66 citations · 161 across the 8 of their papers we have counts for
8 papers
Pole-swapping algorithms for alternating and palindromic eigenvalue problems
Thomas Mach, Thijs Steel, Raf Vandebril +1
Pole-swapping algorithms are generalizations of bulge-chasing algorithms for the generalized eigenvalue problem. Structure-preserving pole-swapping algorithms for the palindromic a…
On pole-swapping algorithms for the eigenvalue problem
Daan Camps, Thomas Mach, Raf Vandebril +1
Pole-swapping algorithms, which are generalizations of the QZ algorithm for the generalized eigenvalue problem, are studied. A new modular (and therefore more flexible) convergence…
Fast and backward stable computation of the eigenvalues and eigenvectors of matrix polynomials
Jared Aurentz, Thomas Mach, Leonardo Robol +2
In the last decade matrix polynomials have been investigated with the primary focus on adequate linearizations and good scaling techniques for computing their eigenvalues and eigen…
The effect of electron interactions on the universal properties of systems with optimized intrinsic off-resonant hyperpolarizability
David S. Watkins, Mark G. Kuzyk
Because of the potentially large number of important applications of nonlinear optics, researchers have expended a great deal of effort to optimize the second-order molecular nonli…
Maximizing the hyperpolarizability of one-dimensional systems
Urszula B. Szafruga, Mark G. Kuzyk, David S. Watkins
Previous studies have used numerical methods to optimize the hyperpolarizability of a one-dimensional quantum system. These studies were used to suggest properties of one-dimension…
Studies on optimizing potential energy functions for maximal intrinsic hyperpolarizability
Juefei Zhou, Urszula B. Szafruga, David S. Watkins +1
We use numerical optimization to study the properties of (1) the class of one-dimensional potential energy functions and (2) systems of point charges in two-dimensions that yield t…