New complexity analysis for primal-dual interior-point methods for self-scaled optimization problems
, 2012 A linear optimization problem over a symmetric cone, defined in a Euclidean Jordan algebra and called a self-scaled optimization problem (SOP), is considered.
Bo Kyung Choi, G. Lee
semanticscholar +1 more source
A damped algorithm for the split feasibility and fixed point problems
, 2013 The purpose of this paper is to study the split feasibility problem and the fixed point problem. We suggest a damped algorithm. Convergence theorem is proven.MSC:47J25, 47H09, 65J15, 90C25.
Cun-lin Li, Y. Liou, Yonghong Yao
semanticscholar +1 more source
, 2013 In this paper, we introduce an iterative scheme for finding a common element of the sets of fixed points for multivalued nonexpansive mappings, strict pseudo-contractive mappings and the set of solutions of an equilibrium problem for a pseudomonotone ...
J. Vahidi, A. Latif, M. Eslamian
semanticscholar +1 more source
A projective splitting algorithm for solving generalized mixed variational inequalities
Journal of Inequalities and Applications, 2011 In this paper, a projective splitting method for solving a class of generalized mixed variational inequalities is considered in Hilbert spaces. We investigate a general iterative algorithm, which consists of a splitting proximal point step followed by a ...
Zou Yun-zhi, Xia Fu-quan
doaj
A Non-Monotone Conjugate Subgradient Type Method for Minimization of Convex Functions
, 2019 We suggest a conjugate subgradient type method without any line-search for minimization of convex non differentiable functions. Unlike the custom methods of this class, it does not require monotone decrease of the goal function and reduces the ...
Konnov, Igor
core
A Positivstellensatz which Preserves the Coupling Pattern of Variables
, 2006 We specialize Schm\"udgen's Positivstellensatz and its Putinar and Jacobi and Prestel refinement, to the case of a polynomial $f\in R[X,Y]+R[Y,Z]$, positive on a compact basic semi algebraic set $K$ described by polynomials in $R[X,Y]$ and $R[Y,Z]$ only,
Lasserre, Jean B.
core +2 more sources
Optimal transport of vector measures. [PDF]
Calc Var Partial Differ Equ, 2021 Ciosmak KJ.
europepmc +1 more source
A fast continuous time approach with time scaling for nonsmooth convex optimization. [PDF]
Adv Contin Discret Model, 2022 Boţ RI, Karapetyants MA.
europepmc +1 more source
Time Rescaling of a Primal-Dual Dynamical System with Asymptotically Vanishing Damping. [PDF]
Appl Math Optim, 2023 Hulett DA, Nguyen DK.
europepmc +1 more source
Fast Augmented Lagrangian Method in the convex regime with convergence guarantees for the iterates. [PDF]
Math Program, 2023 Boţ RI, Csetnek ER, Nguyen DK.
europepmc +1 more source