The discrete time Lyapunov equation is used in many applications and there is interest in its inverse and direct solutions. New methods are proposed to obtain solutions for cases where the system ...

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 ...

In this paper, the solutions of the matrix equation AX=B and its structure are discussed when matrix A is general matrix based on the conclusion of linear equations' solution and elementary ...

I am computing the solution of a linear system of equation Ax=B, where number of equations are equal to number of unknown and A and B are sparse matrices but A is a singular matrix. I've tried several ...