81 citations · 234 across the 14 of their papers we have counts for
7 papers · 1 filter
On the rational approximation of Markov functions,with applications to the computation of Markovfunctions of Toeplitz matrices
Bernhard Beckermann, Joanna Bisch, Robert Luce
We investigate the problem of approximating the matrix function by , with a Markov function, a rational interpolant of , and a symmetric Toeplitz matrix…
Using incomplete indefinite preconditioning for inexact interior point methods for linear programming
Robert Luce
Most linear algebra kernels in interior point methods for linear programming require the solution of linear systems of equation with the matrix (or ),…
Fast computation of the matrix exponential for a Toeplitz matrix
Daniel Kressner, Robert Luce
The computation of the matrix exponential is a ubiquitous operation in numerical mathematics, and for a general, unstructured matrix it can be computed in $\mathcal{O}(…
Using separable non-negative matrix factorization techniques for the analysis of time-resolved Raman spectra
Robert Luce, Peter Hildebrandt, Uwe Kuhlmann +1
The key challenge of time-resolved Raman spectroscopy is the identification of the constituent species and the analysis of the kinetics of the underlying reaction network. In this…
Finite element formulation of general boundary conditions for incompressible flows
Roland Becker, Daniela Capatina, Robert Luce +1
We study the finite element formulation of general boundary conditions for incompressible flow problems. Distinguishing between the contributions from the inviscid and viscid parts…
Fast Recovery and Approximation of Hidden Cauchy Structure
Jörg Liesen, Robert Luce
We derive an algorithm of optimal complexity which determines whether a given matrix is a Cauchy matrix, and which exactly recovers the Cauchy points defining a Cauchy matrix from…
On the minimum FLOPs problem in the sparse Cholesky factorization
Robert Luce, Esmond Ng
Prior to computing the Cholesky factorization of a sparse, symmetric positive definite matrix, a reordering of the rows and columns is computed so as to reduce both the number of f…