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Riemann--Hilbert problems, matrix orthogonal polynomials and discrete matrix equations with singularity confinement
Riemann Hilbert matrix orthogonal polynomials discrete matrix equations singularity confinement
2011/7/6
In this paper matrix orthogonal polynomials in the real line are described in terms of a Riemann--Hilbert problem. This approach provides an easy derivation of discrete equations for the corresponding...
Riemann--Hilbert problems, matrix orthogonal polynomials and discrete matrix equations with singularity confinement
Riemann--Hilbert problems matrix orthogonal polynomials discrete matrix equations singularity confinement
2011/7/27
Abstract: In this paper matrix orthogonal polynomials in the real line are described in terms of a Riemann--Hilbert problem. This approach provides an easy derivation of discrete equations for the cor...
Approximate low rank solution of generalized Lyapunov matrix equations via proper orthogonal decomposition
Generalized Lyapunov matrix equations approximation theory
2010/9/20
We generalized a direct method for generalized Lyapunov matrix equation, using proper orthogonal decomposition (POD). Such equations arise in model reduction of descriptor systems.
Preconditioned global FOM and GMRES methods for solving Lyapunov matrix equations
Lyapunov matrix equations SSOR Preconditioning
2010/9/10
This paper presents, a preconditioned version of global FOM and GMRES methods for solving Lyapunov matrix equations AX + XAT = −BTB.These preconditioned methods are based on the global full orth...
Recursive solutions of the matrix equations
Computational methods Matrix equations Riccati equation
2010/9/14
Two classes of recursive algorithms for computing the extreme solutions of the matrix equations X+ATX−1A = Q and X−ATX−1A = Q are presented. The Per Step Algorithms are based on the ...
On the numerical solution of large scale Sylvester matrix equations
Sylvester matrix equations Global FOM method
2010/9/16
This paper presents equivalent forms of the Sylvester matrix equations.These equivalent forms allow us to use block linear methods for solving large Sylvester matrix equations. In each step of theses ...
For M-matrix equations, we provide a necessary and sufficient condition for that the solution of the equations has the property p, which improves and generalizes the corresponding results of [1] and [...