Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4976082 | Journal of the Franklin Institute | 2009 | 13 Pages |
Abstract
Suppose that AXB=C is a consistent matrix equation and partition its solution X into a 2Ã2 block form. In this article we give some formulas for the maximal and minimal ranks of the submatrices in a solution X to AXB=C. From these formulas, we derive necessary and sufficient conditions for the submatrices to be zero and nonsingular, respectively. As applications, we give a group of formulas for the maximal and minimal ranks of submatrices in generalized inverses of matrices and their properties.
Related Topics
Physical Sciences and Engineering
Computer Science
Signal Processing
Authors
Yongge Tian,