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
โฆ LIBER โฆ
A family of symmetric polynomials of the eigenvalues of a matrix
โ Scribed by Vladimir V. Monov
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 154 KB
- Volume
- 429
- Category
- Article
- ISSN
- 0024-3795
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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