Introduction

H. A. Eiselt and Carl-Louis Sandblom
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H. A. Eiselt: University of New Brunswick
Carl-Louis Sandblom: Dalhousie University

Chapter Chapter 1 in Nonlinear Optimization, 2019, pp 1-23 from Springer

Abstract: 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.

Date: 2019
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DOI: 10.1007/978-3-030-19462-8_1

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