An edition of Fundamental Engineering Optimization Methods
(2013)
Fundamental Engineering Optimization Methods
by Kamran Iqbal
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This book is addressed to students in the fields of engineering and technology as well as practicing engineers.
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Publish Date
2013
Publisher
Bookboon.com
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Book Details
Table of Contents
Innhold
Preface
Engineering Design Optimization
Introduction
Optimization Examples in Science and Engineering
Notation
Mathematical Preliminaries
Set Definitions
Function Definitions
Taylor Series Approximation
Gradient Vector and Hessian Matrix
Convex Optimization Problems
Vector and Matrix Norms
Matrix Eigenvalues and Singular Values
Quadratic Function Forms
Linear Systems of Equations
Linear Diophantine System of Equations
Condition Number and Convergence Rates
Conjugate-Gradient Method for Linear Equations
Newton’s Method for Nonlinear Equations
Graphical Optimization
Functional Minimization in One-Dimension
Graphical Optimization in Two-Dimensions
Mathematical Optimization
The Optimization Problem
Optimality criteria for the Unconstrained Problems
Optimality Criteria for the Constrained Problems
Optimality Criteria for General Optimization Problems
Postoptimality Analysis
Lagrangian Duality
Linear Programming Methods
The Standard LP Problem
The Basic Solution to the LP Problem
The Simplex Method
Postoptimality Analysis
Duality Theory for the LP Problems
Non-Simplex Methods for Solving LP Problems
Optimality Conditions for LP Problems
The Quadratic Programming Problem
The Linear Complementary Problem
Discrete Optimization
Discrete Optimization Problems
Solution Approaches to Discrete Problems
Linear Programming Problems with Integral Coefficients
Integer Programming Problems
Numerical Optimization Methods
The Iterative Method
Computer Methods for Solving the Line Search Problem
Computer Methods for Finding the Search Direction
Computer Methods for Solving the Constrained Problems
Sequential Linear Programming
Sequential Quadratic Programming
References
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Work Identifiers
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History
- Created November 27, 2015
- 4 revisions
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| August 21, 2020 | Edited by ISBNbot2 | normalize ISBN |
| November 27, 2015 | Edited by Alice Kirk | Edited without comment. |
| November 27, 2015 | Edited by Alice Kirk | Added new cover |
| November 27, 2015 | Created by Alice Kirk | Added new book. |