An efficient iterative algorithm for quaternionic least-squares problems over the generalized -(anti-)bi-Hermitian matrices

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 f...

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Bibliographic Details
Published in:Linear & multilinear algebra 2017-09, Vol.65 (9), p.1743-1769
Main Authors: Ahmadi-Asl, Salman, Beik, Fatemeh Panjeh Ali
Format: Article
Language:English
Subjects:
(anti-)bi-Hermitian
Algorithms
convergence
Formulas (mathematics)
generalized
iterative algorithm
Iterative algorithms
Iterative methods
Least squares
least-squares solution
Matrix methods
Primary: 15A24
Secondary: 15B33
65F10
Quaternion matrix equations
Quaternions
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Summary: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.
ISSN:0308-1087
1563-5139
DOI:10.1080/03081087.2016.1255172