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chapter-1-linear-equations-in-linear-algebra.md

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 ...
Scientific Research Publishing

Matrix Riccati Equations in Optimal Control ()

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 ...
JSTOR Daily

Oscillation of Nonlinear Systems of Matrix Differential Equations

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 ...
IEEE

Efficient solution of a Toeplitz-plus-Hankel coefficient matrix system of equations

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 ...
IEEE

An Inversion-Free Iterative Algorithm for Riccati Matrix Equations in Discrete-Time Markov Jump Systems

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 ...