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2014 Least-Squares Solutions of the Matrix Equations AXB+CYD=H and AXB+CXD=H for Symmetric Arrowhead Matrices and Associated Approximation Problems
Yongxin Yuan
J. Appl. Math. 2014: 1-7 (2014). DOI: 10.1155/2014/709356

Abstract

The least-squares solutions of the matrix equations AXB+CYD=H and AXB+CXD=H for symmetric arrowhead matrices are discussed. By using the Kronecker product and stretching function of matrices, the explicit representations of the general solution are given. Also, it is shown that the best approximation solution is unique and an explicit expression of the solution is derived.

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Yongxin Yuan. "Least-Squares Solutions of the Matrix Equations AXB+CYD=H and AXB+CXD=H for Symmetric Arrowhead Matrices and Associated Approximation Problems." J. Appl. Math. 2014 1 - 7, 2014. https://doi.org/10.1155/2014/709356

Information

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

MathSciNet: MR3230578
Digital Object Identifier: 10.1155/2014/709356

Rights: Copyright © 2014 Hindawi

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