Results 221 to 230 of about 6,952 (262)

An inverse eigenvalue problem for Jacobi matrices with a missing eigenvalue

Applied Mathematics Letters, 2022
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Guangsheng Wei, Bin He
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Newton's Method for a Generalized Inverse Eigenvalue Problem

Numerical Linear Algebra With Applications, 1997
A family of matrices \(A(c)\) and \(B(c)\) dependent on a vector \(c=(c_1,\dots,c_n)\in \Omega \subset \mathbb R^n\) is introduced, \(A(c)=A_0+\sum_{k=1}^n c_kA_k\), \(B(c)=B_0+\sum_{k=1}^n c_kB_k\), \(B(c)>0\), where \(A_k,B_k\), \(k=0,\dots n\), are given real symmetric matrices.
Hua Dai
exaly   +3 more sources

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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An inverse eigenvalue problem for Hamiltonian matrices

Journal of Computational and Applied Mathematics, 2021
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Yongxin Yuan, Jinghua Chen
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Structured inverse eigenvalue problems

Acta Numerica, 2002
An inverse eigenvalue problem concerns the reconstruction of a structured matrix from prescribed spectral data. Such an inverse problem arises in many applications where parameters of a certain physical system are to be determined from the knowledge or expectation of its dynamical behaviour.
Moody T. Chu, Gene H. Golub
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On the Solution of the Inverse Eigenvalue Complementarity Problem

Journal of Optimization Theory and Applications, 2013
The authors consider the inverse eigenvalue linear complementarity problem and propose its global optimization reformulations. They give conditions which provide equivalence between local and global solutions and suggest an enumerative algorithm for finding global solutions of one of formulations. The results of computational experiments are reported.
Carmo P. Brás, Joaquim João Júdice, Hanif D. Sherali   +2 more
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Inverse Eigenvalue Problems

SIAM Review, 1998
In the inverse eigenvalue problem, one has to construct a matrix with a (partially) given spectrum. The problem appears in many different forms and in many different applications. Usually the problem is constrained in the sense that the matrix \(M\) that one wants to find has to be in a certain class. For example it should be of the form \(M=A+X\) or \(
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Solving inverse Pareto eigenvalue problems

Optimization Letters, 2022
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Samir Adly, Manh Hung Le
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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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Inverse eigenvalue problems

Journal of Mathematical Physics, 2016
In this article we consider inverse eigenvalue problems for the Schrödinger operator on a finite interval. We extend and strengthen previously known uniqueness theorems. A partially known potential is identified by some sets of eigenvalues and norming constants.
Miklós Horváth, Orsolya Sáfár
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