Nonlinear eigenproblem
id:
nonlinear-eigenproblem-288-6720733
title:
Nonlinear eigenproblem
text:
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 x ≠ 0 is a vector, and M is a matrix-valued function of the number λ . The number λ is known as the (nonlinear) eigenvalue, the vector x as the (nonlinear) eigenvector, and as the eigenpair. The matrix M is singular at an eigenvalue λ .
brand slug:
wiki
category slug:
encyclopedia
description:
Mathematical equation involving a matrix-valued function that is singular at the eigenvalue.
original url:
https://en.wikipedia.org/wiki/Nonlinear_eigenproblem
date created:
date modified:
2024-01-05T22:04:47Z
main entity:
{"identifier":"Q7049471","url":"https://www.wikidata.org/entity/Q7049471"}
image:
fields total:
13
integrity:
14