Some Mathematical Algorithms and Problems in GAMS Technology

Neculai Andrei
Additional contact information
Neculai Andrei: National Research Institute for Informatics

Chapter Chapter 3 in Nonlinear Optimization Applications Using the GAMS Technology, 2013, pp 25-47 from Springer

Abstract: Abstract In this chapter we present some mathematical problems expressed and solved using the GAMS technology. The applications include computing the inverse of a matrix, the determinant, and the rank of real or complex matrices, solving algebraic systems of real or complex linear equations, determining the polygon of maximal area among all polygons with a given number of sides and diameter less than or equal to one, computing the smallest circle that contains a given number of points, maximizing the area of a hexagon in which the diameter must be less than or equal to one, solving minimal surface problems, generating and prime numbers. The purpose of this chapter is to illustrate the power of the GAMS language with an emphasis on the use of loops, while and dynamic definition of sets.

Keywords: Gaming Technology; Complex Linear Algebraic Equations; Dynamic Definition; Minimal Surface Problem; Maximum Area (search for similar items in EconPapers)
Date: 2013
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4614-6797-7_3

Ordering information: This item can be ordered from
http://www.springer.com/9781461467977

DOI: 10.1007/978-1-4614-6797-7_3

Access Statistics for this chapter

More chapters in Springer Optimization and Its Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().