Abstract
In this short paper, we recall the use of squared slacks used to transform inequality constraints into equalities and several reasons why their introduction may be harmful in many algorithmic frameworks routinely used in nonlinear programming. Numerical examples performed with the sequential quadratic programming method illustrate those reasons. Our results are reproducible with state-of-the-art implementations of the methods concerned and mostly serve a pedagogical purpose, which we believe will be useful not only to practitioners and students, but also to researchers.
Keywords
Publication details
- DOI
- 10.24200/squjs.vol17iss1pp22-29
- Journal
- Sultan Qaboos University Journal for Science, 16, 22
- Publisher
- Sultan Qaboos University
- Open access
- Gold open access
- License
- CC BY 4.0
Cite this article
APA 7
Armand, P., & Orban, D. (2012). The Squared Slacks Transformation in Nonlinear Programming. Sultan Qaboos University Journal for Science, 16, 22. https://doi.org/10.24200/squjs.vol17iss1pp22-29
MLA 9
Armand, Paul, and Dominique Orban. "The Squared Slacks Transformation in Nonlinear Programming." Sultan Qaboos University Journal for Science, vol. 16, 2012, pp. 22. https://doi.org/10.24200/squjs.vol17iss1pp22-29.
Chicago (author–date)
Armand, Paul, and Dominique Orban. 2012. "The Squared Slacks Transformation in Nonlinear Programming." Sultan Qaboos University Journal for Science 16: 22. https://doi.org/10.24200/squjs.vol17iss1pp22-29.
Harvard
Armand, P. and Orban, D. (2012) 'The Squared Slacks Transformation in Nonlinear Programming', Sultan Qaboos University Journal for Science, 16, pp. 22. doi:10.24200/squjs.vol17iss1pp22-29.
Vancouver
Armand P, Orban D. The Squared Slacks Transformation in Nonlinear Programming. Sultan Qaboos University Journal for Science. 2012;16:22. doi:10.24200/squjs.vol17iss1pp22-29
IEEE
P. Armand, and D. Orban, "The Squared Slacks Transformation in Nonlinear Programming," Sultan Qaboos University Journal for Science, vol. 16, pp. 22, 2012, doi: 10.24200/squjs.vol17iss1pp22-29.