Affine invariant convergence results for Newton's method
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Publication:1162343
DOI10.1007/BF01934400zbMath0481.65027MaRDI QIDQ1162343
Publication date: 1982
Published in: BIT (Search for Journal in Brave)
Related Items (22)
A Kantorovich-type convergence analysis for the Gauss-Newton-method ⋮ Convergence behaviour of inexact Newton methods ⋮ A method for finding sharp error bounds for Newton's method under the Kantorovich assumptions ⋮ Local convergence results of Gauss--Newton's like method in weak conditions ⋮ Kantorovich-ostrowski convergence theorems and optimal error bounds for jarratt's iterative method ⋮ On an iterative algorithm of order 1.839… for solving nonlinear operator equations∗) ⋮ Local convergence analysis of inexact Newton-like methods under majorant condition ⋮ The convergence analysis of inexact Gauss-Newton methods for nonlinear problems ⋮ Super-Halley method under majorant conditions in Banach spaces ⋮ Variable Schrittweitensteuerungen für die Homotopiemethode bei adäquaten nichtlinearen Ausgleichsproblemen ⋮ On the semilocal convergence behavior for Halley's method ⋮ Following paths through turning points ⋮ On the radius of convergence of newton's method ⋮ A convergence theorem for the inexact Newton methods based on Hölder continuous Fréchet derivative ⋮ Convergence behaviour of inexact Newton methods under weak Lipschitz condition. ⋮ On nonlinearity and eliminating linear components from nonlinear systems ⋮ General local convergence theory for a class of iterative processes and its applications to Newton's method ⋮ On solving a special class of weakly nonlinear finite-difference systems ⋮ A local convergence analysis for the Gauss-Newton and Levenberg-Morrison- Marquardt algorithms ⋮ Convergence of Gauss-Newton's method and uniqueness of the solution ⋮ The Newton-arithmetic mean method for the solution of systems of nonlinear equations. ⋮ Improved convergence and complexity analysis of Newton's method for solving equations
Cites Work
- A stepsize control for continuation methods and its special application to multiple shooting techniques
- Solution Fields of Nonlinear Equations and Continuation Methods
- An efficient step size control for continuation methods
- On Steplength Algorithms for a Class of Continuation Methods
- Affine Invariant Convergence Theorems for Newton’s Method and Extensions to Related Methods
- Convergence and Complexity of Newton Iteration for Operator Equations
- Some Efficient Algorithms for Solving Systems of Nonlinear Equations
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