26 citations · 93 across the 29 of their papers we have counts for
34 papers
Recursive expansion of the matrix step function using polynomials of degree eight
Emanuel H. Rubensson, Elias Jarlebring, Gustaf Lorentzon
We consider the problem of efficiently computing the matrix step function of a large dense symmetric matrix. To this end, we introduce a recursive polynomial expansion method in wh…
Conditioning and backward errors for nonlinear eigenvalue problems with eigenvector nonlinearities
Vilhelm Peterson Lithell, Victor Janssens, Elias Jarlebring +2
We consider eigenvalue condition numbers and backward errors for a class of symmetric nonlinear eigenvalue problems with eigenvector nonlinearities. For both of these quantities, w…
Linear Systems and Eigenvalue Problems: Open Questions from a Simons Workshop
Noah Amsel, Yves Baumann, Paul Beckman +33
This document presents a series of open questions arising in matrix computations, i.e., the numerical solution of linear algebra problems. It is a result of working groups at the w…
From eigenvector nonlinearities with quadratic structure to eigenvalue nonlinearities with algebraic structure
Elias Jarlebring, Vilhelm P. Lithell
Over the past decades, transformations between different classes of eigenvalue problems have played a central role in the development of numerical methods for eigenvalue computatio…
The Polynomial Set Associated with a Fixed Number of Matrix-Matrix Multiplications
Elias Jarlebring, Gustaf Lorentzon
We consider the problem of computing matrix polynomials , where is a large dense matrix, with as few matrix-matrix multiplications as possible. More precisely, let $Π_{2^…
Computation of leaky waves in layered structures coupled to unbounded media by exploiting multiparameter eigenvalue problems
Hauke Gravenkamp, Bor Plestenjak, Daniel A. Kiefer +1
We present a semi-analytical approach to compute quasi-guided elastic wave modes in horizontally layered structures radiating into unbounded fluid or solid media. This problem is o…