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Results tagged with eigenvalues
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user 28491
Eigenvalues are a special set of scalars associated with a linear system of equations (i.e., a matrix equation) that are sometimes also known as characteristic roots, characteristic values (Hoffman and Kunze 1971), proper values, or latent roots (Marcus and Minc 1988, p. 144).
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inertia count sparse matrix with dense low-rank perturbation
I would like to determine the number of negative eigenvalues (inertia count) of the $(N \times N)$ symmetric real matrix $K - \sigma M$, with $K$ a positive-definite sparse matrix and $M$ a positive-semidefinite …
- 81
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inertia count sparse matrix with dense low-rank perturbation
Matrix $\Lambda_Y$ is the diagonal matrix of the eigenvalues of $Y^T Y$. … Thus, the $r$ finite eigenvalues $\Lambda_f$ can be deduced from the $(r \times r)$ SEP $A_\sigma X = X \Lambda_f^{-1}$.
Let $\Lambda_i$ denote the matrix of the $N - r$ infinite eigenvalues. …
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