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Extended local convergence analysis of inexact Gauss-Newton method for singular systems of equations under weak conditions.
- Source :
- Studia Universitatis Babeş-Bolyai, Mathematica; Dec2017, Vol. 62 Issue 4, p543-558, 16p
- Publication Year :
- 2017
-
Abstract
- A new local convergence analysis of the Gauss-Newton method for solving some optimization problems is presented using restricted convergence domains. The results extend the applicability of the Gauss-Newton method under the same computational cost given in earlier studies. In particular, the advantages are: the error estimates on the distances involved are tighter and the convergence ball is at least as large. Moreover, the majorant function in contrast to earlier studies is not necessarily differentiable. Numerical examples are also provided in this study. [ABSTRACT FROM AUTHOR]
- Subjects :
- GAUSS-Bonnet theorem
FUNCTIONAL equations
NEWTON-Raphson method
Subjects
Details
- Language :
- English
- ISSN :
- 02521938
- Volume :
- 62
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Studia Universitatis Babeş-Bolyai, Mathematica
- Publication Type :
- Academic Journal
- Accession number :
- 127208328
- Full Text :
- https://doi.org/10.24193/subbmath.2017.4.11