1 citations · 1 across the 1 of their papers we have counts for
6 papers
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 ),…
The index of singular zeros of harmonic mappings of anti-analytic degree one
Robert Luce, Olivier Sète
We study harmonic mappings of the form , where is an analytic function. In particular we are interested in the index (a generalized multiplicity) of…
A Fast Gradient Method for Nonnegative Sparse Regression with Self Dictionary
Nicolas Gillis, Robert Luce
A nonnegative matrix factorization (NMF) can be computed efficiently under the separability assumption, which asserts that all the columns of the given input data matrix belong to…
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…