# Iterative Solution of Nonlinear Equations in Several Variables (Computer Science Applied Mathematics Monograph) ebook

## by James M. Ortega

systems of nonlinear equations in finite dimension and the major iterative methods for their computational solution.

Iterative Solution of Nonlinear Equations in Several Variables provides a survey of the theoretical results on systems of nonlinear equations in finite dimension and the major iterative methods for their computational solution. In particular, Part II contains the only relatively complete introduction to the existence theory for finite-dimensional nonlinear equations from the viewpoint of computational mathematics. Over the years semilocal convergence results have been obtained for various methods, especially with an emphasis on error bounds for the iterates.

Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Classics in Applied Mathematics). Series: Computer Science & Applied Mathematics Monograph. Hardcover: 572 pages.

Efficient method for solving a system of nonlinear equations. Muhammad Waseem, Muhammad Aslam Noor, Khalida Inayat Noor. Applied Mathematics and Computation.

oceedings{O, title {Iterative solution of nonlinear equations in several variables}, author {James M. Ortega and Werner C. Rheinboldt}, booktitle {Computer science and applied mathematics}, year {1970} }. James M. Ortega, Werner C. Rheinboldt. Published in. Computer science and applie. 970. Efficient method for solving a system of nonlinear equations. Cites methods & background.

Computer Science and Applied Mathematics: Iterative Solution of Nonlinear Equations in Several .

Computer Science and Applied Mathematics: Iterative Solution of Nonlinear Equations in Several Variables presents a survey of the basic theoretical results about nonlinear equations in n dimensions and analysis of the major iterative methods for their numerical solution. This book discusses the gradient mappings and minimization, contractions and the continuation property, and degree of a mapping. The general iterative and minimization methods, rates of convergence, and one-step stationary and multistep methods are also elaborated.

KEYWORDS: Nonlinear Equations, Ordinary Differential Equations, Numerical Integration . ABSTRACT: In this paper a new ODE numerical integration method was successfully applied to solving nonlinear equations.

KEYWORDS: Nonlinear Equations, Ordinary Differential Equations, Numerical Integration, Fixed Point Iteration, Newton’s Method, Stiff, Ill-Conditioned. JOURNAL NAME: Applied Mathematics, Vo. N., September 29, 2010. The method is of same simplicity as fixed point iteration, but the efficiency has been significantly improved, so it is especially suitable for large scale systems.

Электронная книга "Iterative Solution of Nonlinear Equations in Several Variables", J. M. Ortega, W. C. Эту книгу можно прочитать в Google Play Книгах на компьютере, а также на устройствах Android и iOS. Выделяйте текст, добавляйте закладки и делайте заметки, скачав книгу "Iterative Solution of Nonlinear Equations in Several Variables" для чтения в офлайн-режиме. Although the field has developed since the book originally appeared, it remains a major background reference for the literature before 1970.

Iterative Solution of Nonlinear Equations in Several Variables J. Ortega Eurospan 9780898714616 : Iterative Solution of Nonlinear Equations in Several Variables provides a survey of the t. Поставляется из: Англии Описание: Iterative Solution of Nonlinear Equations in Several Variables provides a survey of the theoretical results on systems of nonlinear equations in finite dimension and the major iterative methods for their computational solution.