On The Best Approximate Solutions of The Matrix Equation $AXB=C$

Details On The Best Approximate Solutions of The Matrix Equation $AXB=C$ On The Best Approximate Solutions of The Matrix Equation $AXB=C$

2011-03-21

arxiv.org/abs/1103.3945v1

Mathematics

Numerical Analysis

10 pages

Scientific paper

Suppose that the matrix equation $AXB=C$ with unknown matrix $X$ is given, where $A$, $B$, and $C$\ are known matrices of suitable sizes. The matrix nearness problem is considered over the general and least squares solutions of the matrix equation $AXB=C$ when the equation is consistent and inconsistent, respectively. The implicit form of the best approximate solutions of the problems over the set of symmetric and the set of skew-symmetric matrices are established as well. Moreover, some numerical examples are given for the problems considered.

Affiliated with

Also associated with

No associations

Rating

On The Best Approximate Solutions of The Matrix Equation $AXB=C$ does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On The Best Approximate Solutions of The Matrix Equation $AXB=C$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On The Best Approximate Solutions of The Matrix Equation $AXB=C$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-322754