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The Computer Journal 1965 8(3):273-277; doi:10.1093/comjnl/8.3.273
© 1965 by British Computer Society
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The calculation of Lamé polynomials

J. H. Wilkinson *

Mathematics Division, National Physical Laboratory, Teddington, Middx., UK

The coefficients of Lamé polynomials may be determined from the eigenvectors of certain tridiagonal matrices. Although these matrices have extraordinarily ill-conditioned eigensystems it is shown that there is a simple procedure by means of which the eigenvectors may be determined accurately without resorting to high-precision arithmetic.


* Mathematics Division, National Physical Laboratory, Teddington, Mddx.


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