Need references for MiniMax fitting « Next Oldest | Next Newest »

 ▼ Namir Posting Freak Posts: 2,247 Threads: 200 Joined: Jun 2005 09-06-2006, 12:42 PM Hi All, Valentin Albillo has published on his web site an HP-71B BASIC program that calculates the minimax coefficients of polynomials that pass through a discrete set of data. As I find myself interested in the algorithms used to evaluate basic transcendental functions, Valentin's approach comes across as very practical and useful. He provides a minimax polynomial that is very easy to evaluate. I would like very much to obtain references for the algorithms behind the minimax polynomial fit. Links to web sitss or references to books are most appreciated. Namir Edited: 6 Sept 2006, 9:35 p.m. ▼ Valentin Albillo Posting Freak Posts: 1,755 Threads: 112 Joined: Jan 2005 09-08-2006, 08:26 AM Hi, Namir: Thanks a lot for your kind remarks and your interest in my HP-71B Minimax Polynomial Fit program (freely downloadable in PDF format from my HP calc web site). These references might prove useful to you as a start: Ref. 1 (PDF document) Ref. 2 (PDF document) Ref. 3 (PDF document) Ref. 4 (Web site, theory and plenty of useful examples, with graphics) Best regards from V. ▼ Namir Posting Freak Posts: 2,247 Threads: 200 Joined: Jun 2005 09-08-2006, 11:12 AM Excellent Valentin. Many many thanks for these references. I have tried coding (using Excel VBA so far) different methods to evaluate e^x, the basic trig functions and their inverses. The minimax polyomial that you showed in a previous post is the most practical for a handheld calculator (as an exercise of course). I have used the approximation by summing the products of constants coefficients with shifted Chebyshev polynomials. While they work ok in VBA (or any other high-level langauge), they are no practical to implement on a vintage programmable calculator like the HP-67. Again, thanks for the references. Namir

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