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 …

This textbook offers theoretical, algorithmic and computational guidelines for solving the
most frequently encountered linear-quadratic optimization problems. It provides an overview …

We present a Newton-like method for solving algebraic Riccati equations that uses an exact
line search to improve the sometimes erratic convergence behavior of Newton's method. It …

When Newton's method is applied to find the maximal symmetric solution of an algebraic
Riccati equation, convergence can be guaranteed under moderate conditions. In particular …

An exact line search method has been introduced by Benner and Byers [IEEE Trans.
Automat. Control, 43 (1998), pp. 101--107] for solving continuous algebraic Riccati …

When Newton's method is applied to find the maximal symmetric solution of a discrete
algebraic Riccati equation (DARE), convergence can be guaranteed under moderate …

For the solution of the single-input pole placement problem we derive explicit expressions
for the feedback gain matrix as well as the eigenvector matrix of the closed-loop system …

We investigate the numerical solution of continuous-time algebraic Riccati equations via
Newton's method on serial and parallel computers with distributed memory. We apply and …

We study classical control problems like pole assignment, stabilization, linear quadratic
control and H∞ control from a numerical analysis point of view. We present several …

We discuss numerical methods for the stabilization of large linear multi—input control
systems of the form a} 2 Ad:—|—Bu via a feedback of the form u: Fan. The method discussed …