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Structure-preserving eigenvalue modification of symplectic matrices and matrix pencils
Philip Saltenberger
A famous theorem by R. Brauer shows how to modify a single eigenvalue of a matrix by a rank-one update without changing the remaining eigenvalues. A generalization of this theorem…
A rational Even-IRA algorithm for the solution of T-even polynomial eigenvalue problems
Peter Benner, Heike Fassbender, Philip Saltenberger
In this work we present a rational Krylov subspace method for solving real large-scale polynomial eigenvalue problems with T-even (that is, symmetric/skew-symmetric) structure. Our…
Structure-preserving diagonalization of matrices in indefinite inner product spaces
Philip Saltenberger
In this work some results on the structure-preserving diagonalization of selfadjoint and skewadjoint matrices in indefinite inner product spaces are presented. In particular, neces…
On skew-Hamiltonian Matrices and their Krylov-Lagrangian Subspaces
Philip Saltenberger, Michel-Niklas Senn
It is a well-known fact that the Krylov space generated by a skew-Hamiltonian matrix and some is isot…
On normal and structured matrices under unitary structure-preserving transformations
Erna Begovic, Heike Fassbender, Philip Saltenberger
Structured canonical forms under unitary and suitable structure-preserving similarity transformations for normal and (skew-)Hamiltonian as well as normal and per(skew)-Hermitian ma…
On a new kind of Ansatz Spaces for Matrix Polynomials
Heike Fassbender, Philip Saltenberger
In this paper, we introduce a new family of equations for matrix pencils that may be utilized for the construction of strong linearizations for any square or rectangluar matrix pol…