Results 331 to 340 of about 808,768 (351)

Error and Perturbation Bounds for Subspaces Associated with Certain Eigenvalue Problems

, 1973
This paper describes a technique for obtaining error bounds for certain characteristic subspaces associated with the algebraic eigenvalue problem, the generalized eigenvalue problem, and the singular value decomposition.
G. Stewart
semanticscholar   +1 more source

On the Eigenvalues of a Perturbed Harmonic Oscillator [PDF]

, 1991
We study Schrodinger operators on Rn of the form $$H = {H_v} = - \Delta + q(x) + V(x) $$ where q(x) is a positive definite quadratic form and V(x) a potential which may be considered as a perturbation. We show that the discrete spectrum of H has similar properties as that of the unperturbed H0 = -∆+q.
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Eigenvalue reanalysis by improved perturbation

International Journal for Numerical Methods in Engineering, 1988
AbstractA new efficient method of eigenvalue reanalysis has been developed based on the perturbation method such that first the differential equations which describe the change of the eigenvalues and eigenvectors of a system being modified are derived from the perturbation method and then the solutions of these equations are obtained by following them ...
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A Perturbation-Variation Calculation of Eigenvalues

Proceedings of the Physical Society, 1961
A variational method, based upon perturbation theory, is used to calculate the eigenvalues of the helium sequence. With a trial wave function containing essentially only one variable parameter, the resulting errors range from 0.3 ev for H- to 0.01 ev for Ne8+.
A L Stewart, A Dalgarno
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Singularly Perturbed Eigenvalue Problems

SIAM Journal on Applied Mathematics, 1987
This paper is concerned with eigenvalue problems of singularly perturbed linear ordinary differential equations. A common way to treat such problems is to derive an approximating eigenvalue problem by the use of matched asymptotic expansions.It is shown that under appropriate assumptions a domain in the complex plane can be identified, in which the ...
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Stability Analysis of Polynomially Dependent Systems by Eigenvalue Perturbation

IEEE Transactions on Automatic Control, 2017
Jie Chen, Peilin Fu, C. Méndez‐Barrios, S. Niculescu, Hongwei Zhang   +4 more
semanticscholar   +1 more source

Overcoming the FDTD stability limit via model order reduction and eigenvalue perturbation

Intelligent Memory Systems, 2014
Xihao Li, C. Sarris, P. Triverio
semanticscholar   +1 more source

Eigenvalue perturbation theory of structured real matrices and their sign characteristics under generic structured rank-one perturbations

, 2016
C. Mehl, V. Mehrmann, A. Ran, L. Rodman
semanticscholar   +1 more source

On perturbation of a multiple eigenvalue

Russian Mathematical Surveys, 2005
V. A. Titov, S. A. Stepin
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Eigenvalue perturbation theory of symplectic, orthogonal, and unitary matrices under generic structured rank one perturbations

, 2014
C. Mehl, V. Mehrmann, A. Ran, L. Rodman
semanticscholar   +1 more source