Results 271 to 280 of about 5,971,680 (301)

An Inverse Eigenvalue Problem and an Extremal Eigenvalue Problem

1990
This talk presents results for two inverse problems which arise in the study of vibrating systems. The first problem (Part I) extends the theory of second order inverse eigenvalue problems in one dimension and is joint work with Carol Coleman. The second problem (Part II) solves an identification problem for composite membranes in n-dimensions; this ...
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On the inversion of eigenvalue problems

Annals of Physics, 1963
Abstract The aim of this paper is to draw attention to an apparently forgotten paper ( 1 ) on the inverse scattering problem in quantum mechanics and to add some generalizations and explanations. In the enormous literature ( 2, 3 ) which in the course of 15 years has grown up around this problem, nobody appears to have taken advantage of the simple ...
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An inverse eigenvalue problem for Jacobi matrix

Applied Mathematics and Computation, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ying Wei 0003, Hua Dai 0001
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The Additive Inverse Eigenvalue Problem for Lie Perturbations

SIAM Journal on Matrix Analysis and Applications, 1993
The additive inverse eigenvalue problem over an algebraically closed field \(F\) of characteristic zero is considered: given a matrix \(A\in\text{gl}(n,F)\) and a matrix Lie subalgebra \({\mathcal L}\subset\text{gl}(n,F)\), under which conditions on \({\mathcal L}\) one can arbitrarily assign the eigenvalues of \(A+L\), when the perturbation \(L ...
Christopher I. Byrnes, Xiaochang Wang 0001   +1 more
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An Inverse Eigenvalue Problem of Order Four

SIAM Journal on Mathematical Analysis, 1976
In this paper coefficients $A(s) \in c^\infty [0,1]$, $B(s) \in c^\infty [0,1]$ are constructed so that given positive numbers $\lambda _1 < \lambda _2 < \cdots < \lambda _n $, are the first n eigenvalues and given positive numbers $\rho _1 , \cdots ,\rho _n $ are the first n normalization constants for the first n eigenfunctions for the fourth order ...
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Inverse Eigenvalue Problems

1996
Inverse eigenvalue problems are not only interesting in their own right but also have important practical applications. We recall the fundamental paper by Kac [132]. Other applications appear in parameter identification problems for parabolic or hyperbolic differential equations (see [149, 170, 234]) or in grating theory ([140]).
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An Inverse Eigenvalue Problem for Random Matrices

SIAM Journal on Applied Mathematics, 1978
The mean and variance of the top eigenvalue of a discrete version of the operator $ - \nabla ^2 + q$ are shown to be sufficient to determine the mean of the random vector q.
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Backward errors for the inverse eigenvalue problem

Numerische Mathematik, 1999
For a class of inverse symmetric eigenvalue problems, where real numbers \(c_1,\dots, c_n\) are sought, such that \(A_0+ \sum^n_{k= 1} c_kA_k\), where \(A_k\) are symmetric \(n\times n\) matrices, have certain prescribed eigenvalues, a computable backward error is given, which bounds the norms of symmetric perturbation matrices \(\Delta A_k\) mainly by
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Initial Values for the Inverse Toeplitz Eigenvalue Problem

SIAM Journal on Scientific Computing, 2001
The paper deals with finding of symmetric Toeplitz matrices whose eigenvalues are closed to specified target sets of \(n\) real numbers.
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Inverse Eigenvalue Problem for a Modified Vibrating System

SIAM Journal on Applied Mathematics, 1993
This paper studies the realizability of a mass-spring system, whose eigenvalues are known both for the simply connected system and for the modified system with one oscillator of known mass and stiffness added. The modified system can be interpreted as a rank two modification to the tridiagonal generalized eigenvalue equation. Its solvability depends on
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