Evaluating derivatives: principles and techniques of algorithmic differentiation (Record no. 62433)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02667 a2200265 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 250607b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780898716597 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.33 GRI |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Griewank, Andreas |
| 245 ## - TITLE STATEMENT | |
| Title | Evaluating derivatives: principles and techniques of algorithmic differentiation |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 2nd ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc | Philadelphia: |
| Name of publisher, distributor, etc | Society for Industrial and Applied Mathematics, |
| Date of publication, distribution, etc | 2008. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xix, 438 p.: |
| Other physical details | pbk.: |
| Dimensions | 26 cm. |
| 490 ## - SERIES STATEMENT | |
| Series statement | Other Titles in Applied Mathematics; |
| Volume number/sequential designation | 105 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes Bibliographical References and Index |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | Algorithmic, or automatic, differentiation (AD) is a growing area of theoretical research and software development concerned with the accurate and efficient evaluation of derivatives for function evaluations given as computer programs. The resulting derivative values are useful for all scientific computations that are based on linear, quadratic, or higher order approximations to nonlinear scalar or vector functions.<br/><br/>AD has been applied in particular to optimization, parameter identification, nonlinear equation solving, the numerical integration of differential equations, and combinations of these. Apart from quantifying sensitivities numerically, AD also yields structural dependence information, such as the sparsity pattern and generic rank of Jacobian matrices. The field opens up an exciting opportunity to develop new algorithms that reflect the true cost of accurate derivatives and to use them for improvements in speed and reliability.<br/><br/>This second edition has been updated and expanded to cover recent developments in applications and theory, including an elegant NP completeness argument by Uwe Naumann and a brief introduction to scarcity, a generalization of sparsity. There is also added material on checkpointing and iterative differentiation. To improve readability the more detailed analysis of memory and complexity bounds has been relegated to separate, optional chapters. The book consists of three parts: a stand-alone introduction to the fundamentals of AD and its software; a thorough treatment of methods for sparse problems; and final chapters on program-reversal schedules, higher derivatives, nonsmooth problems and iterative processes. Each of the 15 chapters concludes with examples and exercises.<br/><br/>https://epubs.siam.org/doi/book/10.1137/1.9780898717761 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Differential Calculus |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Algorithmic Differentiation |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Computation of Derivatives |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Chain Rule |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Computational Graph |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Walther, Andrea |
| Relator term | Co-author |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Item type | Books |
| Source of classification or shelving scheme | Dewey Decimal Classification |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Collection code | Home library | Current library | Date acquired | Source of acquisition | Cost, normal purchase price | Total Checkouts | Full call number | Barcode | Date last seen | Date last borrowed | Copy number | Cost, replacement price | Koha item type |
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| Dewey Decimal Classification | General | IIT Gandhinagar | IIT Gandhinagar | 06/06/2025 | CBS Publishers | 7820.51 | 1 | 515.33 GRI | 035846 | 04/12/2025 | 20/06/2025 | 1 | 7820.51 | Books |