Non-linear programming: a basic introduction

by Shah, Nita H.

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Title Statements

Full title :Non-linear programming : a basic introduction / Nita H. Shah and Poonam Prakash Mishra.

Summary

"This book is for beginners who are struggling to understand and optimize non-linear problems. The content will help readers gain an understanding and learn how to formulate real-world problems and will also give insight to many researchers for their future prospects. It proposes a mind map for conceptual understanding and includes sufficient solved examples for reader comprehension. The theory is explained in a lucid way. The variety of examples are framed to raise the thinking level of the reader and the formulation of real-world problems are included in the last chapter along with applications. The book is self-explanatory, well synchronized and written for undergraduate, post graduate and research scholars"--

Edition Statements

Publication Date:2021.
Edition:First edition

Publication Statements

Publisher(s):CRC Press, Taylor & Francis Group
Place of Publication:Boca Raton, FL
Language:eng
Publication Date:2021.

The Physical Object

Description:1 online resource.

Edition Identifiers

ISBN:9781003105213, 1003105211, 9781000339956, 1000339955, 1000339912, 9781000339932, 1000339939, 9781000339918, 036761328X, 9780367613280
DOI:10.1201/9781003105213
oclc:on1198086243
LC Classification:T57.8
Dewey Decimal:519.7/6

Cover -- Half Title -- Series Information -- Title Page -- Copyright Page -- Table of contents -- Preface -- Acknowledgement -- Author/Editor Biographies -- 1 One-Dimensional Optimization Problem -- 1.1 Introduction -- 1.2 Analytical Approach -- 1.3 Search Techniques -- 1.3.1 Unrestricted Search Technique -- 1.3.2 Exhaustive Search Technique -- 1.3.3 Dichotomous Search Technique -- 1.3.4 Fibonacci Search Method -- 1.3.5 Golden Section Search Method -- 1.3.6 Interpolation Method (Without Using Derivative) -- 1.3.6.1 Quadratic Interpolation -- 1.3.6.2 Cubic Interpolation

1.4 Gradient-Based Approach -- 1.4.1 Newton Method -- 1.4.2 Secant Method -- Try Yourself -- 2 Unconstrained Multivariable Optimization -- 2.1 Introduction -- 2.2 Direct Search Methods -- 2.2.1 Random Search Method -- 2.2.2 Grid Search Method -- 2.2.3 Univariate Search Method -- 2.2.4 Pattern Search Algorithm -- 2.2.4.1 Hooke-Jeeves Method -- 2.2.4.2 Powell's Method -- 2.2.5 Simplex Algorithm -- 2.3 Gradient-Based Methods -- 2.3.1 Using Hessian Matrix -- 2.3.2 Steepest Descent Method -- 2.3.3 Newton's Method -- 2.3.4 Quasi Method -- Try Yourself -- 3 Constrained Multivariable Optimization

3.1 Introduction -- 3.2 C…