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On the computation of all eigenvalues for the eigenvalue complementarity problem

Journal of Global Optimization, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Luís M. Fernandes   +3 more
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The Interval Eigenvalue Problem

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1991
Let \(A^ I\) be a quadratic interval matrix over \(R\). Then \(\lambda\in C\) is called an eigenvalue of \(A^ I\), if there exists a matrix \(A\in A^ I\) and a vector \(x\neq 0\) such that \(Ax=\lambda x\). The paper is concerned with the set of eigenvalues of \(A^ I\), especially with bounds for them. The symmetric case is discussed first, and is then
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An Optimal Partition Problem for Eigenvalues

Journal of Scientific Computing, 2006
For a bounded, smooth domain \(\Omega\) in \(\mathbb R^n\), the authors study the problem of finding \(m\) disjoint subsets \(\Omega_j\) such that \(\overline \Omega = \bigcup \overline \Omega_j\) and the sum \(\sum \lambda_1( \Omega_j )\) is minimized.
L. A. Cafferelli, Fang Hua Lin
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Some Perspectives on the Eigenvalue Problem

SIAM Review, 1993
This paper discusses the relationships among a number of algorithms for solving the algebraic eigenvalue problem, including the power method, subspace iteration, the QR algorithm, the Arnoldi and symmetric Lanczos methods. Their relations to the recursion of orthogonal polynomials, numerical integration, and measure selection are also discussed.
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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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The eigenvalue problem in phase space

Journal of Computational Chemistry, 2012
We formulate the standard quantum mechanical eigenvalue problem in quantum phase space. The equation obtained involves the c‐function that corresponds to the quantum operator. We use the Wigner distribution for the phase space function. We argue that the phase space eigenvalue equation obtained has, in addition to the proper solutions, improper ...
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The eigenvalue problem of a singular k -Hessian equation

Applied Mathematics Letters, 2022
Xinguang Zhang, Yonghong Wu
exaly  

THE EIGENVALUE PROBLEM

2018
The first major problem of linear algebra is to understand how to solve the basis linear system \(A\mathbf {x}=\mathbf {b}\) and what the solution means. We have explored this system from three points of view: In Chapter 1 we approached the problem from an operational point of view and learned the mechanics of computing solutions. In Chapter 2, we took
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On the Generalized Eigenvalue Problem

IMA Journal of Applied Mathematics, 1976
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Muller Boundary Integral Equations for Solving Generalized Complex-Frequency Eigenvalue Problem

Lobachevskii Journal of Mathematics, 2020
Evgenii M Karchevskii, Karchevskii E M
exaly  

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