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On the computation of all eigenvalues for the eigenvalue complementarity problem
Journal of Global Optimization, 2014zbMATH 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, 1991Let \(A^ I\) 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, 2006For 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, 1993This 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
1990This 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, 2012We 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, 2022Xinguang Zhang, Yonghong Wu
exaly
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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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, 1976openaire +1 more source
Muller Boundary Integral Equations for Solving Generalized Complex-Frequency Eigenvalue Problem
Lobachevskii Journal of Mathematics, 2020Evgenii M Karchevskii, Karchevskii E M
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