Abstract

A new kernel function is introduced in Mathematical Optimization. This function is called the dislocation hyperbolic kernel function. It is based on the dislocation hyperbolic function. Finally we present some applications of this new function.

Author information

Contact details are reproduced from the original publication and may be historical.

Lennin Mallma Ramirez

Systems Engineering and Computer Science Program, Federal University of Rio de Janeiro, Rio de Janeiro, Brazil

lenninmr@gmail.com

Nelson Maculan

Systems Engineering and Computer Science Program, Federal University of Rio de Janeiro, Rio de Janeiro, Brazil

maculan@cos.ufrj.br

Adilson Elias Xavier

Systems Engineering and Computer Science Program, Federal University of Rio de Janeiro, Rio de Janeiro, Brazil

adilson.xavier@gmail.com

Vinicius Layter Xavier

Institute of Mathematics and Statistics, Rio de Janeiro State University, Rio de Janeiro, Brazil

Keywords

  • Dislocation hyperbolic function
  • Fenchel conjugate
  • kernel function
  • self-concordant

Mathematics Subject Classification

46N10

Suggested citation

L. M. Ramirez, N. Maculan, A. E. Xavier, V. L. Xavier. “Dislocation Hyperbolic Kernel Function.” Journal of Convex Analysis 31 (2024), No. 3, 1021–1034. https://doi.org/10.68381/jca31049

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Published by Heldermann Verlag, 2024. Rights now held by Banach Press.