On the matrix nearness problem for (skew-)symmetric matrices associated with the matrix equations (A1XB1;...;AkXBk/ =(C1;...;Ck)
Miskolc Mathematical Notes, cilt.17, sa.1, ss.635-645, 2016 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 17 Sayı: 1
- Basım Tarihi: 2016
- Doi Numarası: 10.18514/mmn.2016.1435
- Dergi Adı: Miskolc Mathematical Notes
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.635-645
- Anahtar Kelimeler: best approximate solution, Frobenius norm, matrix equations, Moore-Penrose generalized inverse, least squares solutions
- Kırklareli Üniversitesi Adresli: Evet
Özet
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.