A Newton-type method and its application

DOI10.1155/IJMMS/2006/23674zbMath1123.47049OpenAlexW1979880254MaRDI QIDQ885591

V. Antony Vijesh, Papagudi Venkatachalam Subrahmanyam

Publication date: 14 June 2007

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/53538

zbMATH Keywords

functional integral equationsGâteaux differentiabilityUrysohn operatorsmodified Newton iterationsNewton-like iterative method

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (3)

A Newton-like method for generalized operator equations in Banach spaces ⋮ A Newton-like method and its application ⋮ Some notes on split Newton iterative algorithm

Cites Work

• Unnamed Item
• On a theorem of L.V. Kantorovich concerning Newton's method.
• On the application of the newton-kantorovich method to nonlinear integral equations of uryson type

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