Least-Squares Solutions of the Matrix EquationsAXB+CYD=HandAXB+CXD=Hfor Symmetric Arrowhead Matrices and Associated Approximation Problems

Author:

Yuan Yongxin1

Affiliation:

1. School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, China

Abstract

The least-squares solutions of the matrix equationsAXB+CYD=HandAXB+CXD=Hfor 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.

Publisher

Hindawi Limited

Subject

Applied Mathematics

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Inversion and pseudoinversion of block arrowhead matrices;Applied Mathematics and Computation;2019-01

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