In the past decades, Model Order Reduction (MOR) has demonstrated its robustness and
wide applicability for simulating large-scale mathematical models in engineering and the …

Many advances in the development of Krylov subspace methods for the iterative solution of
linear systems during the last decade and a half are reviewed. These new developments …

In the nearly seven years since I finished writing the first edition of this book research on the
accuracy and stability of numerical algorithms has continued to flourish and mature. Our …

Given the square matrices A,B,D,E and the matrix C of conforming dimensions, we consider
the linear matrix equation A\mathbfXE+D\mathbfXB=C in the unknown matrix \mathbfX. Our …

In today's technological world, physical and artificial processes are mainly described by
mathematical models, which can be used for simulation or control. These processes are …

In this paper we propose a new projection method to solve large-scale continuous-time
Lyapunov matrix equations. The new approach projects the problem onto a much smaller …

We study large‐scale, continuous‐time linear time‐invariant control systems with a sparse or
structured state matrix and a relatively small number of inputs and outputs. The main …

In the present paper, we present new methods for solving nonsymmetric linear systems of
equations with multiple right-hand sides. These methods are based on global oblique and …

This paper is concerned with the numerical solution of large scale Sylvester equations AX−
XB= C, Lyapunov equations as a special case in particular included, with C having very …

The restoration of two-dimensional images in the presence of noise by Wiener's minimum
mean square error filter requires the solution of large linear systems of equations. When the …