrix. The product of two matrix subspaces gives rise to a natural generalization of the concept of matrix subspace. Extensions of these ideas are outlined. Several examples on factoring are presented. AMS subject classification (2000) 15A23, 65F30 |
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Keywords: | matrix factorization inverse of a matrix subspace product of matrix subspaces |
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