Balancing a matrix for calculation of eigenvalues and eigenvectors
โ Scribed by B. N. Parlett; C. Reinsch
- Publisher
- Springer-Verlag
- Year
- 1969
- Tongue
- English
- Weight
- 586 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0029-599X
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๐ SIMILAR VOLUMES
## Abstract An improved method for obtaining a few eigenvalues and eigenvectors of the symmetric matrix system is presented: where **S** โ **I**. The method allows us to handle larger systems more easily than any other known to the author. It requires the inversion of **S**, and __N__^3^ step, but
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