Zobrazeno 1 - 10
of 10
pro vyhledávání: '"Philip Saltenberger"'
Publikováno v:
Linear Algebra and its Applications. 620:201-227
Let B = J 2 n or B = R n for the matrices given by J 2 n = [ I n − I n ] ∈ M 2 n ( C ) or R n = [ 1 ⋰ 1 ] ∈ M n ( C ) . A matrix A is called B-normal if A A ⋆ = A ⋆ A holds for A and its adjoint matrix A ⋆ : = B − 1 A H B . In additio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fd2ad665d6bd623805a107b8f56fa30b
https://doi.org/10.1016/j.laa.2021.03.003
https://doi.org/10.1016/j.laa.2021.03.003
Publikováno v:
The Electronic Journal of Linear Algebra. 37:387-401
For an indefinite scalar product $[x,y]_B = x^HBy$ for $B= \pm B^H \in \mathbf{Gl}_n(\mathbb{C})$ on $\mathbb{C}^n \times \mathbb{C}^n$, it is shown that the set of diagonalizable matrices is dense in the set of all $B$-normal matrices. The analogous
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::47a1da43de53940d52ec7973a1a5f08f
https://doi.org/10.13001/ela.2021.5509
https://doi.org/10.13001/ela.2021.5509
Publikováno v:
Linear Algebra and its Applications. 608:322-342
Structured canonical forms under unitary and suitable structure-preserving similarity transformations for normal and (skew-)Hamiltonian as well as normal and per(skew)-Hermitian matrices are proposed. Moreover, an algorithm for computing those canoni
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::04f9db02350a947713806c7cdce30546
https://doi.org/10.1016/j.laa.2020.09.019
https://doi.org/10.1016/j.laa.2020.09.019
Autor:
Philip Saltenberger
Publikováno v:
The Electronic Journal of Linear Algebra. 36:21-37
In this work some results on the structure-preserving diagonalization of selfadjoint and skewadjoint matrices in indefinite inner product spaces are presented. In particular, necessary and sufficient conditions on the symplectic diagonalizability of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cba1fa50d3644d08cfc52f3097282044
https://doi.org/10.13001/ela.2020.5071
https://doi.org/10.13001/ela.2020.5071
Publikováno v:
SIAM Journal on Matrix Analysis and Applications
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 method is based on the Even-IRA algorithm. To preserve the structure,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::def764e0f6040d1fc6d631886bf359b8
https://hdl.handle.net/21.11116/0000-0006-F40E-821.11116/0000-0008-FAA7-221.11116/0000-0006-F40C-A
https://hdl.handle.net/21.11116/0000-0006-F40E-821.11116/0000-0008-FAA7-221.11116/0000-0006-F40C-A
Autor:
Philip Saltenberger, Heike Faßbender
Publikováno v:
Linear Algebra and its Applications. 542:118-148
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 rectangular matrix polynomial. We provide a comprehensive characterization of the resulting
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b2b7225f7ab44ded17e2512ec0dede7c
https://doi.org/10.1016/j.laa.2017.03.019
https://doi.org/10.1016/j.laa.2017.03.019
Autor:
Heike Faßbender, Philip Saltenberger
Publikováno v:
Linear Algebra and its Applications. 525:59-83
Regular and singular matrix polynomials P ( λ ) = ∑ i = 0 k P i ϕ i ( λ ) , P i ∈ R n × n given in an orthogonal basis ϕ 0 ( λ ) , ϕ 1 ( λ ) , … , ϕ k ( λ ) are considered. Following the ideas in [9] , the vector spaces, called M 1 (
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0b8e175fa0979bdd6641d61da163b2b3
https://doi.org/10.1016/j.laa.2017.03.017
https://doi.org/10.1016/j.laa.2017.03.017
It is a well-known fact that the Krylov space $\mathcal{K}_j(H,x)$ generated by a skew-Hamiltonian matrix $H \in \mathbb{R}^{2n \times 2n}$ and some $x \in \mathbb{R}^{2n}$ is isotropic for any $j \in \mathbb{N}$. For any given isotropic subspace $\m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5b7a3d50133075e10a14a2855305d6bf
Autor:
Philip Saltenberger
In this thesis, a novel framework for the construction and analysis of strong linearizations for matrix polynomials is presented. Strong linearizations provide the standard means to transform polynomial eigenvalue problems into equivalent generalized
Autor:
Philip Saltenberger, Heike Faßbender
Publikováno v:
PAMM. 18
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8d64740c5bf4047ffc5e075409863ed3
https://doi.org/10.1002/pamm.201800006
https://doi.org/10.1002/pamm.201800006