UID:
almafu_9960119531802883
Format:
1 online resource (xviii, 768 pages) :
,
digital, PDF file(s).
ISBN:
0-511-83689-9
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1-107-38618-7
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0-511-61086-6
Content:
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.
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
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Introduction --
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Problems, algorithms, and solutions --
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Transformation of problems --
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Linear simultaneous equations.
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Case studies --
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Algorithms --
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Non-linear simultaneous equations.
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Case studies --
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Algorithms --
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Solution of the case studies --
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Unconstrained optimization.
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Case studies --
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Algorithms --
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Solution of the case studies --
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Equality-constrained optimization.
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Case studies --
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Algorithms for linear constraints --
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Algorithms for non-linear constraints --
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Inequality-constrained optimization.
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Case studies --
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Algorithms for non-negativity constraints --
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Algorithms for linear constraints.
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English
Additional Edition:
ISBN 0-521-10028-3
Additional Edition:
ISBN 0-521-85564-0
Language:
English
URL:
https://doi.org/10.1017/CBO9780511610868
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