Abstract
Numerical search methods are widely used to solve nonlinear programming problems. This chapter discusses various gradient and nongradient numerical search methods that have wide engineering applications. Various one-dimensional gradient search methods and polynomial approximation methods that are effective in practice are discussed with examples of nonlinear optimization problems. Multivariable gradient search methods and multivariable nongradient search methods have wide applications in solving optimization problems in different domains. Various search methods used to solve multidimensional optimization problems are discussed with solution strategies and applications of nonlinear programming problems.
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