Sensitivity analysis of all eigenvalues of a symmetric matrix
โ Scribed by J.-B. Hiriart-Urruty; D. Ye
- Publisher
- Springer-Verlag
- Year
- 1995
- Tongue
- English
- Weight
- 378 KB
- Volume
- 70
- Category
- Article
- ISSN
- 0029-599X
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๐ SIMILAR VOLUMES
Almtraet--Lower and upper bounds on the absolute values of the eigenvalues of an n x n real symmetric matrix A are given by (trace A ,,)t/m for both negative and positive even m. (The bounds are within a factor of 2 from the eigenvalues already for m > log 2 n.) We present algorithms for computing t
A recursive algorithm for the implicit derivation of the determinant of a symmetric quindiagonal matrix is developed in terms of its leading principal minors. The algorithm is shown to yield a Sturmian sequence of polynomials from which the eigenvalues can be obtained by use of the bisection process