Results 161 to 170 of about 2,737 (182)

Eigenvalues, Eigenvectors, and Singular Values

George A F Seber
exaly   +2 more sources

Eigenvector derivatives of repeated eigenvalues using singular value decomposition

Journal of Guidance, Control, and Dynamics, 1989
An explicit formula is obtained for the first-order eigenvector derivative that corresponds to the eigenvector of a repeated eigenvalue, in the case of the nonself-adjoint eigenvalue problem. This method applies to the class of nondefective problems whose first eigenvalue derivatives of the repeated eigenvalues are distinct.
Kyong B. Lim, Jer-Nan Juang, Peiman Ghaemmaghami   +2 more
openaire   +1 more source

Computation of Eigenvectors and Eigenvalues and the Singular Value Decomposition

1998
Before we discuss methods for computing eigenvalues, we mention an interesting observation. Consider the polynomial, f(& λ), $$ {{\lambda }^{p}} + {{a}_{{p - 1}}}{{\lambda }^{{p - 1}}} + ... + {{a}_{1}}\lambda + {{a}_{0}} $$ Now form the matrix, A, $$ \left[ \begin{gathered} 0 1 0 ... 0 \hfill \\ 0 0 1 ... 0 \hfill \\ \ddots \hfill \\ 0 0 0 .
openaire   +1 more source

A note on the eigenvalues, singular values, and eigenvectors of Toeplitz and Hankel matrices.

CoRR, 2022
Sven-Erik Ekström, Stefano Serra-Capizzano, Paris Vassalos   +2 more
openaire   +1 more source

Nondegeneracy of eigenvectors and singular vector tuples of tensors

Science China Mathematics, 2022
Shenglong Hu, Hu Shenglong
exaly  

Hermite–Gaussian-Like Eigenvectors of the Discrete Fourier Transform Matrix Based on the Singular-Value Decomposition of Its Orthogonal Projection Matrices

IEEE Transactions on Circuits and Systems Part 1: Regular Papers, 2004
Magdy Tawfik Hanna
exaly  

Effective construction of eigenvectors for a class of singular sparse matrices

Applied Mathematics Letters, 2019
Xiaoying Han, Habib N Najm
exaly  

Singular and nonsingular eigenvectors for the Gaudin model

Journal of Mathematical Physics, 2001
Annamaria Kiss
exaly