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Perturbation analysis of second-order cone programming problems
(SPRINGER, 2005-11)
We discuss first and second order optimality conditions for nonlinear second-order cone programming problems, and their relation with semidefinite programming problems. For doing this we extend in an abstract setting the ...
Inexistencia de falsos mínimos locales para Burer-Monteiro de rango 2 que codifica la descomposición en suma de cuadrados
(Universidad de los AndesMatemáticasFacultad de CienciasDepartamento de Matemáticas, 2023-08-04)
En este trabajo se estudia el paper "Low-rank univariate sum of squares has no spurious local minima" de Pablo Parrillo, et al. En el que se trata el problema de estableces si un polinomio univariado es suma de cuadrados ...
On Convex Functions and the Finite Element Method
(Society for Industrial and Applied Mathematics, 2009-12)
Many problems of theoretical and practical interest involve finding a convex or concave function.For instance, optimization problems such as finding the projection on the convex functions in $H^k(Omega)$, or some problems ...
Interior proximal bundle algorithm with variable metric for nonsmooth convex symmetric cone programming
(Taylor & Francis, 2016)
This paper is devoted to the study of a bundle proximal-type algorithm for solving the problem of minimizing a nonsmooth closed proper convex function subject to symmetric cone constraints, which include the positive orthant ...
Contribuciónes a la programación cónica de segundo orden y a la programación matricial usando métodos de métrica variable
(2009)
This dissertation is organized as follows:
Chapter 1: In this introductory chapter, we expose briefiy the results that we have obtained.
In each section, we present the main problem that we have considered, give the ...
Global Convergence Of Diluted Iterations In Maximum-likelihood Quantum Tomography
(Rinton Press Inc., 2014)
Control of the Gyrover : a single-wheel gyroscopically stabilized robot
(IEEE, 1999)
The Gyrover is a single wheel gyroscopically stabilized mobile robot developed at Carnegie Mellon University. An internal pendulum serves as a counter weight for a drive motor that causes fore/aft motion, while a tilt-mechanism ...
SOCP relaxation bounds for the optimal subset selection problem applied to robust linear regression
(Elsevier, 2015)
This paper deals with the problem of finding the globally optimal subset of h elements from a larger set of n elements in d space dimensions so as to minimize a quadratic criterion, with an special emphasis on applications ...
Optimal Design of Stable Processes
(Planta Piloto de Ingeniería Química, 2003-05)
Open loop dynamic stability is a major feature of operability. An optimization approach for open loop stable process design is presented. It is based on Lyapunov’s stability theory and formulated as an eigenvalue optimization ...