just-continuity swMATH ID: 34472 Software Authors: Johnstone, Patrick R.; Eckstein, Jonathan Description: projective-splitting/just-continuity: Code that reproduces the results in the paper: Projective splitting with forward steps only requires continuity. A recent innovation in projective splitting algorithms for monotone operator inclusions has been the development of a procedure using two forward steps instead of the customary resolvent step for operators that are Lipschitz continuous. This paper shows that the Lipschitz assumption is unnecessary when the forward steps are performed in finite-dimensional spaces: a backtracking linesearch yields a convergent algorithm for operators that are merely continuous with full domain. Homepage: https://arxiv.org/abs/1809.07180 Source Code: https://github.com/projective-splitting/just-continuity Keywords: operator splitting; convex optimization; monotone operators Related Software: UNLocBoX; rare; CVXPY; GitHub; PESTO Cited in: 5 Documents Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Projective splitting with forward steps only requires continuity. Zbl 1433.90113Johnstone, Patrick R.; Eckstein, Jonathan 2020 all top 5 Cited by 8 Authors 2 Briceño-Arias, Luis M. 2 Eckstein, Jonathan 2 Johnstone, Patrick R. 2 Roldan, Fernando 1 Chen, Jinjian 1 Ryu, Ernest K. 1 Tang, Yuchao 1 Vũ, Bằng Công Cited in 4 Serials 2 Journal of Optimization Theory and Applications 1 Computational Optimization and Applications 1 Optimization Letters 1 Set-Valued and Variational Analysis Cited in 4 Fields 5 Operations research, mathematical programming (90-XX) 4 Operator theory (47-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Numerical analysis (65-XX) Citations by Year