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

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書目名稱Numerical Methods and Optimization影響因子(影響力)




書目名稱Numerical Methods and Optimization影響因子(影響力)學(xué)科排名




書目名稱Numerical Methods and Optimization網(wǎng)絡(luò)公開度




書目名稱Numerical Methods and Optimization網(wǎng)絡(luò)公開度學(xué)科排名




書目名稱Numerical Methods and Optimization被引頻次




書目名稱Numerical Methods and Optimization被引頻次學(xué)科排名




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書目名稱Numerical Methods and Optimization年度引用學(xué)科排名




書目名稱Numerical Methods and Optimization讀者反饋




書目名稱Numerical Methods and Optimization讀者反饋學(xué)科排名

ELATE

不能妥協(xié)

ANT

消極詞匯

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.