Factoring matrices into the product of two matrices

被引：13
|
作者：
Huhtanen, Marko [1 ]
机构：
[1] Helsinki Univ Technol, Inst Math, FIN-02150 Espoo, Finland
来源：
BIT NUMERICAL MATHEMATICS | 2007年 / 47卷 / 04期
基金：
芬兰科学院;
关键词：
matrix factorization; inverse of a matrix subspace; product of matrix subspaces;
D O I：
10.1007/s10543-007-0151-y
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
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.
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页码：793 / 808
页数：16
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