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Newton's Method for Analytic Systems of Equations with Constant Rank Derivatives
- Source :
- Journal of Complexity. 18:187-209
- Publication Year :
- 2002
- Publisher :
- Elsevier BV, 2002.
-
Abstract
- In this paper we study the convergence properties of Newton's sequence for analytic systems of equations with constant rank derivatives. Our main result is an alpha-theorem which ensures the convergence of Newton's sequence to a least-square solution of this system.
- Subjects :
- least-square solution
Statistics and Probability
Numerical Analysis
Control and Optimization
Algebra and Number Theory
Rank (linear algebra)
Applied Mathematics
General Mathematics
Mathematical analysis
System of linear equations
Newton's method in optimization
Steffensen's method
Local convergence
symbols.namesake
Newton's method
Newton fractal
system of equations
symbols
Constant (mathematics)
Mathematics
Subjects
Details
- ISSN :
- 0885064X
- Volume :
- 18
- Database :
- OpenAIRE
- Journal :
- Journal of Complexity
- Accession number :
- edsair.doi.dedup.....97761f799b9be462875e39316b241336