Many authors considered these matrix equations. For example, Mitra [2,3], Chu [4] discussed its unconstraint solutions with the generalized inverse of matrix and the singular value decomposition (SVD) ...

as $\mathbf{A}^{-1} \mathbf{A} = \mathbf{I}$ and multiplying any matrix by the identity matrix leaves it unaltered. It is important that both sides of the equation are multiplied on the left by ...

Several available methods, known in literatures, are available for solving nth order differential equations and their complexities differ based on the accuracy of the solution. A successful method, ...

A python implementation for solving the forward and backward Periodic Sylvester Matrix Equations iteratively. ... We also show that the forward and backward PSMEs are equivalent via a numerical ...

A simple algorithm for solving a set of nonlinear equations by matrix algebra has been discovered recently — first by transforming them into an equivalent matrix equation and then finding the solution ...

Thus an algorithm to solve the uncertain second-order matrix equation is presented. A numerical example and its simulation analysis show the effectiveness and robustness of the proposed algorithm. ...

The con-Yakubovich matrix equation X - AX̅F = BY is investigated in this paper. An explicit general solution of this equation is given by a finite sum. In addition, the solution can be equivalently ...

Solving matrix equations such as a linear system or an eigenvector equation is accomplished by matrix factorizations or iterative ... since the link matrix is a stochastic matrix . Fig. 3C shows an ...