JSTOR Daily

The Matrix Equation AX + XB = C

A comprehensive theory of the matrix linear equation AX + XB = C is presented. The equation is viewed as a vector equation LX = C in the vector space of all m × n matrices. As the main result, two ...
JSTOR Daily

Finite Iterative Algorithms for the Generalized Reflexive and Anti-Reflexive Solutions of the Linear Matrix Equation AXB = C

Abstract. In this paper, an iterative method is presented to solve the linear matrix equation AXB = C over the generalized reflexive (or anti-reflexive) matrix X (A ∈ Rp×n; B ∈ Rm×q, C ∈ Rp×q, X ∈ ...