ON THE PURE IMAGINARY QUATERNIONIC LEAST SQUARES SOLUTIONS OF MATRIX EQUATION

- Journal title : Journal of applied mathematics & informatics
- Volume 34, Issue 1_2, 2016, pp.95-106
- Publisher : The Korean Society of Computational and Applied Mathematics
- DOI : 10.14317/jami.2016.095

Title & Authors

ON THE PURE IMAGINARY QUATERNIONIC LEAST SQUARES SOLUTIONS OF MATRIX EQUATION

WANG, MINGHUI; ZHANG, JUNTAO;

WANG, MINGHUI; ZHANG, JUNTAO;

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;

Language

English

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