Expanded Convergence Domains for Newton’s Method at Nearly Singular Roots
- 1 October 1985
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Scientific and Statistical Computing
- Vol. 6 (4) , 951-966
- https://doi.org/10.1137/0906064
Abstract
No abstract availableThis publication has 17 references indexed in Scilit:
- On Solving Nonlinear Equations with Simple Singularities or Nearly Singular SolutionsSIAM Review, 1985
- Analysis of Newton’s Method at Irregular SingularitiesSIAM Journal on Numerical Analysis, 1983
- Convergence Rates for Newton’s Method at Singular PointsSIAM Journal on Numerical Analysis, 1983
- Convergence Acceleration for Newton’s Method at Singular PointsSIAM Journal on Numerical Analysis, 1982
- Newton’s Method for Singular Problems when the Dimension of the Null Space is $>1$SIAM Journal on Numerical Analysis, 1981
- Newton’s Method at Singular Points. IISIAM Journal on Numerical Analysis, 1980
- Starlike domains of convergence for Newton's method at singularitiesNumerische Mathematik, 1980
- Newton’s Method at Singular Points. ISIAM Journal on Numerical Analysis, 1980
- Solution by iteration of H-equations in multigroup neutron transportJournal of Mathematical Physics, 1978
- Bifurcation, perturbation of simple eigenvalues, itand linearized stabilityArchive for Rational Mechanics and Analysis, 1973