eigenvalue
A scalar λ, such that there exists a non-zero vector x for which the image of x under…A scalar λ, such that there exists a non-zero vector x (a corresponding eigenvector) for which the image of x under a given linear transformation A is equal to the image of x under multiplication by λ; i.e. Ax=λx.
» In this chapter we'll introduce two numerical algorithms for calculating the eigenvalues of a matrix.
In diesem Kapitel werden wir zwei numerische Verfahren zur Berechnung der Eigenwerte einer Matrix einführen.
Meaning
1 sensesA scalar λ, such that there exists a non-zero vector x (a corresponding eigenvector) for which the image of x under a given linear transformation A is equal to the image of x under multiplication by λ; i.e. Ax=λx.
Eigenwert
со́бственное значе́ниеsóbstvennoje značénije
- (mathematics) any number such that a given square matrix minus that number times the identity matrix has a zero determinant
Examples
1 sentencesIn this chapter we'll introduce two numerical algorithms for calculating the eigenvalues of a matrix.
deIn diesem Kapitel werden wir zwei numerische Verfahren zur Berechnung der Eigenwerte einer Matrix einführen.
Translations
7 languagesBy meaning 1
By meaning 1
Origin
From eigen- + value. Partial calque of German Eigenwert.From eigen- + value. Partial calque of German Eigenwert.
Wiktionary, CC BY-SA 4.0 · source
Forms
plural: eigenvalues| Singular | eigenvalue |
|---|---|
| Plural | eigenvalues |
regular
Synonyms
8 synonyms- (mathematics) any number such that a given square matrix minus that number times the identity matrix has a zero determinant:eigenvalue of a matrixeigenvalue of a square matrixcharacteristic root of a square matrix