задачи о собственных значениях
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[http://www.iks-media.ru/glossary/index.html?glossid=2400324]
Англо-русский словарь нормативно-технической терминологии. academic.ru. 2015.
Eigenvalue, eigenvector and eigenspace — In mathematics, given a linear transformation, an Audio|De eigenvector.ogg|eigenvector of that linear transformation is a nonzero vector which, when that transformation is applied to it, changes in length, but not direction. For each eigenvector… … Wikipedia
Eigenvalue algorithm — In linear algebra, one of the most important problems is designing efficient and stable algorithms for finding the eigenvalues of a matrix. These eigenvalue algorithms may also find eigenvectors. Contents 1 Characteristic polynomial 2 Power… … Wikipedia
Divide-and-conquer eigenvalue algorithm — Divide and conquer eigenvalue algorithms are a class of eigenvalue algorithms for Hermitian or real symmetric matrices that have recently (circa 1990s) become competitive in terms of stability and efficiency with more traditional algorithms such… … Wikipedia
Quadratic eigenvalue problem — In mathematics, the quadratic eigenvalue problem [F. Tisseur and K. Meerbergen, The quadratic eigenvalue problem, SIAMRev., 43 (2001), pp. 235–286.] (QEP) , is to find scalar eigenvalues lambda,, left eigenvectors y, and right eigenvectors x,… … Wikipedia
Dirichlet eigenvalue — In mathematics, the Dirichlet eigenvalues are the fundamental modes of vibration of an idealized drum with a given shape. The problem of whether one can hear the shape of a drum is: given the Dirichlet eigenvalues, what features of the shape of… … Wikipedia
Examples of boundary value problems — We will use k to denote the square root of the absolute value of lambda.If lambda = 0 then:y(x) = Ax + B,solves the ODE. Substituted boundary conditions give that both A and B are equal to zero.For positive lambda we obtain that:y(x) = A e^{kx} + … Wikipedia
Stochastic processes and boundary value problems — In mathematics, some boundary value problems can be solved using the methods of stochastic analysis. Perhaps the most celebrated example is Shizuo Kakutani s 1944 solution of the Dirichlet problem for the Laplace operator using Brownian motion.… … Wikipedia
Eigenvalues and eigenvectors — For more specific information regarding the eigenvalues and eigenvectors of matrices, see Eigendecomposition of a matrix. In this shear mapping the red arrow changes direction but the blue arrow does not. Therefore the blue arrow is an… … Wikipedia
Calculus of variations — is a field of mathematics that deals with extremizing functionals, as opposed to ordinary calculus which deals with functions. A functional is usually a mapping from a set of functions to the real numbers. Functionals are often formed as definite … Wikipedia
List of numerical analysis topics — This is a list of numerical analysis topics, by Wikipedia page. Contents 1 General 2 Error 3 Elementary and special functions 4 Numerical linear algebra … Wikipedia
Lanczos algorithm — The Lanczos algorithm is an iterative algorithm invented by Cornelius Lanczos that is an adaptation of power methods to find eigenvalues and eigenvectors of a square matrix or the singular value decomposition of a rectangular matrix. It is… … Wikipedia
