Results 161 to 170 of about 12,585,660 (209)

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
openaire   +2 more sources

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 ...
openaire   +1 more source

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.
openaire   +3 more sources

ARPACK users' guide - solution of large-scale eigenvalue problems with implicitly restarted Arnoldi methods

Software, environments, tools, 1998
R. Lehoucq, D. Sorensen, Chao Yang
semanticscholar   +1 more source

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 ...
openaire   +2 more sources

Symbol-Based Analysis of Finite Element and Isogeometric B-Spline Discretizations of Eigenvalue Problems: Exposition and Review

Archives of Computational Methods in Engineering, 2019
C. Garoni, H. Speleers, Sven-Erik Ekström, A. Reali, S. Serra-Capizzano, T. Hughes   +5 more
semanticscholar   +1 more source

Eigenvalue Problems

Numerical Analysis for Applied Science, 2019
K. Atkinson, D. Chien, O. Hansen
semanticscholar   +2 more sources

Multiparameter Eigenvalue Problems and Shift-invariance

IFAC-PapersOnLine, 2021
Bart de Moor, Katrien de Cock
exaly  

Numerical Methods for Large Eigenvalue Problems

, 2011
Y. Saad
semanticscholar   +1 more source

Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces

, 1976
H. Amann
semanticscholar   +1 more source