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Basic Notions and Definitions

In: Basic Mathematical Programming Theory

Author

Listed:
  • Giorgio Giorgi

    (University of Pavia)

  • Bienvenido Jiménez

    (National University of Distance Education)

  • Vicente Novo

    (National University of Distance Education)

Abstract

It is well-known that the central problem of mathematical programming is that of minimizing or maximizing a given numerical function of several variables, where the variables are free to move over the whole domain of the function or (more usually) are constrained by a system of constraints. Mathematical programming, called also nonlinear programming, can be viewed as that field of optimization theory which treats static and finite-dimensional optimization problems. It seems that the term “mathematical programming” was first introduced by the American economist Robert Dorfman in 1949, as a generalization of the term “linear programming”, introduced by the American mathematician George B. Dantzig a couple of years before. The term “nonlinear programming” appears for the first time in 1951 in the title of the famous pioneering paper of Kuhn and Tucker [1].

Suggested Citation

  • Giorgio Giorgi & Bienvenido Jiménez & Vicente Novo, 2023. "Basic Notions and Definitions," International Series in Operations Research & Management Science, in: Basic Mathematical Programming Theory, chapter 0, pages 1-22, Springer.
    • Handle: RePEc:spr:isochp:978-3-031-30324-1_1
    DOI: 10.1007/978-3-031-30324-1_1
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