We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
ON THE MATRIX NEARNESS PROBLEM FOR (SKEW-)SYMMETRIC MATRICES ASSOCIATED WITH THE MATRIX EQUATIONS (A<sub>1</sub>XB<sub>1</sub>,...,A<sub>k</sub>XB<sub>k</sub>) = (C<sub>1</sub>,...,C<sub>k</sub>).
- Authors
ṢİMṢEK, S.; SARDUVAN, M.; ÖZDEMİR, H.
- Abstract
Suppose that the matrix equations system (A1XB1,...,AkXBk) = (C1,...,Ck) with unknown matrix X is given, where Ai, Bi, and Ci, i =1,2,...,k, are known matrices of suitable sizes. The matrix nearness problem is considered over the general and least squares solutions of this system. The explicit forms of the best approximate solutions of the problems over the sets of symmetric and skew-symmetric matrices are established as well. Moreover, a comparative table depending on some numerical examples in the literature is given.
- Subjects
SYMMETRIC matrices; LEAST squares; APPROXIMATE solutions (Logic); FROBENIUS algebras; KRONECKER products
- Publication
Miskolc Mathematical Notes, 2016, Vol 17, Issue 1, p635
- ISSN
1787-2405
- Publication type
Article
- DOI
10.18514/MMN.2016.1435