Results 271 to 280 of about 36,154 (311)

On a Quadratic Eigenvalue Problem

SIAM Journal on Mathematical Analysis, 1974
It is shown that the eigenvalue problem $u'' + Bu(\lambda ^2 + \lambda p)u$; $u(0) = u(1) = 0$ (where p is a positive function and B an arbitrary bounded operator on $L^2 [0,1]$ possesses in general two different sets of eigenfunctions, each of which is an unconditional basis for $L^2$ and other spaces.
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Computation of Selected Eigenvalues of Generalized Eigenvalue Problems

Journal of Computational Physics, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nayar, Narinder, Ortega, James M.
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A note on unimodular eigenvalues for palindromic eigenvalue problems

International Journal of Computer Mathematics, 2012
We consider the occurrence of unimodular eigenvalues for palindromic eigenvalue problems associated with the matrix polynomial where A i *= A n − i with M * ≡ M T, M H or . From the properties of palindromic eigenvalues and their characteristic polynomials, we show that eigenvalues are not generically excluded from the unit circle, thus
Chun-Yueh Chiang, Eric King-Wah Chu, Peter Chang-Yi Weng   +2 more
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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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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, Joaquim João Júdice, Hanif D. Sherali, Masao Fukushima   +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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