On the best approximate (P,Q)-orthogonal symmetric and skew-symmetric solution of the matrix equation AXB=C
Journal of Numerical Mathematics, cilt.22, sa.3, ss.255-269, 2014 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 22 Sayı: 3
- Basım Tarihi: 2014
- Doi Numarası: 10.1515/jnma-2014-0011
- Dergi Adı: Journal of Numerical Mathematics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.255-269
- Anahtar Kelimeler: best approximate solution, Frobenius norm, matrix equations, spectral decomposition, matrix nearness problem, minimum residual problem
- Kırklareli Üniversitesi Adresli: Evet
Özet
Suppose that the matrix equation AXB = C with unknown matrix X is given, where A, B, and C are known matrices of suitable size. The matrix nearness problem is considered over the (P,Q)-orthogonal symmetric and (P,Q)-orthogonal skew-symmetric solutions of the matrix equation AXB=C. The explicit forms of the best approximate solutions of the problems considered are established. Moreover, two numerical examples and a comparative table, depending on the examples chosen from literature, are given.