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Research articles

ScienceAsia 49 (2023): 361-368 |doi: 10.2306/scienceasia1513-1874.2023.001

The WG inverse and its application in a constrained matrix approximation problem

Hongxing Wang*, Ju Gao, Xiaoji Liu

ABSTRACT:     We study the application of WG inverse to a constrained matrix approximation problem to deduce the unique solution of the problem, and get characterizations of WG inverse by applying matrix decompositions. Moreover, we get one Gauss-Jordan elimination method for the WG inverse.

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a School of Mathematics and Physics, Guangxi Key Laboratory of Hybrid Computation and IC Design Analysis, Guangxi Minzu University, Nanning 530006 China

* Corresponding author, E-mail: winghongxing0902@163.com

Received 12 May 2022, Accepted 27 Sep 2022