This user-oriented guide describes state-of-the-art methods for nonlinear
equations and shows, via algorithms in pseudocode and Julia with several
examples, how to choose an appropriate iterative method for a given
problem and write an efficient solver or apply one written by others.
A sequel to the author's Solving Nonlinear Equations with Newton's Method (SIAM, 2003), this book
This book is intended for researchers who solve nonlinear equations, students in numerical analysis, and the Julia community.
C. T. (Tim) Kelley was a Drexel Professor of Mathematics at North
Carolina State University until his retirement in 2021. He is the author
of five books, all published by SIAM, and more than 150 papers. He has
mentored 27 Ph.D. students.
He has served as editor-in-chief of SIAM Journal on Optimization and
SIAM Review and has served as SIAM Vice President for Publications and
Chair of the SIAM Board of Trustees. He is a member of SIAM, the American
Nuclear Society, AAAS, AWM, Sigma Xi, and the Honorable Order of
Kentucky Colonels. He is a Fellow of SIAM and the AAAS.