On additive decompositions of solutions of the matrix equation AXB=C

Authors:
Yongge Tian
Affiliations:
China Economics and Management Academy, Central University of Finance and Economics, Beijing, China 100081
Venue:
Calcolo: a quarterly on numerical analysis and theory of computation
Year:
2010

Citing 2
Cited 1

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Abstract

This paper considers decompositions of solutions of the linear matrix equation AXB=C into the sums of solutions of other two linear matrix equations A 1 X 1 B 1=C 1 and A 2 X 2 B 2=C 2. Some applications are also given on additive decompositions of generalized inverses, as well as decompositions of solutions of matrix equations into the sums of solutions of their small equations.