Zhanlav, Tugal. creator author. aut http://id.loc.gov/vocabulary/relators/aut Chuluunbaatar, Ochbadrakh. author. aut http://id.loc.gov/vocabulary/relators/aut SpringerLink (Online service) text sz 2024 1st ed. 2024. monographic eng

electronic

electronic resource

access XIV, 281 p. 9 illus., 1 illus. in color. online resource. 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. 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. by Tugal Zhanlav, Ochbadrakh Chuluunbaatar. Engineering mathematics Engineering Mathematics TA329-348 9783031633614 https://doi.org/10.1007/978-3-031-63361-4 https://doi.org/10.1007/978-3-031-63361-4 240806 20251030112839.0 978-3-031-63361-4