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A family of symmetric polynomials of the eigenvalues of a matrix

โœ 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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๐Ÿ“œ SIMILAR VOLUMES


Estimating the extremal eigenvalues of a
โœ V. Pan ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 364 KB

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

Computation of eigenvalues and eigenvect
โœ David J. Evans ๐Ÿ“‚ Article ๐Ÿ“… 1977 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 556 KB

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