Definition of Eigenpair. Meaning of Eigenpair. Synonyms of Eigenpair

Here you will find one or more explanations in English for the word Eigenpair. Also in the bottom left of the page several parts of wikipedia pages related to the word Eigenpair and, of course, Eigenpair synonyms and on the right images related to the word Eigenpair.

Definition of Eigenpair

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Meaning of Eigenpair from wikipedia

- the vector is called simply an eigenvector, and the pair is called an eigenpair. In this case, Av = λv. Any eigenvalue λ of A has ordinary eigenvectors...
- for the Perron–Frobenius is one-dimensional. ****uming there exists an eigenpair (λ, y) for A, such that vector y is positive, and given (r, x), where...
- iteration is a super-linear and deterministic method to compute the largest eigenpair. Rayleigh quotient iteration Inverse iteration Richard von Mises and H...
- ) {\displaystyle (\lambda _{i},v_{i})} is the i {\displaystyle i} -th eigenpair after orthonormalization and y i = v i ∗ x {\displaystyle y_{i}=v_{i}^{*}x}...
- (nonlinear) eigenvector, and ( λ , x ) {\displaystyle (\lambda ,x)} as the eigenpair. The matrix M ( λ ) {\displaystyle M(\lambda )} is singular at an eigenvalue...
- {\displaystyle (\alpha e^{-i\theta },{\widehat {U}}|\alpha \rangle )} is the eigenpair of a ^ U ^ | α ⟩ {\displaystyle {\widehat {a}}{\widehat {U}}|\alpha \rangle...
- is simple, since if wi is zero, ( e i {\displaystyle e_{i}} ,di) is an eigenpair ( e i {\displaystyle e_{i}} is in the standard basis) of D + w w T {\displaystyle...
- competitive with those of the Lanczos method, computing a single extreme eigenpair of a symmetric matrix. Linear convergence is theoretically guaranteed...
- λ i ) i = 1 n {\displaystyle (v_{i},\lambda _{i})_{i=1}^{n}} be the eigenpairs of A. Due to the symmetry of A, all v i {\displaystyle v_{i}} and λ i...
- spectral theorem applies to C {\displaystyle {\mathcal {C}}} , yielding eigenpairs ( λ j , φ j ) {\displaystyle (\lambda _{j},\varphi _{j})} , so that in...