A new high order method of regula falsi type for computing a root of an equation |
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| Authors: | Ned Anderson Åke Björck |
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| Institution: | (1) Computer Science Department, The Royal Institute of Technology, S-100 44 Stockholm 70, Sweden;(2) Department of Mathematics, Linköping University, S-581 83 Linköping, Sweden |
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| Abstract: | A hybrid method of order five (eight) which uses three (four) function evaluations per step is presented together with an algorithm which ensures global convergence. The method is compared with its closest competitors (among globally convergent methods which do not use derivatives) in a series of numerical examples. An ALGOL procedure of the method is included. |
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