Titlebook: Newton’s Method: an Updated Approach of Kantorovich’s Theory; José Antonio Ezquerro Fernández,Miguel ángel Herná Book 2017 Springer Intern

Overstate

https://doi.org/10.1007/978-3-319-55976-6Newton’s Method; Kantorovich’s Theory; Semilocal Convergence; Majorizing Sequence; Error Estimates; Order

異教徒

radiograph

占卜者

José Antonio Ezquerro Fernández,Miguel ángel HernáUp-to-date account of Kantorovich′s theory for Newton′s method.Starts with a detailed presentation of Kantorovich′s approach and ends with new results and alternative approaches.Contains many numerica

lanugo

The classic theory of Kantorovich,le of Banach, and later improved to semilocal quadratic convergence in 1948/49 (the Newton-Kantorovich theorem) [47, 49]. Also in 1949, Mysovskikh [61] gave a much simpler independent proof of semilocal quadratic convergence under slightly different theoretical assumptions, which are exploited in modern Newton algorithms, see [18].

敵意

Convergence conditions on the ,-th derivative of the operator,evious chapter for Newton’s method under conditions on the second derivative of the operator involved. So, we establish semilocal convergence results for Newton’s method under conditions on derivatives of the operator of order greater than two.

modifier

Convergence conditions on the first derivative of the operator,In this chapter, we study the semilocal convergence of Newton’s method under mild differentiability conditions on the operator ..

Ptsd429

8樓

乳汁

9樓

簡潔

9樓