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Journal of optimization theory and applications, ISSN 1573-2878, 2018, Volume 182, Issue 1, pp. 110 - 132
... for Two-Block Separable Convex Optimization Problems with Linear Constraints Sandy Bitterlich1 · Radu Ioan Boţ2 · Ernö Robert Csetnek2,3 · Gert Wanka1 Received: 1... 
Fenchel duality | Lagrangian | Convex optimization | Saddle points | Subdifferential | Proximal AMA | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Image processing | Algorithms | Machine learning | Operators (mathematics) | Computational geometry | Mathematical analysis | Hilbert space | Convexity | Iterative methods | Optimization | Mathematical programming | 65K05 | 90C25 | 47H05
Journal Article
Numerical algorithms, ISSN 1572-9265, 2015, Volume 71, Issue 3, pp. 519 - 540
... monotone inclusion problems Radu Ioan Bot ¸ 1 · Ern¨ o Robert Csetnek 1 Received: 30 June 2014 / Accepted: 11 May 2015 / Published online: 4 June 2015 © Springer... 
Primal-dual algorithm | 65K05 | Subdifferential | Numeric Computing | Theory of Computation | Inertial splitting algorithm | Maximally monotone operator | Algorithms | Algebra | Resolvent | Convex optimization | 90C25 | Numerical Analysis | Computer Science | 47H05 | MATHEMATICS, APPLIED | PROXIMAL POINT ALGORITHM | COMPOSITE | CONVERGENCE | MAPPINGS | OPTIMIZATION | OPERATORS | Operators | Splitting | Image processing | Inertial | Inclusions | Optimization | Convergence
Journal Article
Annals of Operations Research, ISSN 0254-5330, 11/2014, Volume 222, Issue 1, pp. 197 - 211
Journal Article
Journal of mathematical imaging and vision, ISSN 1573-7683, 2014, Volume 49, Issue 3, pp. 551 - 568
... to T otal V ariation Minimization Radu Ioan Bo¸ t · Christopher Hendrich Received: 12 November 2012 / Accepted: 20 December 2013 / Published online: 7 January 2014... 
Mathematical Methods in Physics | Image processing | Signal, Image and Speech Processing | Computer Science | Image Processing and Computer Vision | Fenchel duality | Applications of Mathematics | Splitting method | Convergence statements | Algorithms
Journal Article
EURO journal on computational optimization, ISSN 2192-4414, 2015, Volume 4, Issue 1, pp. 3 - 25
Journal Article
Journal of dynamics and differential equations, ISSN 1572-9222, 2015, Volume 29, Issue 1, pp. 155 - 168
Journal Article
Computational Optimization and Applications, ISSN 0926-6003, 3/2013, Volume 54, Issue 2, pp. 239 - 262
Journal Article
Optimization: Special Issue: German-Israeli Research Workshop on Optimization, Haifa, ISSN 0233-1934, 01/2019, Volume 68, Issue 1, pp. 33 - 50
We investigate the convergence properties of incremental mirror descent type subgradient algorithms for minimizing the sum of convex functions. In each step,... 
global rate of convergence | Nonsmooth convex minimization | incremental mirror descent algorithm | random sweeping | 90C25 | 90C06 | 90C90 | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Algorithms | Descent | Machine learning | Positron emission | Feasibility studies | Convergence
Journal Article
Optimization, ISSN 1029-4945, 2018, Volume 67, Issue 7, pp. 959 - 974
We propose two forward-backward proximal point type algorithms with inertial/memory effects for determining weakly efficient solutions to a vector optimization... 
forward-backward algorithms | inertial proximal algorithms | weakly efficient solutions | Vector optimization problems | forward–backward algorithms | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | PROXIMAL METHOD | INTERIOR | CONVERGENCE | Hilbert space | Optimization | Algorithms
Journal Article
Inverse Problems, ISSN 0266-5611, 10/2016, Volume 32, Issue 12, p. 125003
Journal Article
Set-Valued and Variational Analysis, ISSN 1877-0533, 6/2018, Volume 26, Issue 2, pp. 227 - 245
... Systems with Hidden Acceleration and Hessian Driven Damping T erms Radu Ioan Bot ¸ 1 · Ern¨ o Robert Csetnek 1 Received: 4 October 2016 / Accepted: 10 April 2017... 
Limiting subdifferential | Lyapunov analysis | Kurdyka-Łojasiewicz property | Probability Theory and Stochastic Processes | Mathematics | 90C26 | Dynamical systems | 34G25 | 90C30 | Analysis | 65K10 | Nonsmooth optimization | 47J25 | 47H05 | MATHEMATICS, APPLIED | INEQUALITIES | PROXIMAL ALGORITHM | SUM | Kurdyka-Lojasiewicz property | MONOTONE INCLUSIONS | MINIMIZATION | CONVERGENCE | FORWARD-BACKWARD ALGORITHM
Journal Article
Optimization, ISSN 1029-4945, 2018, Volume 68, Issue 10, pp. 1855 - 1880
We investigate a forward-backward splitting algorithm of penalty type with inertial effects for finding the zeros of the sum of a maximally monotone operator... 
Maximally monotone operator | forward-backward splitting algorithm | convex bilevel optimization | Fitzpatrick function | 65K05 | forward–backward splitting algorithm | 90C25 | 47H05 | Operators (mathematics) | Algorithms | Inclusions | Convergence | Ergodic processes
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 03/2016, Volume 435, Issue 2, pp. 1688 - 1700
We investigate the existence and uniqueness of (locally) absolutely continuous trajectories of a penalty term-based dynamical system associated to a... 
Lyapunov analysis | Penalty schemes | Monotone inclusions | Dynamical systems | Forward–backward algorithm | Forward-backward algorithm | HILBERT-SPACES | MATHEMATICS, APPLIED | MATHEMATICS | MONOTONE INCLUSION PROBLEMS | PENALIZATION | FORWARD-BACKWARD | CONVEX MINIMIZATION | SCHEMES
Journal Article
SIAM JOURNAL ON OPTIMIZATION, ISSN 1052-6234, 2019, Volume 29, Issue 2, pp. 1300 - 1328
We propose a proximal algorithm for minimizing objective functions consisting of three summands: the composition of a nonsmooth function with a linear... 
limiting subdifferential | MATHEMATICS, APPLIED | full splitting scheme | proximal algorithm | structured nonconvex and nonsmooth optimization | CONVERGENCE | Kurdyka-Lojasiewicz property | POINTS | ALTERNATING LINEARIZED MINIMIZATION
Journal Article
Numerical functional analysis and optimization, ISSN 1532-2467, 2015, Volume 36, Issue 8, pp. 951 - 963
Journal Article
Optimization, ISSN 1029-4945, 2018, Volume 68, Issue 7, pp. 1265 - 1277
We consider the minimization of a convex objective function subject to the set of minima of another convex function, under the assumption that both functions... 
convex optimization | Lyapunov analysis | Dynamical systems | nonautonomous systems | Newton dynamics | MATHEMATICS, APPLIED | MAXIMAL MONOTONE-OPERATORS | EQUATIONS | ASYMPTOTIC-BEHAVIOR | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | PENALIZATION | OPTIMIZATION | FORWARD-BACKWARD | CONVEX MINIMIZATION | SCHEMES | Damping | Trajectories | Optimization | Differential equations | Convergence
Journal Article