DocumentCode :
1182352
Title :
Three-point iterations derived from exponential curve fitting
Author :
Ridders, C. J F
Volume :
26
Issue :
8
fYear :
1979
fDate :
8/1/1979 12:00:00 AM
Firstpage :
669
Lastpage :
670
Abstract :
Three-point Iterative methods make use of an approximating function, 
of 
which functions have three 
and 
values in common. Some functions give an analytic expression in when 
can be a hyperbolic function, a quadratic polynomial, or an exponential function. In this paper it is demonstrated that the hyperbolic function is a special case, derived from the exponential function. The condition for convergence and the rate of convergence are discussed. A comparison by means of some examples is made with the hyperbolic function and with the method of Jarratt and Nudds which is a modification of the hyperbolic approximation.
of which functions have three and values in common. Some functions give an analytic expression in when can be a hyperbolic function, a quadratic polynomial, or an exponential function. In this paper it is demonstrated that the hyperbolic function is a special case, derived from the exponential function. The condition for convergence and the rate of convergence are discussed. A comparison by means of some examples is made with the hyperbolic function and with the method of Jarratt and Nudds which is a modification of the hyperbolic approximation.Keywords :
Approximation methods; Poles and zeros; Circuits; Convergence; Curve fitting; Iterative methods;
fLanguage :
English
Journal_Title :
Circuits and Systems, IEEE Transactions on
Publisher :
ieee
ISSN :
0098-4094
Type :
jour
DOI :
10.1109/TCS.1979.1084682
Filename :
1084682
Link To Document :
