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Re: Please listen to Ulrich here...

Hi Paul,
besides of real numbers we compute with vectors and matrices of real numbers. The dot product is a basic operation in the vector- and matrix spaces.
It can be used for guaranteed evaluation of polynomials and other arithmetic expressions, and it is simple and fast, not more complicated than an adder tree for fast multiplication. 

Wit best regards
Ulrich


Am 07.08.2013 12:22, schrieb Zimmermann Paul:

        Hi Dan,


	When Ulrich talks about problems with exact dot product he has some
	experience in the matter.  More than the rest of us put together.
	If we are about to have a standard that admits the possibility of
	a member that CANNOT do an exact EDP, all our work will be wasted.
	Please consider rewording this document in Ulrich's favor this time.
	He is not just blowing smoke.  It is hard but it is necessary.  Or,
	at least if we make it so.

for once I disagree with you. Someone else might say it is necessary to have a
routine to evaluate exactly polynomials an*x^n + ... + a1*x + a0 in P1788.
Where will you stop?

Please keep in mind the KISS principe.

Please keep P1788 simple.

Please!

Paul



--
Karlsruher Institut für Technologie (KIT)
Institut für Angewandte und Numerische Mathematik
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Prof. Ulrich Kulisch

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