InhaltsangabePreface to the Second Edition. Preface. Chapter 1: Introduction. 1.1 Optimization Fundamentals. 1.2 Introduction to MATLAB. Problems. Chapter 2: Graphical Optimization. 2.1 Problem Definition. 2.2 Graphical Solution. 2.3 Additional Examples. 2.4 Additional MATLAB Graphics. References. Problems. Chapter 3: Linear Programming. 3.1 Problem Definition. 3.2 Graphical Solution. 3.3 Numerical Solution - The Simplex Method. 3.4 Additional Examples. 3.5.Additional Topics in Linear Programming. References. Problems. Chapter 4: Nonlinear Programming. 4.1 Problem Definition. 4.2 Mathematical Concepts. 4.3 Analytical Conditions. 4.4 Examples. 4.5 Additional Topics. References. Problems. Chapter 5: Numerical Techniques - The One Dimensional Problem. 5.1 Problem Definition. 5.2 Numerical Techniques. 5.3 Importance of the One Dimensional Problem. 5.4 Additional Examples. References. Problems. Chapter 6: Numerical Techniques for Unconstrained Optimization. 6.1 Problem Definition. 6.2 Numerical Techniques: Non Gradient Methods. 6.3 Numerical Technique: Gradient Based Methods. 6.4 Numerical Technique: Second Order. 6.5 Additional Examples. 6.6 Summary. References. Problems. Chapter 7: Numerical Techniques for Constrained Optimization. 7.1 Problem Definition. 7.2 Indirect Methods for Constrained Optimization. 7.3 Direct Methods for Constrained Optimization. 7.4 Additional Examples. References. Problems. Chapter 8: Discrete Optimization. 8.1 Concepts in Discrete Programming. 8.2 Discrete Optimization Techniques. 8.3 Additional Examples. References. Problems. Chapter 9: Global Optimization. 9.1 Problem Definition. 9.2 Numerical Techniques and Additional Examples. References. Problems. Chapter 10: Optimization Toolbox from MATLAB. 10.1 The Optimization Toolbox. 10.2 Examples. References. Chapter 11: Hybrid Mathematics: An Application of. 11.1 Central Idea. 11.2 Data Handling Examples. 11.3. Solutions to Differential Systems. 11.4 Summary. References. Index.

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P. Venkataraman, PhD, is an associate professor in the Mechanical Engineering Department, Rochester Institute of Technology, Rochester, New York.

Leseprobe

Preface to the Second Edition. Preface. Chapter 1: Introduction. 1.1 Optimization Fundamentals. 1.2 Introduction to MATLAB. Problems. Chapter 2: Graphical Optimization. 2.1 Problem Definition. 2.2 Graphical Solution. 2.3 Additional Examples. 2.4 Additional MATLAB Graphics. References. Problems. Chapter 3: Linear Programming. 3.1 Problem Definition. 3.2 Graphical Solution. 3.3 Numerical Solution - The Simplex Method. 3.4 Additional Examples. 3.5.Additional Topics in Linear Programming. References. Problems. Chapter 4: Nonlinear Programming. 4.1 Problem Definition. 4.2 Mathematical Concepts. 4.3 Analytical Conditions. 4.4 Examples. 4.5 Additional Topics. References. Problems. Chapter 5: Numerical Techniques - The One Dimensional Problem. 5.1 Problem Definition. 5.2 Numerical Techniques. 5.3 Importance of the One Dimensional Problem. 5.4 Additional Examples. References. Problems. Chapter 6: Numerical Techniques for Unconstrained Optimization. 6.1 Problem Definition. 6.2 Numerical Techniques: Non Gradient Methods. 6.3 Numerical Technique: Gradient Based Methods. 6.4 Numerical Technique: Second Order. 6.5 Additional Examples. 6.6 Summary. References. Problems. Chapter 7: Numerical Techniques for Constrained Optimization. 7.1 Problem Definition. 7.2 Indirect Methods for Constrained Optimization. 7.3 Direct Methods for Constrained Optimization. 7.4 Additional Examples. References. Problems. Chapter 8: Discrete Optimization. 8.1 Concepts in Discrete Programming. 8.2 Discrete Optimization Techniques. 8.3 Additional Examples. References. Problems. Chapter 9: Global Optimization. 9.1 Problem Definition. 9.2 Numerical Techniques and Additional Examples. References. Problems. Chapter 10: Optimization Toolbox from MATLAB. 10.1 The Optimization Toolbox. 10.2 Examples. References. Chapter 11: Hybrid Mathematics: An Application of. 11.1 Central Idea. 11.2 Data Handling Examples. 11.3. Solutions to Differential Systems. 11.4 Summary. References. Index.