### Differential estimate for $n$-ary forms on closed orthants.

Timofte, Vlad (2004)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

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Timofte, Vlad (2004)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

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Cusano, Claudio, Fini, Matteo, La Torre, Davide (2004)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

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Msehli, N., Rachdi, L.T. (2009)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

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La Torre, Davide, Rocca, Matteo (2003)

Applied Mathematics E-Notes [electronic only]

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Jingyong Tang, Guoping He, Li Dong, Liang Fang (2012)

Applications of Mathematics

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In this paper, we present a new one-step smoothing Newton method for solving the second-order cone programming (SOCP). Based on a new smoothing function of the well-known Fischer-Burmeister function, the SOCP is approximated by a family of parameterized smooth equations. Our algorithm solves only one system of linear equations and performs only one Armijo-type line search at each iteration. It can start from an arbitrary initial point and does not require the iterative points to be...

Alfredo N. Iusem, Mostafa Nasri (2010)

RAIRO - Operations Research

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We introduce augmented Lagrangian methods for solving finite dimensional variational inequality problems whose feasible sets are defined by convex inequalities, generalizing the proximal augmented Lagrangian method for constrained optimization. At each iteration, primal variables are updated by solving an unconstrained variational inequality problem, and then dual variables are updated through a closed formula. A full convergence analysis is provided, allowing for inexact solution of...

Zhang, J., Huang, X.X. (2010)

Journal of Inequalities and Applications [electronic only]

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Addou, Ahmed, Benahmed, Abdenasser (2005)

International Journal of Mathematics and Mathematical Sciences

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Horwitz, Alan (2008)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

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Dušan Bednařík, Karel Pastor (2009)

RAIRO - Operations Research

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In the paper we generalize sufficient and necessary optimality conditions obtained by Ginchev, Guerraggio, Rocca, and by authors with the help of the notion of ℓ-stability for vector functions.

Pachpatte, Baburao G. (2009)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

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