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.
Значение
значений: 1A 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
Примеры
предложений: 1In 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.
Переводы
языков: 7По значениям 1
По значениям 1
Происхождение
From eigen- + value. Partial calque of German Eigenwert.From eigen- + value. Partial calque of German Eigenwert.
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Формы
мн. число: eigenvalues| Ед. число | eigenvalue |
|---|---|
| Мн. число | eigenvalues |
правильный
Синонимы
синонимов: 8- (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