عنوان

Iterative solution of nonlinear equations in several variables

(Number (ISBN

9780898719468 (electronic bk.)

Erroneous ISBN

0898714613 (print)

Erroneous ISBN

9780898714616 (print)

Number

b503369

Publisher's Number

CL30

Title Proper

Iterative solution of nonlinear equations in several variables

General Material Designation

[Book]

First Statement of Responsibility

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

Place of Publication, Distribution, etc.

Philadelphia, Pa. :

Name of Publisher, Distributor, etc.

Society for Industrial and Applied Mathematics,

Date of Publication, Distribution, etc.

2000.

Specific Material Designation and Extent of Item

1 online resource (xxvi, 572 p.)

Series Title

Classics in applied mathematics ;

Volume Designation

30.

Text of Note

Originally published: New York : Academic Press, 1970.

Text of Note

Includes bibliographical references and index.

Text of Note

Preface to the classics edition -- Preface -- Acknowledgments -- Glossary of symbols -- Introduction -- Part I. Background material -- 1. Sample problems -- 2. Linear algebra -- 3. Analysis -- Part II. Nonconstructive existence theorems -- 4. Gradient mappings and minimization -- 5. Contractions and the continuation property -- 6. The degree of a mapping -- Part III. Iterative methods -- 7. General iterative methods -- 8. Minimization methods -- Part IV. Local convergence -- 9. Rates of convergence-general -- 10. One-step stationary methods -- 11. Multistep methods and additional one-step methods -- Part V. Semilocal and global convergence -- 12. Contractions and nonlinear majorants -- 13. Convergence under partial ordering -- 14. Convergence of minimization methods -- An annotated list of basic reference books -- Bibliography -- Author index -- Subject index.

0

Text of Note

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.

International Standard Book Number

9780898714616

Equations-- Numerical solutions.

Iterative methods (Mathematics)

Number

Edition

Class number

Book number

Ortega, James M.,1932-

Rheinboldt, Werner C.

Society for Industrial and Applied Mathematics.

Date of Transaction

20110114003227.0

Electronic name

[Book]

Y