On 9/11/06, Eugene McDonnell <[EMAIL PROTECTED]> wrote:
Boyko,
Does my article in Vector 14.1 (July 1997) have any relevance to your
technique? It uses determinants on matrices with boxed elements.
Eugene,
If you mean whether the Horner's rule applies to computing
determinants on matrices of polynomial representations,
then no, I do not see connection.
But surely the method applies to computing the
characterisic polynomial of the matrix with the matrix itself
as an argument. So instead of computing a7, a8, and +/a8
in the article, which is a powers-based computation, one
could do the multiply-and-add iteration as prescribed by
the Horner's rule. This should reduce the total number of
arithmetic operations. All it takes is replacing * with
multiplication on matrices.
Regards,
Boyko
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