Solution of Symmetric and Unsymmetric Band Equations and the Calculations of Eigenvectors of Band Matrices
In an earlier paper in this series  the triangular factorization of positive definite band matrices was discussed. With such matrices there is no need for pivoting, but with non-positive definite or unsymmetric matrices pivoting is necessary in general, otherwise severe numerical instability may result even when the matrix is well-conditioned.
KeywordsNotational Detail Rayleigh Quotient Band Matrix Band Matrice Inverse Iteration
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- Peters, G., and J. H. Wilkinson. The calculation of specified eigenvectors by inverse iteration. Cf. II/18.Google Scholar