An efficient iterative algorithm for quaternionic least-squares problems over the generalized -(anti-)bi-Hermitian matrices.
- Resource Type
- Article
- Authors
- Ahmadi-Asl, Salman; Beik, Fatemeh Panjeh Ali
- Source
- Linear & Multilinear Algebra. Sep2017, Vol. 65 Issue 9, p1743-1769. 27p.
- Subject
- *MATRICES (Mathematics)
*ALGORITHMS
*HERMITIAN operators
*QUATERNIONS
*EQUATIONS
*LEAST squares
- Language
- ISSN
- 0308-1087
A class of quaternion matrices called generalized-(anti-)bi-Hermitian matrices is defined which incorporates the-(anti-)bi-Hermitian matrices mentioned by Yuan et al. [Linear Multilinear Algebra. 63;2015:1849–1863] as special cases. In the earlier referred work, Yuan et al. have derived explicit formulas for the least-squares-(anti-)bi-Hermitian solutions of the coupled matrix equations. In this paper, an efficient iterative algorithm is proposed to numerically find the generalized least-squares-(anti-)bi-Hermitian solutions of the coupled matrix equations The validity and efficiency of the presented algorithm is examined by some test experiments. [ABSTRACT FROM AUTHOR]