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New developments of Newton-type iterations for solving nonlinear problems

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	New developments of Newton-type iterations for solving nonlinear problems/ by Tugal Zhanlav, Ochbadrakh Chuluunbaatar.
作者:	Zhanlav, T.
其他作者:	Chuluunbaatar, O.
出版者:	Cham :Springer Nature Switzerland : : 2024.,
面頁冊數:	xiv, 281 p. :ill. (some col.), digital ;24 cm.
內容註:	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.
Contained By:	Springer Nature eBook
標題:	Calculus of variations. -
電子資源:	https://doi.org/10.1007/978-3-031-63361-4
ISBN:	9783031633614

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

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

516604
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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