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New developments of Newton-type iterations for solving nonlinear problems

Record Type:	Electronic resources : Monograph/item
Title/Author:	New developments of Newton-type iterations for solving nonlinear problemsby Tugal Zhanlav, Ochbadrakh Chuluunbaatar.
Author:	Zhanlav, T.
other author:	Chuluunbaatar, O.
Published:	Cham :Springer Nature Switzerland :2024.
Description:	xiv, 281 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Calculus of variations.
Online resource:	https://doi.org/10.1007/978-3-031-63361-4
ISBN:	9783031633614$q(electronic bk.)

New developments of Newton-type iterations for solving nonlinear problems
Zhanlav, T.

New developments of Newton-type iterations for solving nonlinear problems[electronic resource] /by Tugal Zhanlav, Ochbadrakh Chuluunbaatar. - Cham :Springer Nature Switzerland :2024. - xiv, 281 p. :ill. (some col.), digital ;24 cm. - Mathematical engineering,2192-4740. - Mathematical engineering..

Part 1. Newton-Type Iterations for Nonlinear Equations -- 1. Newton-Type Iterations, Convergence and Accelerations -- 2. Two-Sided Approximations -- 3. New Developments and Extensions of Newton-Type Methods -- 4. Derivative-Free Iterative Methods -- Part 2. Higher Order Iterations for Systems of Nonlinear Equations -- 5. Higher Order Newton-Type Iterations -- Part 3. Applications -- 6. Newton-Type Iterations for Solving Some Problems in Linear Algebra.

This comprehensive book delves into the intricacies of Newton-type methods for nonlinear equations, offering insights into their convergence, accelerations, and extensions. Divided into three parts, the book explores higher-order iterations for nonlinear equations and their systems, and their applications in linear algebra and some nonlinear problems of theoretical physics. Emphasizing the pivotal role of iteration parameters in shaping convergence and expanding the domain, the authors draw from their extensive collaborative research to systematically compile and elucidate these findings. Catering to readers, graduate students, and researchers in applied mathematics, numerical analysis, and related disciplines, this book serves as a valuable resource, synthesizing decades of research to advance understanding and practical application in the field.

ISBN: 9783031633614$q(electronic bk.)

Standard No.: 10.1007/978-3-031-63361-4doiSubjects--Topical Terms:

191127
Calculus of variations.

LC Class. No.: QA315

Dewey Class. No.: 515.64

New developments of Newton-type iterations for solving nonlinear problems
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505 0 $a Part 1. Newton-Type Iterations for Nonlinear Equations -- 1. Newton-Type Iterations, Convergence and Accelerations -- 2. Two-Sided Approximations -- 3. New Developments and Extensions of Newton-Type Methods -- 4. Derivative-Free Iterative Methods -- Part 2. Higher Order Iterations for Systems of Nonlinear Equations -- 5. Higher Order Newton-Type Iterations -- Part 3. Applications -- 6. Newton-Type Iterations for Solving Some Problems in Linear Algebra.
520 $a This comprehensive book delves into the intricacies of Newton-type methods for nonlinear equations, offering insights into their convergence, accelerations, and extensions. Divided into three parts, the book explores higher-order iterations for nonlinear equations and their systems, and their applications in linear algebra and some nonlinear problems of theoretical physics. Emphasizing the pivotal role of iteration parameters in shaping convergence and expanding the domain, the authors draw from their extensive collaborative research to systematically compile and elucidate these findings. Catering to readers, graduate students, and researchers in applied mathematics, numerical analysis, and related disciplines, this book serves as a valuable resource, synthesizing decades of research to advance understanding and practical application in the field.
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