Results 241 to 250 of about 180,050 (282)

Inverse Problems on the Least Eigenvalue

Results in Mathematics, 2013
The paper deals with generalizations of the classical Ambarzumyan theorem, which, as is well-known, can be formulated in the following way: if the first (i.e., smallest) eigenvalue \(\lambda_0\) of the Sturm-Liouville operator \[ Ay:=-y''+q(x)y, \quad ...
Yang, Jie, Yang, Chuan-Fu
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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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Discontinuous inverse eigenvalue problems

Communications on Pure and Applied Mathematics, 1984
The author considers inverse Sturm-Liouville problems in which the eigenfunctions have a discontinuity in an interior point and proves that if the potential is known over half the interval and if one boundary condition is given then the potential and the other boundary condition are uniquely determined by the eigenvalues.
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An affine inverse eigenvalue problem

Inverse Problems, 2002
Summary: Affine inverse eigenvalue problems are usually solved using iterations where the object is to diminish the difference between a set of prescribed eigenvalues and those calculated during iteration. Such an approach requires a scheme for pairing the eigenvalues consistently throughout the iterative process.
Elhay, S., Ram, Y.
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Inverse eigenvalue problem for tensors

Communications in Mathematical Sciences, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ye, Ke, Hu, Shenglong
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Inverse Eigenvalue Problems for Complex Matrices

Computing, 1970
Wir betrachten die Aufgabe, zu einer komplexen MatrixA eine DiagnonalmatrixV zu finden, so dasA+V (oderVA) vorgeschriebene komplexe Eigenwerte besitzt.
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On the Multiplicative Inverse Eigenvalue Problem

Canadian Mathematical Bulletin, 1972
By "multiplicative inverse eigenvalue problem" (m.i.e.p., for short) we mean the following. Let A be an n×n matrix and let s1,…, sn be n given numbers. Under what conditions does there exist an n×n diagonal matrix V such that VA has eigenvalues s1,…,sn?In the "additive inverse eigenvalue problem" (a.i.e.p., for short) we seek the diagonal matrix V so ...
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Inexact Inverse Iteration for Generalized Eigenvalue Problems

BIT Numerical Mathematics, 2000
To solve the generalized eigenvalue problem \(Ax=\lambda Bx\), one can use the inverse iteration method where in each iteration a linear system of equation \(Az_{k+1}=Bx_k\), has to be solved. In recent years, it has been proposed to solve that system by iterative schemes leading to an inexact inverse iteration method.
Golub, Gene H., Ye, Qiang
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Matrix Inverse Eigenvalue Problems

2011
The term matrix eigenvalue problems refers to the computation of the eigenvalues of a symmetric matrix. By contrast, the term inverse matrix eigenvalue problem refers to the construction of a symmetric matrix from its eigenvalues. While matrix eigenvalue problems are well posed, inverse matrix eigenvalue problems are ill posed: there is an infinite ...
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Geometric Inverse Eigenvalue Problem

1989
Different kinds of additive inverse eigenvalue problems have been studied by many authors [1,2,5,6,9]. Generally, the problem can be set like this: Fix a matrix A ∈ gl(n) and a set ℒ ⊂ gl(n); for any given n numbers {s1... sn}, can we find an L ∈ ℒ such that A + L has precisely the eigenvalues {s1...sn}?
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