Add to ORKGWe introduce basic ideas of a nonsmooth Newton’s method and its application in solving semidefinite optimization (SDO) problems. In particular, the method can be used to solve both linear and nonlinear semidefinite complementarity problems. We also survey recent theoretical results in matrix functions and stability of SDO that are stemed from the research on the matrix form of the nonsmooth Newton’s method.Singapore-MIT Alliance (SMA
International audienceWe consider nonlinear algebraic systems with complementarity constraints stemm...
We introduce semismooth and semiconvex functions and discuss their properties with respect to nonsmo...
This thesis is about mathematical optimization. Mathematical optimization involves the construction ...
2003-2004 > Academic research: refereed > Publication in refereed journalVersion of RecordPublishe
The nonlinear semidefinite optimization problem arises from applications in system control, structur...
Abstract. We study a smoothing Newton method for solving a nonsmooth matrix equation that includes s...
The semidefinite programming is an optimization approach where optimization problems are formulated ...
In this paper we investigate matrix inequalities which hold irrespective of the size of the matrices...
AbstractA matrix optimization problem of interest is the infimization, for arbitrary F, G ∈ Rn × m, ...
summary:An equivalent model of nonsmooth equations for a constrained minimax problem is derived by u...
This book aims to give an introduction to generalized derivative concepts useful in deriving necessa...
It is known that the Karush-Kuhn-Tucker (KKT) conditions of semidefinite pro-gramming can be reformu...
AbstractWe consider an inverse problem arising from the semi-definite quadratic programming (SDQP) p...
International audienceThis paper studies Newton-type methods for minimization of partly smooth conve...
An alternating direction method is proposed for solving convex semidefinite optimization problems. T...
International audienceWe consider nonlinear algebraic systems with complementarity constraints stemm...
We introduce semismooth and semiconvex functions and discuss their properties with respect to nonsmo...
This thesis is about mathematical optimization. Mathematical optimization involves the construction ...
2003-2004 > Academic research: refereed > Publication in refereed journalVersion of RecordPublishe
The nonlinear semidefinite optimization problem arises from applications in system control, structur...
Abstract. We study a smoothing Newton method for solving a nonsmooth matrix equation that includes s...
The semidefinite programming is an optimization approach where optimization problems are formulated ...
In this paper we investigate matrix inequalities which hold irrespective of the size of the matrices...
AbstractA matrix optimization problem of interest is the infimization, for arbitrary F, G ∈ Rn × m, ...
summary:An equivalent model of nonsmooth equations for a constrained minimax problem is derived by u...
This book aims to give an introduction to generalized derivative concepts useful in deriving necessa...
It is known that the Karush-Kuhn-Tucker (KKT) conditions of semidefinite pro-gramming can be reformu...
AbstractWe consider an inverse problem arising from the semi-definite quadratic programming (SDQP) p...
International audienceThis paper studies Newton-type methods for minimization of partly smooth conve...
An alternating direction method is proposed for solving convex semidefinite optimization problems. T...
International audienceWe consider nonlinear algebraic systems with complementarity constraints stemm...
We introduce semismooth and semiconvex functions and discuss their properties with respect to nonsmo...
This thesis is about mathematical optimization. Mathematical optimization involves the construction ...