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A simple proof of existence of Lagrange multipliers
Gabriel Haeser, Daiana Oliveira dos Santos
In the seminal book Méchanique analitique, Lagrange, 1788, the notion of a Lagrange multiplier was first introduced in order to study a smooth minimization problem subject to equal…
A semi-smooth Newton method for general projection equations applied to the nearest correlation matrix problem
Nicolas F. Armijo, Yunier Bello-Cruz, Gabriel Haeser
In this paper, we extend and investigate the properties of the semi-smooth Newton method when applied to a general projection equation in finite dimensional spaces. We first presen…
On the weak second-order optimality condition for nonlinear semidefinite and second-order cone programming
Ellen H. Fukuda, Gabriel Haeser, Leonardo M. Mito
Second-order necessary optimality conditions for nonlinear conic programming problems that depend on a single Lagrange multiplier are usually built under nondegeneracy and strict c…