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Journal Articles SIAM Journal on Numerical Analysis Year : 1990

M-functions and parallel asynchronous algorithms

Didier El Baz


The solution of nonlinear systems of equations Fx=z via parallel asynchronous algorithms is considered. It is shown that when F is continuous off-diagonally antitone and strictly diagonally isotone, then point asynchronous iterations converge monotonically to a solution of the problem from supersolutions and subsolutions. A global convergence result for asychronous iterations when F is a continuous surjectiv M-function is also presented.
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hal-01152707 , version 1 (18-05-2015)


  • HAL Id : hal-01152707 , version 1


Didier El Baz. M-functions and parallel asynchronous algorithms . SIAM Journal on Numerical Analysis, 1990, 27 (1), pp. 136-140. ⟨hal-01152707⟩
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