An efficient iterative algorithm for quaternionic least-squares problems over the generalized -(anti-)bi-Hermitian matrices
Salman Ahmadi‐Asl, Fatemeh Panjeh Ali Beik · Linear and Multilinear Algebra · 2016
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 equationsThe validity and efficiency of the presented algorithm is examined by some test experiments.