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The Computer Journal 1978 21(4):359-362; doi:10.1093/comjnl/21.4.359
© 1978 by British Computer Society
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Comparison of a continuation method with Brent's method for the numerical solution of a single nonlinear equation

A. Swift1 * and G. R. Lindfield2

1 Mathematics Department, Massey University, Palmerston North, New Zealand, 2 Computer Centre, University of Aston in Birmingham, Coleshill Street, Birmingham, UK

A modified version of the Davidenko-Broyden technique is formulated for the computation of a real root of the single nonlinear equation f(x)=0. This is compared with an interval locating search procedure followed by Brent's algorithm, comparison being made solely on the basis of function evaluations.

Received June 1977.

* Now at Mathematics Department, Massey University, Palmerston North, New Zealand

§ Computer Centre, University of Aston in Birmingham, Coleshill Street, Birmingham B4 7PA


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