03221nam a22005055i 4500 978-3-031-63361-4 DE-He213 20251030112839.0 cr nn 008mamaa 240806s2024 sz | s |||| 0|eng d 9783031633614 978-3-031-63361-4 10.1007/978-3-031-63361-4 doi TA329-348 TBJ bicssc MAT003000 bisacsh TBJ thema Zhanlav, Tugal. author. aut http://id.loc.gov/vocabulary/relators/aut 70600 New Developments of Newton-Type Iterations for Solving Nonlinear Problems [electronic resource] / by Tugal Zhanlav, Ochbadrakh Chuluunbaatar. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. XIV, 281 p. 9 illus., 1 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Mathematical Engineering, 2192-4740 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. Engineering mathematics. 64145 Engineering Mathematics. 64145 Chuluunbaatar, Ochbadrakh. author. aut http://id.loc.gov/vocabulary/relators/aut 70601 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031633607 Printed edition: 9783031633621 Printed edition: 9783031633638 Mathematical Engineering, 2192-4740 81010 https://doi.org/10.1007/978-3-031-63361-4 ZDB-2-ENG ZDB-2-SXE 62270 62270