In this paper, we discuss numerical methods for solving large-scale continuous-time
algebraic Riccati equations. These methods have been the focus of intensive research in …

This paper introduces a new algorithm for solving large-scale continuous-time algebraic
Riccati equations (CARE). The advantage of the new algorithm is in its immediate and …

We present a class of arbitrarily high-order conservative schemes for the Klein–Gordon
Schrödinger equations. These schemes combine the symplectic Runge–Kutta method with …

The standard way of solving the polynomial eigenvalue problem associated with a matrix
polynomial is to embed the matrix coefficients of the polynomial into a matrix pencil …

We consider model order reduction for bilinear descriptor systems using an interpolatory
projection framework. Such nonlinear descriptor systems can be represented by a series of …

We start by introducing a new class of structured matrix polynomials, namely, the class of
$\mathbf {M} _A $-structured matrix polynomials, to provide a common framework for many …

For controlling an equilibrium of a nonlinear stochastic system, the problem of stabilization
and synthesis with a required dispersion is studied. This problem is solved for the case …

ABSTRACT The Bethe–Salpeter equation (BSE) is a reliable model for estimating the
absorption spectra in molecules and solids on the basis of accurate calculation of the …

In this paper, we present two alternating direction methods for the solution and best
approximate solution of the Sylvester-type matrix equation AX B+ CX⊤ D= E arising in the …

In this paper, we present some novel observations for the semidefinite linear
complementarity problems, abbreviated as SDLCPs. Based on these new results, we …