About: Nonlinear eigenproblem

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In mathematics, a nonlinear eigenproblem, sometimes nonlinear eigenvalue problem, is a generalization of the (ordinary) eigenvalue problem to equations that depend nonlinearly on the eigenvalue. Specifically, it refers to equations of the form where is a vector, and is a matrix-valued function of the number . The number is known as the (nonlinear) eigenvalue, the vector as the (nonlinear) eigenvector, and as the eigenpair. The matrix is singular at an eigenvalue .

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rdfs:label	Nonlinear eigenproblem (en)
rdfs:comment	In mathematics, a nonlinear eigenproblem, sometimes nonlinear eigenvalue problem, is a generalization of the (ordinary) eigenvalue problem to equations that depend nonlinearly on the eigenvalue. Specifically, it refers to equations of the form where is a vector, and is a matrix-valued function of the number . The number is known as the (nonlinear) eigenvalue, the vector as the (nonlinear) eigenvector, and as the eigenpair. The matrix is singular at an eigenvalue . (en)
sameAs	Nonlinear eigenproblem
dbp:wikiPageUsesTemplate	dbt:Short_description
Subject	Linear algebra
prov:wasDerivedFrom	http://en.wikipedia.org/wiki/Nonlinear_eigenproblem?oldid=1032700966&ns=0
Wikipage page ID	15663283 (xsd:integer)
page length (characters) of wiki page	9372 (xsd:nonNegativeInteger)
Wikipage revision ID	1032700966 (xsd:integer)
Link from a Wikipage to another Wikipage	Nonlinear system Numerical linear algebra Françoise Tisseur Gene H. Golub Generalized eigenvector Journal of Computational and Applied Mathematics KU Leuven Linear algebra Domain (mathematical analysis) Quadratic eigenvalue problem Zero of a function Delay differential equation Linear map Conjugate transpose Eigendecomposition of a matrix Eigenvalues and eigenvectors Hermitian matrix Holomorph SIAM Journal on Matrix Analysis and Applications Society for Industrial and Applied Mathematics Function (mathematics) Kernel (linear algebra) Derivative Determinant Vector (mathematics and physics) École Polytechnique Fédérale de Lausanne Mathematics Matrix (mathematics) Multiplicity (mathematics) Algebraic fraction dbr:Doi:10.1137/S0036144500381988
has abstract	In mathematics, a nonlinear eigenproblem, sometimes nonlinear eigenvalue problem, is a generalization of the (ordinary) eigenvalue problem to equations that depend nonlinearly on the eigenvalue. Specifically, it refers to equations of the form where is a vector, and is a matrix-valued function of the number . The number is known as the (nonlinear) eigenvalue, the vector as the (nonlinear) eigenvector, and as the eigenpair. The matrix is singular at an eigenvalue . (en)
foaf:isPrimaryTopicOf	http://en.wikipedia.org/wiki/Nonlinear_eigenproblem
is Wikipage redirect of	Polynomial eigenvalue problem
is Link from a Wikipage to another Wikipage of	Françoise Tisseur Delay differential equation Eigenvalues and eigenvectors Henk van der Vorst Matrix pencil

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