A system of matrix equations and a linear matrix equation over arbitrary regular rings with identity

By Qingwen Wang. 2004

160 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/8213d74db874a06323f507d62de46d3a0a0b4496

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In Algebra and Number Theory

In Applied Mathematics

In Computational Theory and Mathematics

Citations in the corpus

The general coupled matrix equations over generalized bisymmetric matrices (2010, background): “In the literature, the problem for determining a solution to several linearmatrix equations has been widely studied [10,14,22–24,27–30,33,35,43,44].”
A system of real quaternion matrix equations with applications (2009, background): “The approach and the results can also be generalized to any regular ring with identity by [40].”
A System of Four Matrix Equations over von Neumann Regular Rings and Its Applications (2005, background): “(1) The matrix A = (aij) ∈ Rn×n is called selfconjugate if A = A∗.”
On solutions to the quaternion matrix equation AXB+CYD=E (2008, background): “Wang [20]−[ 21 ] investigated (1.4) over an arbitrary division ring and on any regular ring with identity in 1996 and 2004, respectively.”
The general solutions to some systems of matrix equations (2015, background): “In 2004, Wang [22] provided some necessary and sufficient conditions for the consistence to (1.”
On the generalized bisymmetric and skew-symmetric solutions of the system of generalized Sylvester matrix equations (2011, background): “In [30], Wang considered the system of matrix equations A1XB1 1⁄4 C1, A2XB2 1⁄4 C2, over an arbitrary regular ring with identity and derived the necessary and sufficient conditions for the existence and the expressions of the general solutions to this system.”
Ranks and the least-norm of the general solution to a system of quaternion matrix equations (2009, unknown): “3 in [18]).”