Ibtihel Ben Gharbia

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The modeling of migration of hydrogen produced by the corrosion of the nuclear waste packages in an underground storage including the dissolution of hydrogen involves a set of nonlinear partial differential equations with nonlinear complementarity constraints. This article shows how to apply a modern and efficient solution strategy, the Newton-min method,(More)
The plain Newton-min algorithm to solve the linear complementarity problem (LCP for short) 0 ≤ x ⊥ (Mx + q) ≥ 0 can be viewed as a semismooth Newton algorithm without globalization technique to solve the system of piecewise linear equations min(x, Mx + q) = 0, which is equivalent to the LCP. When M is an M-matrix of order n, the algorithm is known to(More)
The plain Newton-min algorithm to solve the linear complementarity problem (LCP for short) 0 6 x ⊥ (Mx + q) > 0 can be viewed as a semismooth Newton algorithm without globalization technique to solve the system of piecewise linear equations min(x,Mx + q) = 0, which is equivalent to the LCP. When M is an M-matrix of order n, the algorithm is known to(More)
The plain Newton-min algorithm to solve the linear complementarity problem (LCP for short) 0 6 x ⊥ (Mx + q) > 0 can be viewed as a nonsmooth Newton algorithm without globalization technique to solve the system of piecewise linear equations min(x,Mx + q) = 0, which is equivalent to the LCP. When M is an M -matrix of order n, the algorithm is known to(More)
It is shown that a nondegenerate square real matrix M is a P-matrix if and only if, whatever is the real vector q, the Newton-min algorithm does not cycle between two points when it is used to solve the linear complementarity problem 0 6 x ⊥ (Mx+ q) > 0. Key-words: Linear complementarity problem, semismooth Newton method, Newton-min algorithm, NM-matrix,(More)
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