Abstract
The performance of the most recently developed unidimensional search schemes coupled with three quadratically convergent algorithms is evaluated through nonquadratic examples. The quadratic convergent algorithms are the rank-one algorithm (Algorithm I), the projection algorithm (Algorithm II) and the Fletcher-Reeves algorithm (Algorithm III). The new search schemes are the exact arithmetic mean (EAM) search, the exact harmonic mean (EHM) search, the exact geometric mean (EGM) search. These are evaluated against the well-known unidimensional searches viz., exact root-mean-square (ERMS) search, the golden section (GOLD) search, the exact quadratic interpolation (EQUA) search, the exact cubic interpolation (ECUB) search and the approximate arithmetic mean (AAM) search, the approximate harmonic mean (AHM) search, the approximate geometric (AGM) search against the approximate root mean square (ARMS) search, the approximate quadratic interpolation (AQUA) search and the approximate cubic interpolation (ACUB) sea...
Published Version
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