Applied optimization: formulation and algorithms for engineering systems
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 th...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2006
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| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 URL des Erstveröffentlichers |
| Zusammenfassung: | 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 |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xviii, 768 pages) |
| ISBN: | 9780511610868 |
| DOI: | 10.1017/CBO9780511610868 |
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| 505 | 8 | 0 | |g 1 |t Introduction |g 2 |t Problems, algorithms, and solutions |g 3 |t Transformation of problems |g pt. I. |g 4 |t Linear simultaneous equations |t Case studies |g 5 |t Algorithms |g pt. II. |g 6 |t Non-linear simultaneous equations |t Case studies |g 7 |t Algorithms |g 8 |t Solution of the case studies |g pt. III. |g 9 |t Unconstrained optimization |t Case studies |g 10 |t Algorithms |g 11 |t Solution of the case studies |g pt. IV. |g 12 |t Equality-constrained optimization |t Case studies |g 13 |t Algorithms for linear constraints |g 14 |t Algorithms for non-linear constraints |g pt. V. |g 15 |t Inequality-constrained optimization |t Case studies |g 16 |t Algorithms for non-negativity constraints |g 17 |t Algorithms for linear constraints |
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Datensatz im Suchindex
| _version_ | 1804176886346022912 |
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| any_adam_object | |
| author | Baldick, Ross |
| author_facet | Baldick, Ross |
| author_role | aut |
| author_sort | Baldick, Ross |
| author_variant | r b rb |
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| bvnumber | BV043942926 |
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| contents | Introduction Problems, algorithms, and solutions Transformation of problems Linear simultaneous equations Case studies Algorithms Non-linear simultaneous equations Solution of the case studies Unconstrained optimization Equality-constrained optimization Algorithms for linear constraints Algorithms for non-linear constraints Inequality-constrained optimization Algorithms for non-negativity constraints |
| ctrlnum | (ZDB-20-CBO)CR9780511610868 (OCoLC)850699292 (DE-599)BVBBV043942926 |
| dewey-full | 620.0011 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620.0011 |
| dewey-search | 620.0011 |
| dewey-sort | 3620.0011 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511610868 |
| format | Electronic eBook |
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| id | DE-604.BV043942926 |
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| indexdate | 2024-07-10T07:39:18Z |
| institution | BVB |
| isbn | 9780511610868 |
| language | English |
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| spelling | Baldick, Ross Verfasser aut Applied optimization formulation and algorithms for engineering systems Ross Baldick Cambridge Cambridge University Press 2006 1 online resource (xviii, 768 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) 1 Introduction 2 Problems, algorithms, and solutions 3 Transformation of problems pt. I. 4 Linear simultaneous equations Case studies 5 Algorithms pt. II. 6 Non-linear simultaneous equations Case studies 7 Algorithms 8 Solution of the case studies pt. III. 9 Unconstrained optimization Case studies 10 Algorithms 11 Solution of the case studies pt. IV. 12 Equality-constrained optimization Case studies 13 Algorithms for linear constraints 14 Algorithms for non-linear constraints pt. V. 15 Inequality-constrained optimization Case studies 16 Algorithms for non-negativity constraints 17 Algorithms for linear constraints 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 Systems engineering Mathematical optimization Optimierung (DE-588)4043664-0 gnd rswk-swf Technisches System (DE-588)4126276-1 gnd rswk-swf Numerisches Modell (DE-588)4338132-7 gnd rswk-swf Systemtechnik (DE-588)4140901-2 gnd rswk-swf Technisches System (DE-588)4126276-1 s Numerisches Modell (DE-588)4338132-7 s Optimierung (DE-588)4043664-0 s 1\p DE-604 Systemtechnik (DE-588)4140901-2 s 2\p DE-604 Erscheint auch als Druckausgabe 978-0-521-10028-1 Erscheint auch als Druckausgabe 978-0-521-85564-8 https://doi.org/10.1017/CBO9780511610868 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Baldick, Ross Applied optimization formulation and algorithms for engineering systems Introduction Problems, algorithms, and solutions Transformation of problems Linear simultaneous equations Case studies Algorithms Non-linear simultaneous equations Solution of the case studies Unconstrained optimization Equality-constrained optimization Algorithms for linear constraints Algorithms for non-linear constraints Inequality-constrained optimization Algorithms for non-negativity constraints Systems engineering Mathematical optimization Optimierung (DE-588)4043664-0 gnd Technisches System (DE-588)4126276-1 gnd Numerisches Modell (DE-588)4338132-7 gnd Systemtechnik (DE-588)4140901-2 gnd |
| subject_GND | (DE-588)4043664-0 (DE-588)4126276-1 (DE-588)4338132-7 (DE-588)4140901-2 |
| title | Applied optimization formulation and algorithms for engineering systems |
| title_alt | Introduction Problems, algorithms, and solutions Transformation of problems Linear simultaneous equations Case studies Algorithms Non-linear simultaneous equations Solution of the case studies Unconstrained optimization Equality-constrained optimization Algorithms for linear constraints Algorithms for non-linear constraints Inequality-constrained optimization Algorithms for non-negativity constraints |
| title_auth | Applied optimization formulation and algorithms for engineering systems |
| title_exact_search | Applied optimization formulation and algorithms for engineering systems |
| title_full | Applied optimization formulation and algorithms for engineering systems Ross Baldick |
| title_fullStr | Applied optimization formulation and algorithms for engineering systems Ross Baldick |
| title_full_unstemmed | Applied optimization formulation and algorithms for engineering systems Ross Baldick |
| title_short | Applied optimization |
| title_sort | applied optimization formulation and algorithms for engineering systems |
| title_sub | formulation and algorithms for engineering systems |
| topic | Systems engineering Mathematical optimization Optimierung (DE-588)4043664-0 gnd Technisches System (DE-588)4126276-1 gnd Numerisches Modell (DE-588)4338132-7 gnd Systemtechnik (DE-588)4140901-2 gnd |
| topic_facet | Systems engineering Mathematical optimization Optimierung Technisches System Numerisches Modell Systemtechnik |
| url | https://doi.org/10.1017/CBO9780511610868 |
| work_keys_str_mv | AT baldickross appliedoptimizationformulationandalgorithmsforengineeringsystems |