Contrasting Two Transformation-based Methods for Obtaining Absolute Extrema

2007/04/03 by Delfim F. M. Torres, D. F. M. Torres, George Leitmann +1 · 2 citations
Computer Science · Mathematics · #Mathematical and Computational Methods #Mathematical functions and polynomials #Numerical Methods and Algorithms #math.OC #msc:49J15 #msc:49M30

paper · pdf · doi:10.1007/s10957-007-9292-z

published as J. Optim. Theory Appl. 137 (2008), no. 1, 53--59 · 9 pages

arxiv created 2007/04/03 · openalex publication_date 2007/10/29 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this note we contrast two transformation-based methods to deduce absolute extrema and the corresponding extremizers. Unlike variation-based methods, the transformation-based ones of Carlson and Leitmann and the recent one of Silva and Torres are direct in that they permit obtaining solutions by inspection.

Cited by

• Fractional Noether’s theorem in the Riesz–Caputo sense
• Leitmann’s direct method of optimization for absolute extrema of certain problems of the calculus of variations on time scales

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