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2014 Least Squares Pure Imaginary Solution and Real Solution of the Quaternion Matrix Equation AXB+CXD=E with the Least Norm
Shi-Fang Yuan
J. Appl. Math. 2014: 1-9 (2014). DOI: 10.1155/2014/857081

Abstract

Using the Kronecker product of matrices, the Moore-Penrose generalized inverse, and the complex representation of quaternion matrices, we derive the expressions of least squares solution with the least norm, least squares pure imaginary solution with the least norm, and least squares real solution with the least norm of the quaternion matrix equation AXB+CXD=E, respectively.

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Shi-Fang Yuan. "Least Squares Pure Imaginary Solution and Real Solution of the Quaternion Matrix Equation AXB+CXD=E with the Least Norm." J. Appl. Math. 2014 1 - 9, 2014. https://doi.org/10.1155/2014/857081

Information

Published: 2014
First available in Project Euclid: 2 March 2015

MathSciNet: MR3198408
Digital Object Identifier: 10.1155/2014/857081

Rights: Copyright © 2014 Hindawi

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