Numerical engineering optimization

✍ Scribed by Ochsner A., Makvandi R

• Publisher: Springer
• Year: 2020
• Tongue: English
• Leaves: 232
• Category: Library

✦ Table of Contents

Preface......Page 5
Contents......Page 6
1.1 Optimization Problems......Page 8
1.2 Maxima—A Computer Algebra System......Page 9
References......Page 21
2.1 Golden Section Algorithm......Page 22
2.2 Brute-Force or Exhaustive Search Algorithm......Page 26
2.3 Newton's Method......Page 38
2.4 Supplementary Problems......Page 50
References......Page 52
3.1 The Exterior Penalty Function Method......Page 53
3.2 The Interior Penalty Function Method......Page 74
3.3 Supplementary Problems......Page 88
References......Page 90
4.1 General Introduction to the Unconstrained Multidimensional Optimization Problem......Page 91
4.2 First-Order Methods......Page 98
4.3 Second-Order Methods......Page 105
References......Page 113
5.1 General Introduction to the Constrained Multidimensional Optimization Problem......Page 115
5.2 The Exterior Penalty Function Method......Page 117
5.3 Supplementary Problems......Page 122
References......Page 132
6.1 Problems from Chapter2摥映數爠eflinkchap:Unconstsps1D22......Page 133
6.2 Problems from Chapter 3摥映數爠eflinkchap:Constsps1D33......Page 143
6.3 Problems from Chapter 4摥映數爠eflinkchap:UnconstrainedspsFspsv44......Page 158
6.4 Problems from Chapter 5摥映數爠eflinkchap:ConstrainedspsFspsv55......Page 159
References......Page 197
7 Maxima Source Codes......Page 198
Index......Page 231