Results 231 to 240 of about 30,879 (264)

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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Generalized Tensor Eigenvalue Problems

SIAM Journal on Matrix Analysis and Applications, 2015
Summary: This paper is devoted to generalized tensor eigenvalue problems. We focus on the properties and perturbations of the spectra of regular tensor pairs. Employing different techniques, we extend several classical results from matrices or matrix pairs to tensor pairs, such as the Gershgorin circle theorem, the Collatz-Wielandt formula, the Bauer ...
Weiyang Ding, Yimin Wei 0001
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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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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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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 -Hessian equation

Applied Mathematics Letters, 2022
Xinguang Zhang, Yong Wu
exaly  

THE DISTRIBUTION OF THE EIGENVALUES IN CERTAIN EIGENVALUE PROBLEMS

The Quarterly Journal of Mathematics, 1964
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On the Generalized Eigenvalue Problem

IMA Journal of Applied Mathematics, 1976
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EIGENVALUE PROBLEMS

1966
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