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 ▼ Juergen Rodenkirchen Member Posts: 136 Threads: 31 Joined: Nov 2005 02-24-2008, 03:45 AM Hi all! Does any one of you know a source (book, internet) that deals with the effect of number representations on the solving of (linear) systems of equations? Thanks for your input in advance. Juergen ▼ Mad Dog ebaycalcnut Member Posts: 124 Threads: 17 Joined: Dec 2006 02-24-2008, 02:46 PM I assume you have done some google searches. Doing this, I got some interesting results. I entered the following keywords into google: number representations linear systems To be honest, I don't know much about number representations. My expertise is different. ▼ Juergen Rodenkirchen Member Posts: 136 Threads: 31 Joined: Nov 2005 02-24-2008, 04:33 PM Thanks for your input anyway :-) Regards, Juergen John Ferman Junior Member Posts: 11 Threads: 5 Joined: Jan 2008 02-24-2008, 06:03 PM Juergen, could you elaborate on what you mean by number representations. The first things that come into my mind are decimal or exponential. In solving linear equations, both matrix and vector operations come into play; first matrix inversion, then matrix vector multiplication. I am guessing your query has to do with overflow/underflow in the number storage locations. I don't remember seeing any books that cover those kind of issues. ▼ Juergen Rodenkirchen Member Posts: 136 Threads: 31 Joined: Nov 2005 02-25-2008, 04:17 PM Hi John! Well, sort of that. I'm looking for a way of estimating the error of a Gauss-Elimination say (exact algorithm), depending on the base and mantissa-width of the floating point numbers used or the like ... Regards, Juergen ▼ Patrice Guérin Junior Member Posts: 1 Threads: 0 Joined: Feb 2008 02-27-2008, 08:13 PM Hi Juergen, When I was at the university in the 80's, my course in Numerical Analysis was teached by Jean Vignes. He was the author of a book about "La méthode PEPER" (method of permutation-perturbation) to estimate the error of numerical methods when some error are introduced on the last significant digit of a number. I know that the book exist in french, and maybe I always have documents about this. Here are some links I've found (mostly in french, sorry) ```http://www.editionstechnip.com/sources/Liste_Fiche.asp?CV=151.001 http://books.google.fr/books?id=gkfHlYIV300C&pg=PA253&lpg=PA253&dq=m%C3%A9thode+peper&source=web&ots=D3uJb82As5&sig=xr3ZcKvCKhbR3KWwfqisB8dioJU&hl=fr http://www.springerlink.com/content/v02gjun47l058564/ http://www.lip6.fr/Laboratoire/Rapport_2000/ANP.pdf See page 9 of pdf file, referring to CADNA and CESTAC. ``` Hope this helps

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