Results 11 to 20 of about 14,787 (152)

Convergence of Eigenvector Continuation [PDF]

Physical Review Letters, 2021
Eigenvector continuation is a computational method that finds the extremal eigenvalues and eigenvectors of a Hamiltonian matrix with one or more control parameters. It does this by projection onto a subspace of eigenvectors corresponding to selected training values of the control parameters.
Avik Sarkar, Dean Lee
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On Eigenvector Bounds

BIT Numerical Mathematics, 2003
The authors investigate the conditions under which it is possible to estimate and compute error bounds on a computed eigenvector of a finite matrix. It is shown that nontrivial error bounds on an eigenvector are computable if and only if its geometric multiplicity is one. They also provide an algorithm for the computation of these error bounds and show
Rump, Siegfried M., Zemke, Jens-Peter M.
core   +3 more sources

Eigenvector [PDF]

, 1996
4 pages, 1 article*Eigenvector* (Searle, Shayle R.) 4 ...
Searle, Shayle R., Cornell University. Dept. of Biological Statistics and Computational Biology., Cornell University. Biometrics Unit., Cornell University. Dept. of Biometrics.   +3 more
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Laplacian Eigenvector Centrality [PDF]

CoRR
58 pages with 18 figures and 8 tables (including appendix)
Koya Shimono, Wataru Tamura
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A Fractal Eigenvector

The American Mathematical Monthly, 2022
The recursively-constructed family of Mandelbrot matrices $M_n$ for $n=1$, $2$, $\ldots$ have nonnegative entries (indeed just $0$ and $1$, so each $M_n$ can be called a binary matrix) and have eigenvalues whose negatives $-λ= c$ give periodic orbits under the Mandelbrot iteration, namely $z_k = z_{k-1}^2+c$ with $z_0=0$, and are thus contained in the ...
Neil J. Calkin, Eunice Y. S. Chan, Robert M. Corless, David J. Jeffrey, Piers W. Lawrence   +4 more
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Linearizable Eigenvector Nonlinearities

SIAM Journal on Matrix Analysis and Applications, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rob Claes, Elias Jarlebring, Karl Meerbergen, Parikshit Upadhyaya   +3 more
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Eigenvectors and Reconstruction [PDF]

The Electronic Journal of Combinatorics, 2007
In this paper, we study the simple eigenvectors of two hypomorphic matrices using linear algebra. We also give new proofs of results of Godsil and McKay.
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On the eigenvectors of p-Laplacian [PDF]

Machine Learning, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dijun Luo, Heng Huang 0001, Chris H. Q. Ding, Feiping Nie 0001   +3 more
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James–Stein for the leading eigenvector [PDF]

, 2023
Recent research identifies and corrects bias, such as excess dispersion, in the leading sample eigenvector of a factor-based covariance matrix estimated from a high-dimension low sample size (HL) data set.
Goldberg, Lisa R, Kercheval, Alec N, Alec N. Kercheval, Lisa R. Goldberg   +3 more
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Linearizability of eigenvector nonlinearities

CoRR, 2021
We present a method to linearize, without approximation, a specific class of eigenvalue problems with eigenvector nonlinearities (NEPv), where the nonlinearities are expressed by scalar functions that are defined by a quotient of linear functions of the eigenvector.
Claes, Rob, Jarlebring, Elias, Meerbergen, Karl, Upadhyaya, Parikshit   +3 more
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