Key Words:Quaternion matrix; least squares problem; Algorithm LSQR; iterative method
Abstract:In this paper, according to the classical LSQR algorithm for solving least squares (LS) problem, an iterative method is proposed for finding the minimum-norm pure imaginary solution of the quaternionic least squares (QLS) problem. By means of real representation of quaternion matrix, the QLS's correspongding vector algorithm is rewrited back to the matrix-form algorthm without Kronecker product and long vectors. Finally, numerical examples are reported that show the favorable numerical properties of the method.
Volume:34
Issue:1-2
Translation or Not:no