Results 81 to 90 of about 863,069 (264)

Guaranteed lower bounds for eigenvalues

Mathematics of Computation, 2014
. This paper introduces fully computable two-sided bounds on the eigenvalues of the Laplace operator on arbitrarily coarse meshes based on some approximation of the corresponding eigenfunction in the nonconforming Crouzeix-Raviart finite element space ...
C. Carstensen, J. Gedicke
semanticscholar   +1 more source

MULTIPLICITIES OF EIGENVALUES

Demonstratio Mathematica, 1988
Let \(\lambda\) be an eigenvalue of a complex n by n matrix. Denote by m, \(m^*\) the multiplicity of \(\lambda\) as a root of the characteristic and minimal polynomial of the given matrix, respectively. Furthermore denote by \(\hat m\) the geometric multiplicity of \(\lambda\), i.e. the dimension of the corresponding eigenspace of \({\mathbb{C}}^ n\).
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Guaranteed Eigenvalue Bounds for the Steklov Eigenvalue Problem [PDF]

SIAM Journal on Numerical Analysis, 2019
To provide mathematically rigorous eigenvalue bounds for the Steklov eigenvalue problem, an enhanced version of the eigenvalue estimation algorithm developed by the third author is proposed, which removes the requirements of the positive definiteness of bilinear forms in the formulation of eigenvalue problems.
Chun'guang You, Hehu Xie, Xuefeng Liu
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Correlation functions of eigenvalues of multi-matrix models, and the limit of a time dependent matrix

, 1998
We consider the correlation functions of eigenvalues of a unidimensional chain of large random hermitian matrices. An asymptotic expression of the orthogonal polynomials allows to find new results for the correlations of eigenvalues of different matrices
, B Eynard, Bessis D, Brezin E, Bronk B V, Brézin E, Brézin E, Dyson F J, Efetov K B, Eynard B, For numerical evidence see Kobayakawa T S, Guhr T, Harish-Chandra, Itzykson C, Leff H S, Leff H S, Mehta M L, Mehta M L, Mello P A, More recently, Szegö G, Wigner E P, Wilkinson M, Wilkinson M, Wilson W M, Zinn-Justin P   +25 more
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Eigenvalues and perfect matchings [PDF]

Linear Algebra and its Applications, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Brouwer, A.E., Haemers, W.H.
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Real eigenvalues in the non-Hermitian Anderson model

, 2018
The eigenvalues of the Hatano--Nelson non-Hermitian Anderson matrices, in the spectral regions in which the Lyapunov exponent exceeds the non-Hermiticity parameter, are shown to be real and exponentially close to the Hermitian eigenvalues.
Goldsheid, Ilya, Sodin, Sasha
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A Note on the Eigenvalue Problem in Crystal Statistics [PDF]

, 1951
Y. Nambu
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On the Necessity of Dynamic Inflow [PDF]

Modeling, Identification and Control
This work explores the importance of dynamic inflow for wind turbines of varying rotor radius and also includes various coplanar multirotor setups. A parametrized model including the rotor and inflow dynamics is formulated.
Finn Matras, Morten D. Pedersen
doaj   +1 more source

Multiple eigenvalues

Linear Algebra and its Applications, 2008
19 pages, 1 figure, 2 ...
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The Krein Matrix: General Theory and Concrete Applications in Atomic Bose-Einstein Condensates [PDF]

, 2013
When finding the nonzero eigenvalues for Hamiltonian eigenvalue problems it is especially important to locate not only the unstable eigenvalues (i.e., those with positive real part), but also those which are purely imaginary but have negative Krein ...
Kapitula, Todd, Kevrekidis, Panayotis, Yan, Dong   +2 more
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