Fundamental Engineering Optimization Methods
Publisher: Bookboon.com
Published: 2013
ISBN-13: 9788740304893
Table of contents: title: Sisältö; title: Preface; title: Engineering Design Optimization; title: Introduction; title: Optimization Examples in Science and Engineering; title: Notation; title: Mathematical Preliminaries; title: Set Definitions; title: Function Definitions; title: Taylor Series Approximation; title: Gradient Vector and Hessian Matrix; title: Convex Optimization Problems; title: Vector and Matrix Norms; title: Matrix Eigenvalues and Singular Values; title: Quadratic Function Forms; title: Linear Systems of Equations; title: Linear Diophantine System of Equations; title: Condition Number and Convergence Rates; title: Conjugate-Gradient Method for Linear Equations; title: Newton’s Method for Nonlinear Equations; title: Graphical Optimization; title: Functional Minimization in One-Dimension; title: Graphical Optimization in Two-Dimensions; title: Mathematical Optimization; title: The Optimization Problem; title: Optimality criteria for the Unconstrained Problems; title: Optimality Criteria for the Constrained Problems; title: Optimality Criteria for General Optimization Problems; title: Postoptimality Analysis; title: Lagrangian Duality; title: Linear Programming Methods; title: The Standard LP Problem; title: The Basic Solution to the LP Problem; title: The Simplex Method; title: Postoptimality Analysis; title: Duality Theory for the LP Problems; title: Non-Simplex Methods for Solving LP Problems; title: Optimality Conditions for LP Problems; title: The Quadratic Programming Problem; title: The Linear Complementary Problem; title: Discrete Optimization; title: Discrete Optimization Problems; title: Solution Approaches to Discrete Problems; title: Linear Programming Problems with Integral Coefficients; title: Integer Programming Problems; title: Numerical Optimization Methods; title: The Iterative Method; title: Computer Methods for Solving the Line Search Problem; title: Computer Methods for Finding the Search Direction; title: Computer Methods for Solving the Constrained Problems; title: Sequential Linear Programming; title: Sequential Quadratic Programming; title: References