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Introduction

  • H. A. Eiselt
  • Carl-Louis Sandblom
Chapter
Part of the International Series in Operations Research & Management Science book series (ISOR, volume 282)

Abstract

We begin this chapter with a brief section defining the nonlinear programming problem, introducing some basic terminology, and making some general comments. The second section of this chapter is devoted to a discussion of necessary and sufficient conditions for the existence of local optima of nonlinear functions; first in the one-dimensional case, and then for functions of several variables. The third and final section of this chapter introduces the concept of convexity and relates it to the study of optimization.

References

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • H. A. Eiselt
    • 1
  • Carl-Louis Sandblom
    • 2
  1. 1.Faculty of ManagementUniversity of New BrunswickFrederictonCanada
  2. 2.Department of Industrial EngineeringDalhousie UniversityHalifaxCanada

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