Computation of an eigenvector of a symmetric tridiagonal matrix
โ Scribed by S. K. Godunov; V. I. Kostin; A. D. Mitchenko
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1986
- Tongue
- English
- Weight
- 814 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0037-4466
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
The authors supply the derivative of an orthogonal matrix of eigenvectors of a real symmetric matrix. To illustrate the applicability of their result they consider a real symmetric random matrix for which a more or less standard convergence in distribution is assumed to hold. The well-known delta me