W-MPCEP–N-CEPMP-solutions to quaternion matrix equations with constrains

Ivan I. Kyrchei,Dijana Mosić,Predrag S. Stanimirović

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS（2023）

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摘要

The main goal of this paper is to solve new quaternion matrix equations with constrains and present their solution. It is proved that these solutions are expressions that involve adequate weighted generalized inverses. We consider generalized Cramer’s-type representations for derived solutions to new quaternion matrix equations under specified restrictions. The derived results are illustrated by numerical example.

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关键词

Weighted MPCEP inverse, Weighted core-EP inverse, Restricted quaternion matrix equations, Determinantal representation

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