3 papers
math.NA2026
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…
math.NA2026
Computing and Optimizing the -norm of Delay Differential Algebraic Systems
Evert Provoost, Wim Michiels
We present a Lanczos tau method for the approximation and optimization of the -norm of time-delay systems described by semi-explicit delay differential algebraic equations. Th…
math.NA2025
Linearizing a nonlinear eigenvalue problem with quadratic rational eigenvector nonlinearities
Victor Janssens, Karl Meerbergen, Wim Michiels
Nonlinear eigenvalue problems with eigenvector nonlinearities (NEPv) are algebraic eigenvalue problems whose matrix depends on the eigenvector. Applications range from computationa…