Centrohermitian and Skew-Centrohermitian solutions to the minimum residual and matrix nearness problems of the quaternion matrix equation (AXB, DXE) = (C, F)

Şimşek, S.; Sarduvan, M.; Özdemir, H.

doi:10.1007/s00006-016-0688-4

Centrohermitian and Skew-Centrohermitian solutions to the minimum residual and matrix nearness problems of the quaternion matrix equation (AXB, DXE) = (C, F)

Şimşek S., Sarduvan M., Özdemir H.

Advances in Applied Clifford Algebras, cilt.27, sa.3, ss.2201-2214, 2017 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 27 Sayı: 3
Basım Tarihi: 2017
Doi Numarası: 10.1007/s00006-016-0688-4
Dergi Adı: Advances in Applied Clifford Algebras
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.2201-2214
Anahtar Kelimeler: Quaternion matrices, Matrix equation, Matrix nearness problem, The minimum residual problem, Moore-Penrose generalized inverse
Kırklareli Üniversitesi Adresli: Evet

Özet

It is established that the precise solutions on the minimum residual and matrix nearness problems of the quaternion matrix equation (AXB, DXE) = (C, F) for centrohermitian and skew-centrohermitian matrices, where X is an unknown quaternion matrix and A, B, C, D, E, and F are known quaternion matrices of suitable sizes. Moreover, an algorithm to get the solutions of the problems considered is provided, and a numerical example is also given to exemplify the results.