Zobrazeno 1 - 10
of 131
pro vyhledávání: '"Truhar, Ninoslav"'
This paper establishes a variant of Stewart's theorem (Theorem~6.4 of Stewart, {\em SIAM Rev.}, 15:727--764, 1973) for the singular subspaces associated with the SVD of a matrix subject to perturbations. Stewart's original version uses both the Frobe
Externí odkaz:
http://arxiv.org/abs/2406.06901
We consider new performance measures for vibrational systems based on the $H_2$ norm of linear time invariant systems. New measures will be used as an optimization criterion for the optimal damping of vibrational systems. We consider both theoretical
Externí odkaz:
http://arxiv.org/abs/1906.00503
Publikováno v:
In Mechanical Systems and Signal Processing 1 February 2023 184
Autor:
Truhar, Ninoslav, Li, Ren-Cang
Publikováno v:
In Journal of Computational and Applied Mathematics 15 October 2021 395
Publikováno v:
Linear Algebra and its Applications, Volume 618, Pages 97-128, 2021
In this paper, we derive new relative perturbation bounds for eigenvectors and eigenvalues for regular quadratic eigenvalue problems of the form $\lambda^2 M x + \lambda C x + K x = 0$, where $M$ and $K$ are nonsingular Hermitian matrices and $C$ is
Externí odkaz:
http://arxiv.org/abs/1602.03420
Publikováno v:
In Linear Algebra and Its Applications 1 June 2021 618:97-128
A note on an upper and a lower bound on sines between eigenspaces for regular Hermitian matrix pairs
Autor:
Truhar, Ninoslav
Publikováno v:
In Journal of Computational and Applied Mathematics 1 October 2019 358:374-384
We revisit the relative perturbation theory for invariant subspaces of positive definite matrix pairs. As a prototype model problem for our results we consider parameter dependent families of eigenvalue problems. We show that new estimates are a natu
Externí odkaz:
http://arxiv.org/abs/1011.4424
We consider the distance from a (square or rectangular) matrix pencil to the nearest matrix pencil in 2-norm that has a set of specified eigenvalues. We derive a singular value optimization characterization for this problem and illustrate its usefuln
Externí odkaz:
http://arxiv.org/abs/1009.2222
Autor:
Truhar, Ninoslav1 (AUTHOR) ntruhar@mathos.hr, Petrač, Maja2 (AUTHOR) maja.petrac@fazos.hr
Publikováno v:
Mathematics (2227-7390). Jun2022, Vol. 10 Issue 11, p1854-1854. 21p.