- generalized eigenvalue problem
- Макаров: обобщённая собственная проблема
Универсальный англо-русский словарь. Академик.ру. 2011.
generalized eigenvalue problem
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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
Eigenvalue perturbation — is a perturbation approach to finding eigenvalues and eigenvectors of systems perturbed from one with known eigenvectors and eigenvalues. It also allows one to determine the sensitivity of the eigenvalues and eigenvectors with respect to changes… … Wikipedia
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
Generalized eigenvector — In linear algebra, a generalized eigenvector of a matrix A is a nonzero vector v, which has associated with it an eigenvalue lambda; having algebraic multiplicity k ge;1, satisfying: (A lambda I)^kmathbf{v} = mathbf{0}.Ordinary eigenvectors are… … Wikipedia
Generalized minimal residual method — In mathematics, the generalized minimal residual method (usually abbreviated GMRES) is an iterative method for the numerical solution of a system of linear equations. The method approximates the solution by the vector in a Krylov subspace with… … Wikipedia
Euler's three-body problem — In physics and astronomy, Euler s three body problem is to solve for the motion of a particle that is acted upon by the gravitational field of two other point masses that are either fixed in space or move in circular coplanar orbits about their… … Wikipedia
Cheng's eigenvalue comparison theorem — In Riemannian geometry, Cheng s eigenvalue comparison theorem states in general terms that when a domain is large, the first Dirichlet eigenvalue of its Laplace–Beltrami operator is small. This general characterization is not precise, in part… … Wikipedia
Invariant subspace problem — In the field of mathematics known as functional analysis, one of the most prominent open problems is the invariant subspace problem, sometimes optimistically known as the invariant subspace conjecture. It is the question whether the following… … 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
Eigendecomposition of a matrix — In the mathematical discipline of linear algebra, eigendecomposition or sometimes spectral decomposition is the factorization of a matrix into a canonical form, whereby the matrix is represented in terms of its eigenvalues and… … Wikipedia
