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Topic: Horner algorithm

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	Numerical analysis - Facts, Information, and Encyclopedia Reference article
		Numerical analysis is the study of algorithms for the problems of continuous mathematics (as distinguished from discrete mathematics).
		A related art is to find stable algorithms for solving ill-posed problems, which generally requires finding a well-posed problem whose solution is close to that of the ill-posed problem and solving this well-posed problem instead.
		Root-finding algorithms are used to solve nonlinear equations (they are so named since a root of a function is an argument for which the function yields zero).
	www.startsurfing.com /encyclopedia/n/u/m/Numerical_analysis.html (1616 words)

	History of mathematics - Wikipedia, the free encyclopedia
		Aryabhata in 499 introduced the versine function, produced the first trigonometric tables of sine, developed techniques and algorithms of algebra, infinitesimals, differential equations, and obtained whole number solutions to linear equations by a method equivalent to the modern method, along with accurate astronomical calculations based on a heliocentric system of gravitation.
		The word algorithm is derived from his name, and the word algebra from the title of one of his works, Al-Jabr wa-al-Muqabilah.
		Kashi also had an algorithm for calculating nth roots, which was a special case of the methods given many centuries later by Ruffini and Horner.
	en.wikipedia.org /wiki/History_of_mathematics (5401 words)

	Jack Dongarra : Papers
		Algorithmic Redistribution Methods for Block-Cyclic Decompositions, A. Petitet and J. J.Dongarra, IEEE Transactions on Parallel and Distributed Systems 10(12):201—220, 1999, ISSN 1045-9219.
		Algorithmic Bombardment for the Iterative Solution of Linear Systems: A Poly-Iterative Approach, R. Barrett, M. Berry, J. Dongarra, V. Eijkhout, and C. Romine, Journal of Computational and Applied Mathematics 74(1—2):91—110, November 1996, ISSN 0377-0427.
		A Parallel Algorithm for the Reduction of a Nonsymmetric Matrix to Block Upper-Hessenberg Form, M. Berry, J. Dongarra, and Y. Kim, Parallel Computing 21(8):1189—1212, August 1995, ISSN 0167-8191.
	www.netlib.org /utk/people/JackDongarra/papers.htm (11190 words)

	The constant $e$ and its computation
		It's therefore very easy to build an efficient algorithm to compute a fast converging sequence to the constant e.
		The first algorithm is just a reformulation of (4) and therefore converges quickly while the second one is derived from Wallis' formula for
		It must be pointed out that using the AGM based process to compute e is quite complicated and less efficient than the binary splitting approach from the exponential series.
	numbers.computation.free.fr /Constants/E/e.html (2300 words)

	TIMELINE 13th CENTURY page of ULTIMATE SCIENCE FICTION WEB GUIDE (Site not responding. Last check: 2007-10-03)
		In this decade, Jordanus Nemorarius is the first to use letters to represent algebraic variables, as explained in his treatise, the "Arithmetica." Before this, writers simply generalized from specific numerical examples.
		He also wrote "Algoriismus demonstratus" ["The Algorithm Demonstrated"], and "De Numeris datis" ["On Given Numbers"], both of which collect various problem-solving rules and methods.
		In the same decade as the "Arithmetica", he wrote "Mechanica" -- a treatise on the Law of the Lever, and the Law of Composition of Movements.
	www.magicdragon.com /UltimateSF/timeline13.html (4950 words)

	Internet Environments for Science Education (Site not responding. Last check: 2007-10-03)
		"Evaluating animations as student aids in learning computer algorithms." Computers and Education 33(1999): 253-278.
		"Integrating algorithm animation into a learning environment." Computers and Education 28(4, May 1997): 223-228.
		Rethinking the evaluation of algorithm animations as learning aids: An observational study.
	www.internetscienceeducation.org /references.html (6549 words)

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