Zobrazeno 1 - 10
of 64
pro vyhledávání: '"Heike Fassbender"'
Autor:
Heike Faßbender, Peter Benner
Publikováno v:
EURASIP Journal on Advances in Signal Processing, Vol 2007 (2007)
We study numerical methods for finding the maximal symmetric positive definite solution of the nonlinear matrix equation X=Q+LX−1LT, where Q is symmetric positive definite and L is nonsingular. Such equations arise for instance in the analysis of s
Externí odkaz:
https://doaj.org/article/f8d7c5a809604b03998c6ad1a716b522
Autor:
Heike Faßbender, Christian Bertram
Publikováno v:
Linear Algebra and its Applications. 622:66-103
This paper introduces a novel framework for the solution of (large-scale) Lyapunov and Sylvester equations derived from numerical integration methods. Suitable systems of ordinary differential equations are introduced. Low rank approximations of thei
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c700e83c898d6aea2842a1b239fcba89
https://doi.org/10.1016/j.laa.2021.03.029
https://doi.org/10.1016/j.laa.2021.03.029
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:
Heike Faßbender, Tobias Damm
Publikováno v:
SIAM Journal on Matrix Analysis and Applications. 41:637-656
We consider orthogonal transformations of arbitrary square matrices to a form where all diagonal entries are equal. In our main results we treat the simultaneous transformation of two matrices and the symplectic orthogonal transformation of one matri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d2bfd846a73d67391dcc9d8f5bc6b917
https://doi.org/10.1137/19m1294265
https://doi.org/10.1137/19m1294265
Publikováno v:
INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2020.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d7d9ebd9af1f0ee4188639cf59617cdb
https://doi.org/10.1063/5.0081513
https://doi.org/10.1063/5.0081513
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:
Christian Bertram, Heike Faßbender
Publikováno v:
Model Reduction of Complex Dynamical Systems ISBN: 9783030729820
We analyze a family of Runge-Kutta-based quadrature algorithms for the approximation of the Gramians of linear time-invariant dynamical systems. The approximated Gramians are used to obtain an approximate balancing transformation similar to the appro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5156c890d46b3f99b2ea8015e32cdc5e
https://doi.org/10.1007/978-3-030-72983-7_6
https://doi.org/10.1007/978-3-030-72983-7_6
In this paper we analyze the nearly optimal block diagonal scalings of the rows of one factor and the columns of the other factor in the triangular form of the SR decomposition. The result is a block generalization of the result of the van der Sluis
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::84d08136032d3f3791b9ef9b2583a6fa
http://arxiv.org/abs/2004.03288
http://arxiv.org/abs/2004.03288
Autor:
Heike Faßbender, Martin Halwaß
Publikováno v:
Special Matrices, Vol 8, Iss 1, Pp 1-13 (2020)
The singular values σ > 1 of an n × n involutory matrix A appear in pairs (σ, {1 \over \sigma }). Their left and right singular vectors are closely connected. The case of singular values σ = 1 is discussed in detail. These singular values may app
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5ac6ef4f20dac1d40031838634bde649
http://publikationsserver.tu-braunschweig.de/get/00068737
http://publikationsserver.tu-braunschweig.de/get/00068737
Autor:
Saoirse R, Tracy, Kerstin A, Nagel, Johannes A, Postma, Heike, Fassbender, Anton, Wasson, Michelle, Watt
Publikováno v:
Trends in plant science 25(1), 105-118 (2020). doi:10.1016/j.tplants.2019.10.015
Root systems determine the water and nutrients for photosynthesis and harvested products, underpinning agricultural productivity. We highlight 11 programs that integrated root traits into germplasm for breeding, relying on phenotyping. Progress was s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=pmid_dedup__::2119991c1e91775ceff94d2139b9fce2
https://juser.fz-juelich.de/record/867462
https://juser.fz-juelich.de/record/867462