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

Convexity in Newton's method

Ezquerro Fernández, José Antonio.

Linked to FindBook

Google Book

Amazon

博客來

Convexity in Newton's method

Record Type:	Electronic resources : Monograph/item
Title/Author:	Convexity in Newton's method/ by José Antonio Ezquerro Fernández, Miguel Ángel Hernández Verón.
Author:	Ezquerro Fernández, José Antonio.
other author:	Hernández Verón, Miguel Ángel.
Published:	Cham :Springer Nature Switzerland : : 2025.,
Description:	xii, 242 p. :ill., digital ;24 cm.
[NT 15003449]:	The degree of logarithmic convexity -- The Newton method and convexity -- Accelerations of the Newton method -- Newton-like methods with high order of convergence -- Optimization of the Chebyshev method.
Contained By:	Springer Nature eBook
Subject:	Convex domains. -
Online resource:	https://doi.org/10.1007/978-3-031-85754-6
ISBN:	9783031857546

Convexity in Newton's method
Ezquerro Fernández, José Antonio.

Convexity in Newton's method[electronic resource] /by José Antonio Ezquerro Fernández, Miguel Ángel Hernández Verón. - Cham :Springer Nature Switzerland :2025. - xii, 242 p. :ill., digital ;24 cm. - Frontiers in mathematics,1660-8054. - Frontiers in mathematics..

The degree of logarithmic convexity -- The Newton method and convexity -- Accelerations of the Newton method -- Newton-like methods with high order of convergence -- Optimization of the Chebyshev method.

This monograph examines a variety of iterative methods in Banach spaces with a focus on those obtained from the Newton method. Together with the authors' previous two volumes on the topic of the Newton method in Banach spaces, this third volume significantly extends Kantorovich's initial theory. It accomplishes this by emphasizing the influence of the convexity of the function involved, showing how improved iterative methods can be obtained that build upon those introduced in the previous two volumes. Each chapter presents theoretical results and illustrates them with applications to nonlinear equations, including scalar equations, integral equations, boundary value problems, and more. Convexity in Newton's Method will appeal to researchers interested in the theory of the Newton method as well as other iterative methods in Banach spaces.

ISBN: 9783031857546

Standard No.: 10.1007/978-3-031-85754-6doiSubjects--Topical Terms:

646534
Convex domains.

LC Class. No.: QA639.5

Dewey Class. No.: 515.882

Convexity in Newton's method
LDR:02110nmm a2200337 a 4500 001 2410429
003 DE-He213
005 20250512130254.0
006 m d
007 cr nn 008maaau
008 260204s2025 sz s 0 eng d
020 $a 9783031857546 $q (electronic bk.)
020 $a 9783031857539 $q (paper)
024 7 $a 10.1007/978-3-031-85754-6 $2 doi
035 $a 978-3-031-85754-6
040 $a GP $c GP
041 0 $a eng
050 4 $a QA639.5
072 7 $a PBKF $2 bicssc
072 7 $a MAT037000 $2 bisacsh
072 7 $a PBKF $2 thema
082 0 4 $a 515.882 $2 23
090 $a QA639.5 $b .E99 2025
100 1 $a Ezquerro Fernández, José Antonio. $3 3784301
245 1 0 $a Convexity in Newton's method $h [electronic resource] / $c by José Antonio Ezquerro Fernández, Miguel Ángel Hernández Verón.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Birkhäuser, $c 2025.
300 $a xii, 242 p. : $b ill., digital ; $c 24 cm.
490 1 $a Frontiers in mathematics, $x 1660-8054
505 0 $a The degree of logarithmic convexity -- The Newton method and convexity -- Accelerations of the Newton method -- Newton-like methods with high order of convergence -- Optimization of the Chebyshev method.
520 $a This monograph examines a variety of iterative methods in Banach spaces with a focus on those obtained from the Newton method. Together with the authors' previous two volumes on the topic of the Newton method in Banach spaces, this third volume significantly extends Kantorovich's initial theory. It accomplishes this by emphasizing the influence of the convexity of the function involved, showing how improved iterative methods can be obtained that build upon those introduced in the previous two volumes. Each chapter presents theoretical results and illustrates them with applications to nonlinear equations, including scalar equations, integral equations, boundary value problems, and more. Convexity in Newton's Method will appeal to researchers interested in the theory of the Newton method as well as other iterative methods in Banach spaces.
650 0 $a Convex domains. $3 646534
650 0 $a Newton-Raphson method. $3 714755
650 1 4 $a Functional Analysis. $3 893943
650 2 4 $a Operator Theory. $3 897311
700 1 $a Hernández Verón, Miguel Ángel. $3 3784302
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Frontiers in mathematics. $3 1535268
856 4 0 $u https://doi.org/10.1007/978-3-031-85754-6
950 $a Mathematics and Statistics (SpringerNature-11649)