A QUOTIENT-DIFFERENCE ALGORITHM FOR THE DETERMINATION OF EIGENVALUES OF PERIODIC TRIDIAGONAL MATRICE
Authors:
OKOLIE Samuel
Publication Type: Journal article
Journal:
ISSN Number:
0
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Abstract
generalised sparse factorisation of periodic tridiagonal matrices was introduced in Evans and
Okolie[l]. By applying a similar factorisation strategy in a similarity transformation we obtain a sparse
form extension of the Rutishauser's [2] L.R. and Q.D. schemes to determine the eigenvalues of a wide class
of symmetric periodic tridiagonal matrices under certain diagonal dominance conditions. The method
proposed is recommended for use in practical applications such as in the solution of the self -adjoint
periodic characteristic Sturm Liouville problem.