02897nam a22004215i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118050001400153072001600167072002300183072001500206100007700221245014800298250001800446264006900464300006300533336002600596337002600622338003600648347002400684490004100708505046100749520086401210650002902074650002902103700008802132710003402220773002602254776003602280776003602316776003602352830004102388856004602429978-3-031-63361-4DE-He21320251030112839.0cr nn 008mamaa240806s2024    sz |    s    |||| 0|eng d  a97830316336147 a10.1007/978-3-031-63361-42doi 4aTA329-348 7aTBJ2bicssc 7aMAT0030002bisacsh 7aTBJ2thema1 aZhanlav, Tugal.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut10aNew Developments of Newton-Type Iterations for Solving Nonlinear Problemsh[electronic resource] /cby Tugal Zhanlav, Ochbadrakh Chuluunbaatar.  a1st ed. 2024. 1aCham :bSpringer Nature Switzerland :bImprint: Springer,c2024.  aXIV, 281 p. 9 illus., 1 illus. in color.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aMathematical Engineering,x2192-47400 aPart 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.  aThis 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. 0aEngineering mathematics.14aEngineering Mathematics.1 aChuluunbaatar, Ochbadrakh.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut2 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303163360708iPrinted edition:z978303163362108iPrinted edition:z9783031633638 0aMathematical Engineering,x2192-474040uhttps://doi.org/10.1007/978-3-031-63361-4