Definition of Eigenvalues. Meaning of Eigenvalues. Synonyms of Eigenvalues

- real eigenvalue, whereas a real matrix with even order may not have any real eigenvalues. The eigenvectors ****ociated with these complex eigenvalues are...
- that each eigenvalue is multiplied by ni, the algebraic multiplicity. If the eigenvalues of A are λi, and A is invertible, then the eigenvalues of A−1 are...
- designing efficient and stable algorithms for finding the eigenvalues of a matrix. These eigenvalue algorithms may also find eigenvectors. Given an n × n...
- are the eigenvalues (of the operator), and the number of times each eigenvalue occurs is called the algebraic multiplicity of the eigenvalue. If the operator...
- the perturbation of a simple eigenvalue (see in multiplicity of eigenvalues). In the entry applications of eigenvalues and eigenvectors we find numerous...
- positive eigenvalue r (Perron–Frobenius eigenvalue or Perron root), which is strictly greater in absolute value than all other eigenvalues, hence r is...
- so λ is known as a Dirichlet eigenvalue for Ω. Dirichlet eigenvalues are contrasted with Neumann eigenvalues: eigenvalues for the corresponding Neumann...
- numerical linear algebra, the Jacobi eigenvalue algorithm is an iterative method for the calculation of the eigenvalues and eigenvectors of a real symmetric...
- of the eigenvalues of the momentum operator is 1 kg⋅m/s. The corresponding eigenvector (which physicists call an eigenstate) with eigenvalue 1 kg⋅m/s...
- a polynomial which is invariant under matrix similarity and has the eigenvalues as roots. It has the determinant and the trace of the matrix among its...