On Newton-like methods
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Publication:2529726
DOI10.1007/BF02166685zbMath0165.17303OpenAlexW1998751889MaRDI QIDQ2529726
Publication date: 1968
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/131831
Banach spaceshigher order convergencenonlinear differential operatorbounded linear mapconvergence of Newton-like methods
Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)
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Cites Work
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- A modified Newton-Raphson method for the solution of systems of equations
- A Newton-Raphson method for the solution of systems of equations
- Newton's Method in Banach Spaces
- A Class of Methods for Solving Nonlinear Simultaneous Equations
- On Newton’s Method and Nonlinear Simultaneous Displacements
- A Stationary Newton Method for Nonlinear Functional Equations