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STUDIA INFORMATICA - Issue no. 2 / 2002 | |||||||
Article: |
ON THE CONVERGENCE OF ASYNCHRONOUS BLOCK NEWTON METHODS FOR NONLINEAR SYSTEMS OF EQUATIONS. Authors: IOAN LAZĂR. |
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Abstract: Convergence of asynchronous block Newton methods for solving nonlinear systems of equations of the form F(x) = 0 are studied. Suffi cient conditions to guarantee their local convergence are given. Our analysis emphasizes the connection between the conditions on F involved in local con- vergence theorems for sequential and synchronous block Newton''s method, and our settings for asynchronous block Newton methods. Our results are similar to the results of Szyld and Xu, obtained in an asynchronous nonlinear multisplitting context. | |||||||