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Introduction to sensitivity and stability analysis in nonlinear programming /
Introduction to sensitivity and stability analysis in nonlinear programming.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Academic Press,
1983.
|
| Colección: | Mathematics in science and engineering ;
v. 165. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo Texto completo |
MARC
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| 008 | 090320s1983 nyu ob 001 0 eng d | ||
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| 100 | 1 | |a Fiacco, Anthony V. | |
| 245 | 1 | 0 | |a Introduction to sensitivity and stability analysis in nonlinear programming / |c Anthony V. Fiacco. |
| 260 | |a New York : |b Academic Press, |c 1983. | ||
| 300 | |a 1 online resource (xii, 367 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Mathematics in science and engineering ; |v v. 165 | |
| 504 | |a Includes bibliographical references and indexes. | ||
| 588 | 0 | |a Print version record. | |
| 506 | |3 Use copy |f Restrictions unspecified |2 star |5 MiAaHDL | ||
| 533 | |a Electronic reproduction. |b [Place of publication not identified] : |c HathiTrust Digital Library, |d 2010. |5 MiAaHDL | ||
| 538 | |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |u http://purl.oclc.org/DLF/benchrepro0212 |5 MiAaHDL | ||
| 583 | 1 | |a digitized |c 2010 |h HathiTrust Digital Library |l committed to preserve |2 pda |5 MiAaHDL | |
| 505 | 0 | |a Front Cover; Introduction to Sensitivity and Stability Analysis in Nonlinear Programming; Copyright Page; Contents; Preface; PART I: Overview; Chapter 1. Motivation and Perspective; Chapter 2. Basic Sensitivity and Stability Results; 2.1 Introduction; 2.2 Objective Function and Solution Set Continuity; 2.3 Differential Stability; 2.4 Implicit Function Theorem Results; 2.5 Optimal Value and Solution Bounds; 2.6 General Results from RHS Results; 2.7 Summary; PART II: Theory and Calculation of Solution Parameter Derivatives; Chapter 3. Sensitivity Analysis under Second- Order Assumptions | |
| 505 | 8 | |a 3.1 Introduction3.2 First-Order Sensitivity Analysis of a Second-Order Local Solution; 3.3 Examples; 3.4 First- and Second-Order Parameter Derivatives of the Optimal Value Function; Chapter 4. Computational Aspects of Sensitivity Calculations: The General Problem; 4.1 Introduction; 4.2 Formulas for the Parameter First Derivatives of a Karush-Kuhn-Tucker Triple; 4.3 Applications and Examples; Chapter 5. Computational Aspects: RHS Perturbations; 5.1 Introduction; 5.2 The Use and Initial Interpretation of Lagrange Multipliers | |
| 505 | 8 | |a 5.3 Examples of Early Sensitivity Interpretations of Lagrange Multipliers5.4 Supporting Theory; 5.5 Formulas for the Parameter First Derivatives of a Karush-Kuhn-Tucker Triple and Second Derivatives of the Optimal Value Function; 5.6 Examples and Applications; PART III: Algorithmic Approximations; Chapter 6. Estimates of Sensitivity Information Using Penalty Functions; 6.1 Introduction; 6.2 Approximation of Sensitivity Information Using the Logarithmic- Quadratic Mixed Barrier-Penalty Function Method; 6.3 Examples of Estimates of Solution Point and Lagrange Multiplier Parameter Derivatives | |
| 505 | 8 | |a 6.4 Extensions6.5 Sensitivity Calculations Based on the Perturbed Karush-Kuhn-Tucker System; 6.6 Optimal Value Function Sensitivity Estimates; 6.7 Example of Estimates of Optimal Value and First- and Second- Parameter Derivatives; 6.8 Sensitivity Approximations for RHS Perturbations; 6.9 Recapitulation; Chapter 7. Calculation of Sensitivity Information Using Other Algorithms; 7.1 Introduction; 7.2 Connections between Algorithmic and Sensitivity Calculations; 7.3 Algorithmic Calculations of the Inverse of the Jacobian of the Karush-Kuhn-Tucker System | |
| 505 | 8 | |a 7.4 Sensitivity Results for Augmented Lagrangians7.5 Conclusions and Extensions; PART IV: Applications and Future Research; Chapter 8. An Example of Computational Implementations: A Multi-Item Continuous Review Inventory Model; 8.1 Introduction; 8.2 Screening of Sensitivity Information; 8.3 Example Sensitivity Calculations by SENSUMT; 8.4 A Multi-Item Inventory Model; 8.5 Additional Computational Experience with Applications; Chapter 9. Computable Optimal Value Bounds and Solution Vector Estimates for Parametric NLP Programs; 9.1 Introduction | |
| 520 | |a Introduction to sensitivity and stability analysis in nonlinear programming. | ||
| 650 | 0 | |a Nonlinear programming. | |
| 650 | 6 | |a Programmation non lin�eaire. |0 (CaQQLa)201-0031193 | |
| 650 | 7 | |a MATHEMATICS |x Linear & Nonlinear Programming. |2 bisacsh | |
| 650 | 7 | |a Nonlinear programming |2 fast |0 (OCoLC)fst01038808 | |
| 653 | |a Nonlinear programming | ||
| 776 | 0 | 8 | |i Print version: |a Fiacco, Anthony V. |t Introduction to sensitivity and stability analysis in nonlinear programming. |d New York : Academic Press, 1983 |z 9780122544507 |w (DLC) 82011642 |w (OCoLC)8667936 |
| 830 | 0 | |a Mathematics in science and engineering ; |v v. 165. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780122544507 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/publication?issn=00765392&volume=165 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/bookseries/00765392/165 |z Texto completo |