Evaluating derivatives: principles and techniques of algorithmic differentiation (Record no. 62433)

MARC details
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
Holdings
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
    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


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