Computing Best lp Approximations by Functions Nonlinear in One Parameter | Zendy

I. Barrodale | Zendy; F. D. K. Roberts | Zendy; C. R. Hunt | Zendy

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Computing Best lp Approximations by Functions Nonlinear in One Parameter

Author(s) -

I. Barrodale,

F. D. K. Roberts,

C. R. Hunt

Publication year - 1970

Publication title -

the computer journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.319

H-Index - 64

eISSN - 1460-2067

pISSN - 0010-4620

DOI - 10.1093/comjnl/13.4.382

Subject(s) - approximations of π , nonlinear system , mathematics , computer science , physics , quantum mechanics

This paper describes an algorithm for computing best l\, k and /(D approximations to discrete data, by functions of several parameters which depend nonlinearly on just one of these parameters. Such functions (e.g. «i + a2ef , a\ + a2 sin ex, (ai + a2x)l(l + ex)) often occur in practice, and a numerical study confirms that it is feasible to compute best approximations in any of the above norms when using these functions. Some remarks on the theory of best h approximations by these functions are included.

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