Special Issue "Numerical Methods for Mathematical Programming Problems"

A special issue of Mathematics (ISSN 2227-7390).

Deadline for manuscript submissions: 31 March 2021.

Special Issue Editor

Prof. Dr. Hsien-Chung Wu
Website
Guest Editor
Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 802, Taiwan
Interests: fuzzy optimization; fuzzy real analysis; fuzzy statistical analysis; operations research; computational intelligence; soft computing; fixed point theory; applied functional analysis
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Special Issue Information

Dear Colleagues,

Using different numerical methods for solving mathematical programming problems is a branch of mathematical programming. Because of the growing use of optimization in practical problems, almost all problems in science, engineering, and economics can be formulated as mathematical problems in which the computational techniques based on mathematical analysis are frequently designed to solve those problems. Studying the approximate solutions of mathematical programming problems with the presence of computational errors and the convergent behavior of algorithms are important issues. However, some of the problems are very hard to be solved using the approaches of mathematical analysis. In this case, the natural computing inspiration like genetic algorithms, ant colony optimization, particle swarm optimization, artificial immune systems, etc. play the important tools to solve hard mathematical programming problems for the purpose of generating the near-optimal solutions. The topics of this Special Issue include, but are not limited to the following:

  • Variants of Newton methods
  • Interior-point Method
  • Conjugate gradient method
  • Proximal point method
  • Predictor-corrector method
  • Trust-region method
  • Simulation-based optimization
  • Genetic algorithms
  • Ant colony optimization
  • Particle swarm optimization
  • Artificial immune systems

Prof. Dr. Hsien-Chung Wu
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1200 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • Convergence analysis
  • Gradient and subgradient
  • Nonsmooth optimization
  • Nondifferentiability and sub-differentiability
  • Near-optimal solution
  • Simulated annealing

Published Papers

This special issue is now open for submission.
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