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Eigenvalues and eigenvectors

In linear algebra, an eigenvector (/ˈaɪɡən-/ EYE-gən-) or characteristic vector is a (nonzero) vector that has its direction unchanged (or reversed) by a given linear transformation. More precisely, an eigenvector v {\displaystyle \mathbf {v} } of a linear transformation T {\displaystyle T} is scaled by a constant factor λ {\displaystyle \lambda } when…

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Overview

Matrices

History

Eigenvalues and eigenvectors of a matrix

Eigenvalues and eigenfunctions of differential operators

General definition

Dynamic equations

Calculation

Applications

Theory

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Eigenvalues and eigenvectors

Nodes265
Edges264
Triples54
Avg. degree1.99
Density0.007547
Components1

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Eigenvalues and eigenvectors

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related to External links · 21
Eigenvalues and eigenvectors → Ask, Click, Eigen Values, Eigen Vectors, Eigen Vectors Numerical Examples, Eigenvalues, Eigenvectors Calculator, Essence, Experts, Go, Interactive Program, Introduction, It, Khan AcademyEigenvectors, PhysLink, Revoledu, Select, Symbolab, Tutorial, Wikiversity
has method · 9
Eigenvalues and eigenvectors → Combining, Efficient, For, Hermitian, Householder, Lanczos, LU, Most, QR
related to overview · 9
Eigenvalues and eigenvectors → Applying, Eigenvalues, English, For, German, In, Originally, The, This
related to Eigenvalues and eigenvectors of a matrix · 5
Eigenvalues and eigenvectors → Consider, Eigenvalues, Furthermore, In, These
related to Matrices · 4
Eigenvalues and eigenvectors → For, Given, Hence, This
related to General definition · 3
Eigenvalues and eigenvectors → Let, The, We
is a · 1
Eigenvalues and eigenvectors → topic where theory
related to Calculation · 1
Eigenvalues and eigenvectors → The

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displaystyle matrix eigenvalues eigenvectors eigenvalue lambda linear vector eigenvector equation polynomial transformation matrices characteristic mathbf end begin called associated corresponding

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SubjectPredicateObjectConfidenceSrc
Eigenvalues and eigenvectorsis atopic where theory0.90text
floating-point.EigenvaluesThe eigenvalues of a matrix A can be determined by finding the roots of the characteristic polynomialinstance ofIt is in several ways poorly suited for non-exact arithmetics0.80text
Eigenvalues and eigenvectorshas methodEfficient0.60section
Eigenvalues and eigenvectorshas methodQR0.60section
Eigenvalues and eigenvectorshas methodCombining0.60section
Eigenvalues and eigenvectorshas methodHouseholder0.60section
Eigenvalues and eigenvectorshas methodLU0.60section
Eigenvalues and eigenvectorshas methodFor0.60section
Eigenvalues and eigenvectorshas methodHermitian0.60section
Eigenvalues and eigenvectorshas methodLanczos0.60section
Eigenvalues and eigenvectorshas methodMost0.60section
Eigenvalues and eigenvectorsrelated to CalculationThe0.60section

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