[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14317/jami.2016.095

ON THE PURE IMAGINARY QUATERNIONIC LEAST SQUARES SOLUTIONS OF MATRIX EQUATION

WANG, MINGHUI (Department of Mathematics, Qingdao University of Science and Technology)
ZHANG, JUNTAO (Department of Mathematics, Qingdao University of Science and Technology)

Publication Information

Journal of applied mathematics & informatics / v.34, no.1_2, 2016 , pp. 95-106 More about this Journal

Abstract

In this paper, according to the classical LSQR algorithm forsolving 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.

Keywords

Quaternion matrix; least squares problem; Algo-rithm LSQR; iterative method;

Citations & Related Records

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