Results 251 to 260 of about 473,597 (273)

Eigenvalues and troposcatter multipath analysis

IEEE Journal on Selected Areas in Communications, 1992
Performance predictions for troposcatter channels with multipath are developed using the eigenvalues in the Karhunen-Loeve representation of the tropo signal. Flat Rayleigh fading predictions, in the presence of jamming, are easily extended to multipath channels with this technique. >
openaire   +1 more source

Helmholtz Eigenvalue Analysis By Boundary Element Method

Journal of Sound and Vibration, 1993
Abstract A new and robust scheme for the eigenvalue analysis of the Helmholtz differential equation by the boundary element method (BEM) is developed in this paper. Unlike the existing methods in which a highly complicated transcendental equation including the unknown wavenumbers appears, the present method can reduce the computational task greatly ...
Kamiya, N., Andoh, E.
openaire   +2 more sources

Convergence Analysis of Newton-Like Methods for Inverse Eigenvalue Problems with Multiple Eigenvalues

SIAM Journal on Numerical Analysis, 2016
Summary: We provide in the present paper a corrected proof for the classical quadratical convergence theorem (i.e., Theorem 3.3 in [\textit{S. Friedland} et al., SIAM J. Numer. Anal. 24, 634--667 (1987; Zbl 0622.65030)]) of the Newton-like method for solving inverse eigenvalue problems with possible multiple eigenvalues.
Shen, WeiPing, Li, Chong, Yao, Jen-Chih
openaire   +1 more source

Sensitivity Analysis of Multiple Eigenvalues*

Mechanics of Structures and Machines, 1993
ABSTRACT This paper is devoted to sensitivity analysis of eigenvalues of nonsym-metric operators that depend on parameters. Special attention is given to the case of multiple eigenvalues. Due to the nondifferentiability (in the common sense) of multiple roots, directional derivatives of eigenvalues and eigenvectors in parametric space are obtained ...
openaire   +1 more source

Eigenvalue and eigenvector sensitivity and approximate analysis for repeated eigenvalue problems

32nd Structures, Structural Dynamics, and Materials Conference, 1991
A set of computationally efficient equations for eigenvalue and eigenvector sensitivity analysis are derived, and a method for eigenvalue and eigenvector approximate analysis in the presence of repeated eigenvalues is presented. The method developed for approximate analysis involves a reparamaterization of the multivariable structural eigenvalue ...
GENE HOU, SEAN KENNY
openaire   +1 more source

Eigenvalue analysis for acoustic multi-ports

The Journal of the Acoustical Society of America, 2017
Acoustic multi-ports are commonly used to describe the scattering (the transmission and reflection) and the source of aero-acoustic components in duct and pipe systems. The components are therefore modeled as “black-boxes,” assuming linear and time invariant systems. Using linear network theory, two components can be combined to a cascade for which the
Stefan Sack, Mats Åbom
openaire   +1 more source

Methods for the Eigenvalue Analysis

1997
In addition to the matrix-iteration method discussed in Chapter 3, there are several other computer methods that are widely used for solving the eigenvalue problem of vibration systems. Among these methods are the Jacobi method and the QR method. In these methods, which are based on the similarity transformation, a series of transformations that ...
openaire   +1 more source

Sensitivity analysis of semi-simple eigenvalues of regular quadratic eigenvalue problems

Acta Mathematicae Applicatae Sinica, English Series, 2015
Consider the following quadratic eigenvalue problem: \[ [\lambda^2(p)M(p)+\lambda(p)C(p)+K(p)]u(p)=0, \;\;\lambda(p)\in \mathbb{C}, \;u(p)\in \mathbb{C}^n, \;p\in \mathcal{N}(p^*), \] where \(\mathcal{N}(p^*)\) is a neighborhood of \(p^*\in \mathbb{C}^n\), and \(M(p), C(p), K(p)\in \mathbb{C}^{n\times n}\) are analytic matrix-valued functions on ...
openaire   +2 more sources

EIGENVALUE ANALYSIS – ASYMPTOTIC STABILITY

2021
openaire   +1 more source

Sensitivity analysis of multiple eigenvalues. II

This paper is devoted to the study of the finite dimensional non- analytical eigenvalue problem: \(A(p)x(p)=\lambda (p)x(p),\) where A(p) is a complex analytic matrix-valued function of several complex variables with multiple semisimple eigenvalue at \(p=0\). The derivative of the eigenvalue at \(p=0\) is expressed in terms of \(\partial A/\partial p\)
openaire   +2 more sources