Stability of invariant maximal semidefinite subspaces. II. applications: Self-adjoint rational matrix functions, Algebraic Riccati equations

Self-adjoint differential-algebraic equations

A class of marked invariant subspaces with an application to algebraic Riccati equations

Mathematical Subject Classifications (2000): 15A18, 47A15 15A24, 15A57.

On Solving Large Algebraic Riccati Matrix Equations

In this paper, we present a numerical method for solving large continuous-time algebraic Riccati equations. This method is based on the global FOM algorithm and we call it by global FOM-Riccati-Like (GFRL) algorithm .

Algebraic adjoint of the polynomials-polynomial matrix multiplication

This paper deals with a result concerning the algebraic dual of the linear mapping defined by the multiplication of polynomial vectors by a given polynomial matrix over a commutative field

Symmetric nonsquare factorization of selfadjoint rational matrix functions and algebraic Riccati inequalities

In this paper we shall present a parametrization of all symmetric, possibly nonsquare minimal factorizations of a positive semidefinite rational matrix function. It turns out that a pole-pair of such a nonsquare factor is the same as a pole pair for a specific square factor. The location of the zeros is then determined by a solution to a certain algebraic Riccati inequality. We shall also consi...