Pdf J.h.wilkinson C.reinsch Handbook For Automatic Computation Pdf

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Wilkinson F.R.S.: free download. Ebooks library. On-line books store on Z-Library B–OK. Download books for free. Description: SIAM Review contains articles that are written for a wide scientific audience. Articles include expository or survey papers focusing on important advances in applied or computational mathematics, or papers outlining the mathematical and computational challenges in scientific or engineering applications. The development of the internationally standardized language ALGOL has made it possible to prepare procedures which can be used without modification whenever a.

Chebyshev expansions for the error and related functions


Author:J. L. Schonfelder
Journal:Math. Comp. 32 (1978), 1232-1240
MSC:Primary 65D20; Secondary 33A20
DOI:https://doi.org/10.1090/S0025-5718-1978-0494846-8
MathSciNet review:0494846
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Abstract: New 30 decimal place Chebyshev expansions, which can be used to obtain approximations up to that accuracy, for the error function and its complement are presented. Bilinear and biquadratic mappings of the independent variable have been employed, in one case to improve convergence and in the other to increase the basic approximation range. The practical effects of these mappings are discussed, and the method used to generate the tabulated expansions is outlined. The expansions here presented form the basis of the routines in the S15 chapter of the NAG library.

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[Y]
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L. LUKE, Algorithms for the Computation of Mathematical Functions, Academic Press, New York, 1978. MR 0494840 (58:13624)
[3]
G. F. MILLER, Private communication.
[4]
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[J]
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[J]
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DOI:https://doi.org/10.1090/S0025-5718-1978-0494846-8
Keywords:Special function approximation,error functions,Chebyshev expansions
Article copyright:© Copyright 1978American Mathematical Society

Pdf j.h.wilkinson c.reinsch handbook for automatic computation pdf
Author : John H. Wilkinson
ISBN : 9783642869402
Genre : Computers
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The development of the internationally standardized language ALGOL has made it possible to prepare procedures which can be used without modification whenever a computer with an ALGOL translator is available. Volume Ia in this series gave details of the restricted version of ALGOL which is to be employed throughout the Handbook, and volume Ib described its implementation on a computer. Each of the subsequent volumes will be devoted to a presentation of the basic algorithms in some specific areas of numerical analysis. This is the first such volume and it was feIt that the topic Linear Algebra was a natural choice, since the relevant algorithms are perhaps the most widely used in numerical analysis and have the advantage of forming a weil defined dass. The algorithms described here fall into two main categories, associated with the solution of linear systems and the algebraic eigenvalue problem respectively and each set is preceded by an introductory chapter giving a comparative assessment.