5 papers · 1 filter
Computational graphs for matrix functions
Elias Jarlebring, Massimiliano Fasi, Emil Ringh
Many numerical methods for evaluating matrix functions can be naturally viewed as computational graphs. Rephrasing these methods as directed acyclic graphs (DAGs) is a particularly…
Linearizability of eigenvector nonlinearities
Rob Claes, Elias Jarlebring, Karl Meerbergen +1
We present a method to linearize, without approximation, a specific class of eigenvalue problems with eigenvector nonlinearities (NEPv), where the nonlinearities are expressed by s…
Infinite GMRES for parameterized linear systems
Elias Jarlebring, Siobhán Correnty
We consider linear parameter-dependent systems for many different , where is large and sparse, and depends nonlinearly on . Solving such systems individua…
Implicit algorithms for eigenvector nonlinearities
Elias Jarlebring, Parikshit Upadhyaya
We study and derive algorithms for nonlinear eigenvalue problems, where the system matrix depends on the eigenvector, or several eigenvectors (or their corresponding invariant subs…
NEP-PACK: A Julia package for nonlinear eigenproblems - v0.2
Elias Jarlebring, Max Bennedich, Giampaolo Mele +2
We present NEP-PACK a novel open-source library for the solution of nonlinear eigenvalue problems (NEPs). The package provides a framework to represent NEPs, as well as efficient i…