Semismooth and Smoothing Newton Methods

by Defeng Sun, Michael Ulbrich, Liqun Qi

Since its introduction by Isaac Newton (1669) and Joseph Raphson (1690) more than three hundred years ago, Newton's method or the Newton-Raphson method has become the most important technique for solving the system of smooth algebraic equations. Despite its simple structure, Newton's method possesses a fast local convergence rate - superlinear or quadratic. This outstanding feature of Newton's method leads to numerous extensions in the literature...

• Format: Hardcover
• Language: English
• ISBN: 0387791493
• ISBN13: 9780387791494
• Release Date: June 2025
• Publisher: Springer
• Length: 250 Pages