English language
Toggle Transcript
eigenvalue::noun | Spocien Dictionary
| Type | Words |
|---|---|
| Synonyms | characteristic root of a square matrix, eigenvalue of a matrix, eigenvalue of a square matrix |
| Type of | value |
Examples of eigenvalue
eigenvalue
This means, in Dirac notation, that unless and correspond to the same eigenvalue.
From the en.wikipedia.org
If one wants to underline this aspect one speaks of nonlinear eigenvalue problem.
From the en.wikipedia.org
The eigenvalue featured article blurb currently ends with a run-on sentence.
From the en.wikipedia.org
The inset shows the eigenvalue spectrum, the gap state being highlighted by a red circle.
From the nature.com
The eigenvalue gives the instability condition of the adiabatic solution.
From the nature.com
The instability results from the appearance of a positive real part for any eigenvalue.
From the nature.com
Our methods are combinatorial and do not require a knowledge of the eigenvalue spectrum.
From the scienceblogs.com
A Ramanujan graph is one whose eigenvalue spectrum attains a certain theoretical maximum.
From the scienceblogs.com
Therefore the blue arrow is an eigenvector, with eigenvalue 1 as its length is unchanged.
From the en.wikipedia.org
- (mathematics) any number such that a given square matrix minus that number times the identity matrix has a zero determinant
- In mathematics, eigenvalue, eigenvector, and eigenspace are related concepts in the field of linear algebra. Eigenvalues, eigenvectors and eigenspaces are properties of a matrix. ...
- The change in magnitude of a vector that does not change in direction under a given linear transformation; a scalar factor by which an eigenvector is multiplied under such a transformation
- (Eigenvalues) In the context of factor analysis, an index that represents the extent to which a factor explains variance across the variables. The eigenvalue, also called the latent root, can be calculated by squaring the factor loadings and then summing these answers. ...
- (Eigenvalues) are special values associated with a (square) matrix, which can be used to analyze its behavior in multiplying any vector.
- Factor analysis is used to uncover the latent structure (dimensions) of a set of variables. It reduces attribute space from a larger number of variables to a smaller number of factors. ...
- The change in length that occurs when the corresponding eigenvector is multiplied by its matrix.
- A mathematical description of the amount of variability in a dataset that is accounted for by a given component.
- A number is an eigenvalue of the square matrix A if there exists a nonzero vector x such that . Eigenvalues are used to determine the stability of critical points of systems of first-order, autonomous differential equations.
