Titlebook: Numerical Methods and Optimization; A Consumer Guide éric Walter Book 2014 Springer International Publishing Switzerland 2014 Linear Algebr

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éric WalterExamples of applications are taken from a variety of domains (physics, chemistry, mechanics, mining, engineering, computer science, etc.) to give the reader a sense of how widely such applications can

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Notation and Norms,the meaning of the expressions . and . employed for comparing local or asymptotic behaviors of functions. The most important vector and matrix norms are described. Norms find a first application in the definition of types of convergence speeds for iterative algorithms.

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Integrating and Differentiating Functions,umerical values that they take for some numerical values of their arguments, formal integration, or differentiation via computer algebra is out of the question. Special attention is devoted to the computation of gradients, which plays a central role in optimization procedures.

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Problems,teresting and practically useful numerical techniques not covered in previous chapters. Many of them translate easily into computer-lab work. Most of them build on material pertaining to several chapters, and this is why they have all been collected here.

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壓倒性勝利

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WEB Resources to Go Further,Web sites are suggested that give access to numerical software as well as to additional information on concepts and algorithms. Most of the resources described can be used at no cost.

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978-3-319-37711-7Springer International Publishing Switzerland 2014