{"product_id":"evaluating-derivatives-principles-and-techniques-of-algorithmic-differentiation-principles-and-techniques-of-algorithmic-differentiation-paperback-softback-9780898716597","title":"Evaluating Derivatives – Principles and Techniques of Algorithmic Differentiation; Principles and Techniques of Algorithmic Differentiation (Paperback \/ softback) 9780898716597","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eEvaluating Derivatives – Principles and Techniques of Algorithmic Differentiation\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003ePrinciples and Techniques of Algorithmic Differentiation\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eA comprehensive treatment of algorithmic, or automatic, differentiation.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eAndreas Griewank (Author), Andrea Walther (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780898716597, Society for Industrial and Applied Mathematics\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 30 September 2008\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e460 pages\u003cbr\u003e22.9 x 15.2 x 2 cm, 0.982 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eAlgorithmic, 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. This second edition covers recent developments in applications and theory, including an elegant NP completeness argument and an introduction to scarcity. 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: 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.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eRules\u003cbr\u003e Preface\u003cbr\u003e Prologue\u003cbr\u003e Mathematical symbols\u003cbr\u003e 1. Introduction\u003cbr\u003e 2. A framework for evaluating functions\u003cbr\u003e 3. Fundamentals of forward and reverse\u003cbr\u003e 4. Memory issues and complexity bounds\u003cbr\u003e 5. Repeating and extending reverse\u003cbr\u003e 6. Implementation and software\u003cbr\u003e 7. Sparse forward and reverse\u003cbr\u003e 8. Exploiting sparsity by compression\u003cbr\u003e 9. Going beyond forward and reverse\u003cbr\u003e 10. Jacobian and Hessian accumulation\u003cbr\u003e 11. Observations on efficiency\u003cbr\u003e 12. Reversal schedules and checkpointing\u003cbr\u003e 13. Taylor and tensor coefficients\u003cbr\u003e 14. Differentiation without differentiability\u003cbr\u003e 15. Implicit and iterative differentiation\u003cbr\u003e Epilogue\u003cbr\u003e List of figures\u003cbr\u003e List of tables\u003cbr\u003e Assumptions and definitions\u003cbr\u003e Propositions, corollaries, and lemmas\u003cbr\u003e Bibliography\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Miscellaneous items [\u003ca title=\"See our other books on Miscellaneous items\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Miscellaneous%20items%20%5BWZ%5D%22\"\u003eWZ\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"MP–SIA SIAM – Society for Industrial and Applied M","offers":[{"title":"Brand New","offer_id":52681226944792,"sku":"9780898716597","price":61.99,"currency_code":"GBP","in_stock":true}],"url":"https:\/\/freshlyprintedbooks.co.uk\/products\/evaluating-derivatives-principles-and-techniques-of-algorithmic-differentiation-principles-and-techniques-of-algorithmic-differentiation-paperback-softback-9780898716597","provider":"Freshly Printed Books","version":"1.0","type":"link"}