Iterative Solution of Nonlinear Equations in Several Variables: 30 (Classics in Applied Mathematics, Series Number 30) - Softcover

Ortega, J. M.; Rheinboldt, W. C.

 
9780898714616: Iterative Solution of Nonlinear Equations in Several Variables: 30 (Classics in Applied Mathematics, Series Number 30)
Softcover
ISBN 10: 0898714613 ISBN 13: 9780898714616
Publisher: Society for Industrial and Applied Mathematics, 1987

Synopsis

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. Originally published in 1970, it offers a research-level presentation of the principal results known at that time. Although the field has developed since the book originally appeared, it remains a major background reference for the literature before 1970. 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. The results and proof techniques introduced here still represent a solid basis for this topic.

"synopsis" may belong to another edition of this title.

Book Description

Surveys the theoretical results on systems of nonlinear equations in finite dimension and the major iterative methods for their computational solution. Offers a research-level presentation of the principal results known in 1970. The results and proof techniques introduced still represent a solid basis for this topic.

Synopsis

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. Originally published in 1970, it offers a research-level presentation of the principal results known at that time. Although the field has developed since the book originally appeared, it remains a major background reference for the literature before 1970. 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. The results and proof techniques introduced here still represent a solid basis for this topic.

"About this title" may belong to another edition of this title.

Publisher
Society for Industrial and Applied Mathematics
Publication date
1987
Language
English
ISBN 10 
0898714613
ISBN 13 
9780898714616
Binding
Paperback
Number of pages
598

Other Popular Editions of the Same Title

9780125285506: Iterative Solution of Nonlinear Equations in Several Variables (Computer Science & Applied Mathematics Monograph)

Featured Edition

ISBN 10:  0125285507 ISBN 13:  9780125285506
Publisher: Academic Press Inc, 1997
Hardcover