An SVD-like matrix decomposition and its applications
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Benner, P.; Byers, Ralph; Mehrmann, Volker; Xu, Hongguo (SIAM PUBLICATIONS, 2002-07-09)We discuss the numerical solution of structured generalized eigenvalue problems that arise from linear- quadratic optimal control problems, H infinity optimization, multibody systems, and many other areas of applied ...
Mehl, C.; Mehrmann, Volker; Xu, Hongguo (ELSEVIER SCIENCE INC, 2004-03-15)We discuss matrix pencils with a double symmetry structure that arise in the Hartree-Fock model in quantum chemistry. We derive anti-triangular condensed forms from which the eigenvalues can be read off. Ideally these would ...
A Study of Vandermonde-like Matrix Systems With Emphasis on Preconditioning and Krylov Matrix Connection. Saraswat, Jyoti (University of Kansas, 2009-06-11)The study focuses primarily on Vandermonde-like matrix systems. The idea is to express Vandermonde and Vandermonde-like matrix systems as the problems related to Krylov Matrices. The connection provides a different angle ...