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Newton's Method for Underdetermined Systems of Equations Under the γ-Condition.
- Source :
- Numerical Functional Analysis & Optimization; May2007, Vol. 28 Issue 5/6, p663-679, 17p
- Publication Year :
- 2007
-
Abstract
- The convergence criterion of Newton's method for underdetermined system of equations under the γ-condition is established and the radius of the convergence ball is obtained. Applications to analytic operator are provided and some results due to Shub and Smale (SIAM J. Numer. Anal. 1996, 33:128-148) are extended and improved. [ABSTRACT FROM AUTHOR]
- Subjects :
- NEWTON-Raphson method
STOCHASTIC convergence
EQUATIONS
ALGEBRA
MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 01630563
- Volume :
- 28
- Issue :
- 5/6
- Database :
- Complementary Index
- Journal :
- Numerical Functional Analysis & Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 25099882
- Full Text :
- https://doi.org/10.1080/01630560701348509