Results 81 to 90 of about 197,517 (218)

Eigenvalues and Eigenvectors

open access: yes, 1997
The decomposition of a matrix A into a product of two or three matrices can (depending on the characteristics of those matrices) be a very useful first step in computing such things as the rank, the determinant, or an (ordinary or generalized) inverse (of A) as well as a solution to a linear system having A as its coefficient matrix.
openaire   +3 more sources

On the Spectrum of a Discrete Non-Hermitian Quantum System

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2009
In this paper, we develop spectral analysis of a discrete non-Hermitian quantum system that is a discrete counterpart of some continuous quantum systems on a complex contour.
Ebru Ergun
doaj   +1 more source

Observations on the Computation of Eigenvalue and Eigenvector Jacobians

open access: yesAlgorithms, 2019
Many scientific and engineering problems benefit from analytic expressions for eigenvalue and eigenvector derivatives with respect to the elements of the parent matrix.
Andrew J. Liounis   +2 more
doaj   +1 more source

Almost Eigenvalues and Eigenvectors of Almost Mathieu Operators

open access: yes, 2015
The almost Mathieu operator is the discrete Schr\"odinger operator $H_{\alpha,\beta,\theta}$ on $\ell^2(\mathbb{Z})$ defined via $(H_{\alpha,\beta,\theta}f)(k) = f(k + 1) + f(k - 1) + \beta \cos(2\pi \alpha k + \theta) f(k)$. We derive explicit estimates
Strohmer, Thomas, Wertz, Tim
core  

The Female Population Growth Projection Year 2021 in Trenggalek Regency by Leslie Matrix Model on the Birth Rate and Life Expectancy

open access: yesBiology, Medicine & Natural Product Chemistry, 2017
This research aims to determine the number of female residents in Trenggalek Regency in 2021 based on data on birth rate and life expectancy. The use of eigenvalues and eigenvectors aims to determine the dividing age distribution by Leslie matrix model ...
Dewi Anggreini
doaj   +1 more source

Discrete inequalities of Wirtinger's type for higher differences

open access: yesJournal of Inequalities and Applications, 1997
Discrete version of Wirtinger's type inequality for higher differences, where and is considered. Under some conditions, the best constants , and are determined.
Milovanović Gradimir V   +1 more
doaj  

Mathematical Modeling of Eigenvibrations of the Shallow Shell with an Attached Oscillator

open access: yesУчёные записки Казанского университета: Серия Физико-математические науки
For the problem of eigenvibrations of the shallow shell with an attached oscillator, a new symmetric variational statement in the Hilbert space was proposed.
D. M. Korosteleva, S. I. Solov’ev
doaj   +1 more source

New fractional cosine transform and its application

open access: yesTongxin xuebao, 2005
A new Fractional Cosine Transform was proposed. It was a weighted combination of the first two integer-order cosine transforms of the original signal, and it has the same eigenvectors as the cosine transform’s, but the different eigenvalues which have a ...
ZHANG Yong-liang, ZENG Yi-cheng
doaj  

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