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

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书目名称Numerical Methods and Optimization影响因子(影响力)




书目名称Numerical Methods and Optimization影响因子(影响力)学科排名




书目名称Numerical Methods and Optimization网络公开度




书目名称Numerical Methods and Optimization网络公开度学科排名




书目名称Numerical Methods and Optimization被引频次




书目名称Numerical Methods and Optimization被引频次学科排名




书目名称Numerical Methods and Optimization年度引用




书目名称Numerical Methods and Optimization年度引用学科排名




书目名称Numerical Methods and Optimization读者反馈




书目名称Numerical Methods and Optimization读者反馈学科排名

ELATE

不能妥协

ANT

消极词汇

Solving Systems of Linear Equations,e number of steps, whereas classical iterative methods aim at converging towards the solution in an infinite number of steps. Krylov subspace iteration has blurred the lines, as it would converge to the exact solution in a finite number of steps if the computations were carried out exactly, just as direct methods.

Maximizer

TIGER

Optimizing Under Constraints,e most spectacular achievements of the interior-point approach has been to show how linear programming could be carried out with algorithms for convex optimization that have a much smaller worst-case complexity than Dantzig’s simplex.

pineal-gland

Solving Ordinary Differential Equations,lue problems (BVPs) are finally considered, and in particular two-endpoint BVPs, where partial information is available on the initial and final states. Since most methods for solving BVPs for ODEs extend to solving partial differential equations, this latter part also serves as an introduction to the next chapter.

懦夫

Interpolating and Extrapolating,ce, in numerical integration and differentiation as well as for solving differential equations. Kriging, a multivariate interpolation method initially developed in the context of mining, receives special attention. It is increasingly used in computer experiments to build surrogate models for functions that are very costly to evaluate.

Nefarious

Solving Partial Differential Equations,ar PDEs are important enough to receive a classification of their own, which is recalled. The basic principles, advantages, and drawbacks of finite-difference and finite-element methods are explained, and their understanding is facilitated by the fact that the same methods have been applied to ODEs in the previous chapter.