The starting point in the formulation of any numerical problem is to take an intuitive idea about the problem in question and to translate it into precise mathematical language. This book provides step-by-step descriptions of how to formulate numerical problems and develops techniques for solving them. A number of engineering case studies motivate the development of efficient algorithms that involve, in some cases, transformation of the problem from its initial formulation into a more tractable form. Five general problem classes are considered: linear systems of equations, non-linear systems of equations, unconstrained optimization, equality-constrained optimization and inequality-constrained optimization. The book contains many worked examples and homework exercises and is suitable for students of engineering or operations research taking courses in optimization. Supplementary material including solutions, lecture slides and appendices are available online at www.cambridge.org/9780521855648.
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- Date Published: January 2009
- format: Paperback
- isbn: 9780521100281
- length: 792 pages
- dimensions: 244 x 170 x 40 mm
- weight: 1.24kg
- contains: 180 b/w illus. 369 exercises
- availability: Available
Table of Contents
List of illustrations
2. Problems, algorithms and solutions
3. Transformation of problems
Part I: Linear simultaneous equations
4. Case studies
Part II: Non-linear simultaneous equations
6. Case Studies
8. Solution of the case studies
Part III: Unconstrained optimization
9. Case studies
11. Solution of the case studies
Part IV: Equality-constrained optimization
12. Case studies
13. Algorithms for linear constraints
14. Algorithms for non-linear constraints
Part V: Inequality-constrained optimization
15. Case studies
16. Algorithms for non-negativity constraints
17. Algorithms for linear constraints
18. Solution of the linearly constrained case studies
19. Algorithms for non-linear constraints
20. Solution of the non-linearly constrained case studies
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