2 citations · 6 across the 7 of their papers we have counts for
9 papers
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…
Generic canonical forms for perplectic and symplectic normal matrices
Ralph John de la Cruz, Philip Saltenberger
Let be some invertible Hermitian or skew-Hermitian matrix. A matrix is called -normal if holds for and its adjoint matrix $A^\star := B^{-1}A^…
Density of diagonalizable matrices in sets of structured matrices defined from indefinite scalar products
Ralph John de la Cruz, Philip Saltenberger
For an (indefinite) scalar product for on we show that the set of diagonalizable matrices is…
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…
On vector spaces of linearizations for matrix polynomials in orthogonal bases
Heike Faßbender, Philip Saltenberger
Matrix polynomials given in an orthogonal basis are considered. Following the ideas of Mackey et al. "Vector spaces of Linearizations for Matrix Polynomials" (2006), the vec- tor s…