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Computing the Maximal Eigenvalue and Eigenvector of a Nonnegative Irreducible Matrix

โœ Scribed by Hall, C. A.; Porsching, T. A.


Book ID
118181718
Publisher
Society for Industrial and Applied Mathematics
Year
1968
Tongue
English
Weight
333 KB
Volume
5
Category
Article
ISSN
0036-1429

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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