1 citations · 2 across the 5 of their papers we have counts for
5 papers
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…
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…
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…
Computing delay Lyapunov matrices and H2 norms for large-scale problems
Wim Michiels, Bin Zhou
A delay Lyapunov matrix corresponding to an exponentially stable system of linear time-invariant delay differential equations can be characterized as the solution of a boundary val…
Computing a partial Schur factorization of nonlinear eigenvalue problems using the infinite Arnoldi method
Elias Jarlebring, Karl Meerbergen, Wim Michiels
The partial Schur factorization can be used to represent several eigenpairs of a matrix in a numerically robust way. Different adaptions of the Arnoldi method are often used to com…