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Computation of eigenvalues and eigenvectors of a symmetric quindiagonal matrix

✍ Scribed by David J. Evans

Publisher: Elsevier Science
Year: 1977
Tongue: English
Weight: 556 KB
Volume: 3
Category: Article
ISSN: 0377-0427
DOI: 10.1016/0771-050x(77)90008-0

No coin nor oath required. For personal study only.

✦ Synopsis

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. Further modifications to the inverse iteration method using Wilkinson's technique (1962) yields the required eigenvectors.

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