東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Newton's method = an updated approac...

Ezquerro Fernandez, Jose Antonio.

Linked to FindBook

Google Book

Amazon

博客來

Newton's method = an updated approach of Kantorovich's theory /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Newton's method/ by Jose Antonio Ezquerro Fernandez, Miguel Angel Hernandez Veron.
Reminder of title:	an updated approach of Kantorovich's theory /
Author:	Ezquerro Fernandez, Jose Antonio.
other author:	Hernandez Veron, Miguel Angel.
Published:	Cham :Springer International Publishing : : 2017.,
Description:	xii, 166 p. :ill., digital ;24 cm.
[NT 15003449]:	The classic theory of Kantorovich -- Convergence conditions on the second derivative of the operator -- Convergence conditions on the k-th derivative of the operator -- Convergence conditions on the first derivative of the operator.
Contained By:	Springer eBooks
Subject:	Newton-Raphson method. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-55976-6
ISBN:	9783319559766

Newton's method = an updated approach of Kantorovich's theory /
Ezquerro Fernandez, Jose Antonio.

Newton's methodan updated approach of Kantorovich's theory /[electronic resource] :by Jose Antonio Ezquerro Fernandez, Miguel Angel Hernandez Veron. - Cham :Springer International Publishing :2017. - xii, 166 p. :ill., digital ;24 cm. - Frontiers in mathematics,1660-8046. - Frontiers in mathematics..

The classic theory of Kantorovich -- Convergence conditions on the second derivative of the operator -- Convergence conditions on the k-th derivative of the operator -- Convergence conditions on the first derivative of the operator.

This book shows the importance of studying semilocal convergence in iterative methods through Newton's method and addresses the most important aspects of the Kantorovich's theory including implicated studies. Kantorovich's theory for Newton's method used techniques of functional analysis to prove the semilocal convergence of the method by means of the well-known majorant principle. To gain a deeper understanding of these techniques the authors return to the beginning and present a deep-detailed approach of Kantorovich's theory for Newton's method, where they include old results, for a historical perspective and for comparisons with new results, refine old results, and prove their most relevant results, where alternative approaches leading to new sufficient semilocal convergence criteria for Newton's method are given. The book contains many numerical examples involving nonlinear integral equations, two boundary value problems and systems of nonlinear equations related to numerous physical phenomena. The book is addressed to researchers in computational sciences, in general, and in approximation of solutions of nonlinear problems, in particular.

ISBN: 9783319559766

Standard No.: 10.1007/978-3-319-55976-6doiSubjects--Topical Terms:

714755
Newton-Raphson method.

LC Class. No.: QA297.8

Dewey Class. No.: 518.26

Newton's method = an updated approach of Kantorovich's theory /
LDR:02436nmm a2200325 a 4500 001 2105728
003 DE-He213
005 20170706120450.0
006 m d
007 cr nn 008maaau
008 180417s2017 gw s 0 eng d
020 $a 9783319559766 $q (electronic bk.)
020 $a 9783319559759 $q (paper)
024 7 $a 10.1007/978-3-319-55976-6 $2 doi
035 $a 978-3-319-55976-6
040 $a GP $c GP
041 0 $a eng
050 4 $a QA297.8
072 7 $a PBKF $2 bicssc
072 7 $a MAT037000 $2 bisacsh
082 0 4 $a 518.26 $2 23
090 $a QA297.8 $b .E99 2017
100 1 $a Ezquerro Fernandez, Jose Antonio. $3 3250900
245 1 0 $a Newton's method $h [electronic resource] : $b an updated approach of Kantorovich's theory / $c by Jose Antonio Ezquerro Fernandez, Miguel Angel Hernandez Veron.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2017.
300 $a xii, 166 p. : $b ill., digital ; $c 24 cm.
490 1 $a Frontiers in mathematics, $x 1660-8046
505 0 $a The classic theory of Kantorovich -- Convergence conditions on the second derivative of the operator -- Convergence conditions on the k-th derivative of the operator -- Convergence conditions on the first derivative of the operator.
520 $a This book shows the importance of studying semilocal convergence in iterative methods through Newton's method and addresses the most important aspects of the Kantorovich's theory including implicated studies. Kantorovich's theory for Newton's method used techniques of functional analysis to prove the semilocal convergence of the method by means of the well-known majorant principle. To gain a deeper understanding of these techniques the authors return to the beginning and present a deep-detailed approach of Kantorovich's theory for Newton's method, where they include old results, for a historical perspective and for comparisons with new results, refine old results, and prove their most relevant results, where alternative approaches leading to new sufficient semilocal convergence criteria for Newton's method are given. The book contains many numerical examples involving nonlinear integral equations, two boundary value problems and systems of nonlinear equations related to numerous physical phenomena. The book is addressed to researchers in computational sciences, in general, and in approximation of solutions of nonlinear problems, in particular.
650 0 $a Newton-Raphson method. $3 714755
650 0 $a Iterative methods (Mathematics) $3 648278
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Operator Theory. $3 897311
650 2 4 $a Computational Mathematics and Numerical Analysis. $3 891040
650 2 4 $a Integral Equations. $3 897446
700 1 $a Hernandez Veron, Miguel Angel. $3 3250901
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Frontiers in mathematics. $3 1535268
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-55976-6
950 $a Mathematics and Statistics (Springer-11649)