Algebra can be demystified with the right approach. Transforming word problems into mathematical expressions is crucial, ...

Abstract: The results in [1] and [2] for the matrix Lyapunov equation are extended to the case of an algebraic matrix Riccati equation. Some errors in [1] and [2] are pointed out by a counter example.

This collection of Julia functions is an attemp to implement high performance numerical software to solve several classes of Lyapunov, Sylvester and Riccati matrix equations at a performance level ...

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 ...