As part of the Mathematical Engineering Book Series, Springer published the monograph entitled “New developments of Newton-type iterations for solving nonlinear problems” by Ochbadrakh Chuluunbaatar, Deputy Director of the Laboratory of Information Technologies at JINR, Academician of the Mongolian Academy of Sciences (MAS), and Tugal Zhanlav, JINR Honorary Doctor, MAS Academician. The authors analyse the intricacies of Newton-type methods for nonlinear equations, discussing their convergence, accelerations, and extensions.

The three-part monograph explores higher-order iterations for nonlinear equations and their systems, their applications in linear algebra, and some nonlinear problems of theoretical physics. Emphasising 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 substantiate these findings.

The book is aimed at readers, graduate students, and researchers in applied mathematics, numerical analysis, and related disciplines, serving as a valuable resource synthesising decades of research to advance understanding and practical application in the field.