[КНИГА][B] Lecture notes in computational science and engineering

TJ Barth, M Griebel, DE Keyes, RM Nieminen, D Roose… - 2005 - Springer
The FEniCS Project set out in 2003 with an idea to automate the solution of mathematical
models based on differential equations. Initially, the FEniCS Project consisted of two …

[КНИГА][B] Numerical solution of algebraic Riccati equations

DA Bini, B Iannazzo, B Meini - 2011 - SIAM
This monograph aims to provide a concise and comprehensive treatment of the basic theory
of algebraic Riccati equations and a description of both the classical and the more advanced …

[КНИГА][B] The Matrix Eigenvalue Problem: GR and Krylov Subspace Methods

DS Watkins - 2007 - SIAM
Eigenvalue problems are ubiquitous in engineering and science. This book presents a
unified theoretical development of the two most important classes of algorithms for solving …

[КНИГА][B] Time-varying systems and computations

P Dewilde, AJ Van der Veen - 1998 - books.google.com
Complex function theory and linear algebra provide much of the basic mathematics needed
by engineers engaged in numerical computations, signal processing or control. The transfer …

Computational methods for periodic systems-an overview

A Varga, P Van Dooren - IFAC Proceedings Volumes, 2001 - Elsevier
Computational Methods for Periodic Systems - An Overview Page 1 Copyright @ IFAC Periodic
Control Systems, Cemobbio-Como, Italy, 2001 COMPUTATIONAL METHODS FOR PERIODIC …

Numerical solution of the discrete-time periodic Riccati equation

JJ Hench, AJ Laub - IEEE transactions on automatic control, 1994 - ieeexplore.ieee.org
In this paper we present a method for the computation of the periodic nonnegative definite
stabilizing solution of the periodic Riccati equation. This method simultaneously …

The Multishift QR Algorithm. Part I: Maintaining Well-Focused Shifts and Level 3 Performance

K Braman, R Byers, R Mathias - SIAM Journal on Matrix Analysis and …, 2002 - SIAM
This paper presents a small-bulge multishift variation of the multishift QR algorithm that
avoids the phenomenon of shift blurring, which retards convergence and limits the number …

A numerically stable, structure preserving method for computing the eigenvalues of real Hamiltonian or symplectic pencils

P Benner, V Mehrmann, H Xu - Numerische Mathematik, 1998 - Springer
A new method is presented for the numerical computation of the generalized eigenvalues of
real Hamiltonian or symplectic pencils and matrices. The method is numerically backward …

A parametric periodic Lyapunov equation with application in semi-global stabilization of discrete-time periodic systems subject to actuator saturation

B Zhou, GR Duan, Z Lin - Automatica, 2011 - Elsevier
This paper is concerned with semi-global stabilization of discrete-time linear periodic
systems subject to actuator saturation. Provided that the open loop characteristic multipliers …

On the multiple shooting continuation of periodic orbits by Newton–Krylov methods

J Sánchez, M Net - International Journal of Bifurcation and Chaos, 2010 - World Scientific
The application of the multiple shooting method to the continuation of periodic orbits in large-
scale dissipative systems is analyzed. A preconditioner for the linear systems which appear …