This thesis considers the linear-quadratic optimal control problem for differential-algebraic
systems. In this first part, a complete theoretical analysis of this problem is presented. The …

A survey of methods from numerical linear algebra for linear constant coefficient differential-
algebraic equations (DAEs) and descriptor control systems is presented. We discuss …

This chapter is concerned with distance problems for linear time-invariant differential and
differential-algebraic equations. Such problems can be formulated as distance problems for …

The periodic QZ algorithm involved in the structure-preserving skew-Hamiltonian/
Hamiltonian algorithm is investigated. These are key algorithms for many applications in …

Abstract Skew-Hamiltonian/Hamiltonian matrix pencils λS− H appear in many applications,
including linear quadratic optimal control problems, H∞-optimization, certain multi-body …

The periodic QZ (pQZ) algorithm is the key solver in many applications, including periodic
systems, cyclic matrices and matrix pencils, and solution of skew-Hamiltonian/Hamiltonian …

The periodic QZ (pQZ) algorithm is a basic tool in many applications, including periodic
systems, cyclic matrices and matrix pencils, and solution of skew-Hamiltonian/Hamiltonian …

The long standing problem is discussed of how to deflate the part associated with the
eigenvalue infinity in a structured matrix pencil using structure preserving unitary …

There is a continuous research effort worldwide to improve the reliability, efficiency, and
accuracy of numerical computations in various domains. One of the most promising research …

Badly-scaled matrix pencils could reduce the reliability and accuracy of computed results for
many numerical problems, including computation of eigenvalues and deflating subspaces …