TY - BOOK AU - Zhanlav,Tugal AU - Chuluunbaatar,Ochbadrakh ED - SpringerLink (Online service) TI - New Developments of Newton-Type Iterations for Solving Nonlinear Problems T2 - Mathematical Engineering, SN - 9783031633614 AV - TA329-348 U1 - 620.00151 23 PY - 2024/// CY - Cham PB - Springer Nature Switzerland, Imprint: Springer KW - Engineering mathematics KW - Engineering Mathematics N1 - 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 N2 - 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 UR - http://libcon.rec.uabc.mx:2048/login?url=https://doi.org/10.1007/978-3-031-63361-4 ER -