# Contrasting Two Transformation-Based Methods for Obtaining Absolute   Extrema

**Authors:** Delfim F. M. Torres, George Leitmann

arXiv: 0704.0473 · 2008-03-30

## TL;DR

This paper compares two direct transformation-based methods for finding absolute extrema and extremizers, highlighting their differences from variation-based approaches and emphasizing their inspection-based solution process.

## Contribution

It provides a comparative analysis of Carlson and Leitmann's method and Silva and Torres's method for obtaining absolute extrema directly.

## Key findings

- Both methods allow direct solution by inspection.
- They differ from traditional variation-based methods.
- The paper clarifies the applicability of each method.

## 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.

## Full text

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## References

13 references — full list in the complete paper: https://tomesphere.com/paper/0704.0473/full.md

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Source: https://tomesphere.com/paper/0704.0473