The General and Centro(Kewsy) Symmetric Solutions to a System of Matrix Equations over an Arbitrary Skew Field

Chinese Quarterly Journal of Mathematics ›› 2006, Vol. 21 ›› Issue (1): 66-70.

The General and Centro(Kewsy) Symmetric Solutions to a System of Matrix Equations over an Arbitrary Skew Field

Department of Information and Computer Science, Zhengzhou Light Industry Institute, Zhengzhou 450002, China;School of Mathematics and Information, Business Administration University of Shandong, Yantai 264005, China

Received:2004-03-14 Online:2006-03-30 Published:2023-12-21
About author:QIN Jian-guo(1957-),male,native of Tangyin,Henan,an associate professor of Zhengzhou Light Industry Institute,engages in matrix theory;SONG Guang-ai(1963-),male,native of Weifang,Shandong, an associate professor of Business Administration University of Shandong,Ph.D.,engages in Lee algebra.
Supported by:
Supported by the National Natural Science Foundation of China(10471085)；

Abstract

Abstract: Necessary and sufficient conditions are given for the existence of the general solution, the centrosymmetric solution, and the centroskewsymmetric solution to a system of linear matrix equations over an arbitrary skew field. The representations of such the solutions of the system are also derived.

Key words: system of matrix equations, inner inverse of a matrix, reflexive inverse of a
matrix, centro(skew)symmetric , matrix, skew , field

CLC Number:

O151.21

QIN Jian-guo, SONG Guang-ai . The General and Centro(Kewsy) Symmetric Solutions to a System of Matrix Equations over an Arbitrary Skew Field[J]. Chinese Quarterly Journal of Mathematics, 2006, 21(1): 66-70.

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The General and Centro(Kewsy) Symmetric Solutions to a System of Matrix Equations over an Arbitrary Skew Field

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