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Output-Only Modal Identification of Civil Engineering Structures Based on Parametric Complexity Pursuit. [PDF]
Li J +4 more
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Computation of Eigenvectors and Eigenvalues and the Singular Value Decomposition
Statistics and Computing, 1998Before 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 .
Gentle James E, James E Gentle
exaly +2 more sources
Eigenvector derivatives of repeated eigenvalues using singular value decomposition
Journal of Guidance, Control, and Dynamics, 1989An 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 +2 more
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A note on the eigenvalues, singular values, and eigenvectors of Toeplitz and Hankel matrices.
CoRR, 2022Sven-Erik Ekström +2 more
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Nondegeneracy of eigenvectors and singular vector tuples of tensors
Science China Mathematics, 2022Shenglong Hu, Hu Shenglong
exaly
Effective construction of eigenvectors for a class of singular sparse matrices
Applied Mathematics Letters, 2019Xiaoying Han, Habib Najm
exaly
Singular and nonsingular eigenvectors for the Gaudin model
Journal of Mathematical Physics, 2001Annamaria Kiss
exaly
Strong Law for the singular values and eigenvectors of random matrices II
Random Operators and Stochastic Equations, 1998V L Girko
exaly

