Of course, your typical matrix in this class will not be the 1 row ones that are shown — in fact, I have not even described a system of linear equations with either of them. Each row represents one ...

In "Finite Iterative Solutions to Periodic Sylvester Equations" by Lv and Zhang consider the periodic Sylvester matrix equations (PSMEs), which take two forms: $$A_jX ...

Abstract: There are well-known fast algorithms, such as the Levinson recursion, for solving linear equations with a Toeplitz (or Hankel) coefficient matrix. This paper extends the saving obtained by ...

For systems of matrix equations of the form $$U' = A(t, U, V)V,\quad V' = - B(t, U, V)$$ it is shown here that the oscillation problem can be reduced to the ...

Abstract: In this article, a novel iterative algorithm is proposed to obtain the positive definite solutions of the discrete coupled Riccati matrix equations. In the presented algorithm, there are no ...

In this paper, the matrix Riccati equation is considered. There is no general way for solving the matrix Riccati equation despite the many fields to which it applies. While scalar Riccati equation has ...

An efficient computational algorithm is developed for solving linear matrix equations whose characteristic interaction matrix H' differs by a matrix of rank r from an interaction matrix H of a system ...

Highlights to readers that only having one matrix system may not be advisable in a practitioner's ability to avoid the production of overhangs. A disposable matrix system can provide a solution to ...