Found 343 Documents (Results 1–100)
Two new splitting methods for three-operator monotone inclusions in Hilbert spaces. (English) Zbl 07920019
Equivalent resolvents of Douglas-Rachford splitting and other operator splitting algorithms: a unified degenerate proximal point analysis. (English) Zbl 07914194
Inertial Halpern-type methods for variational inequality with application to medical image recovery. (English) Zbl 07912596
A primal-dual backward reflected forward splitting algorithm for structured monotone inclusions. (English) Zbl 07905648
Mordukhovich derivatives of the normalized duality mapping in Banach spaces. arXiv:2407.21261
Preprint, arXiv:2407.21261 [math.FA] (2024).
Fixed-point properties of the Mordukhovich differential operator. arXiv:2407.05227
Preprint, arXiv:2407.05227 [math.FA] (2024).
Mordukhovich derivatives of the set-valued metric projection operator in general Banach spaces. arXiv:2402.10827
Preprint, arXiv:2402.10827 [math.FA] (2024).
Mordukhovich derivatives of the metric projection operator in uniformly convex and uniformly smooth Banach spaces. arXiv:2401.11321
Preprint, arXiv:2401.11321 [math.FA] (2024).
On degenerate metric resolvent: well-definedness and new convergence analysis. arXiv:2401.08431
Preprint, arXiv:2401.08431 [math.OC] (2024).
On the coincidence of measure-based decomposition and superdecomposition integrals. (English) Zbl 1543.28017
MSC:
28E10
A technique with diminishing and non-summable step-size for monotone inclusion problems in Banach spaces. (English) Zbl 1535.47011
Regularity of sets under a reformulation in a product space with reduced dimension. (English) Zbl 07793169
Strongly nonexpansive mappings revisited: uniform monotonicity and operator splitting. (English) Zbl 1523.49033
An inexact version of the symmetric proximal ADMM for solving separable convex optimization. (English) Zbl 07730420
Hilbert \(C^*\)-modules with Hilbert dual and \(C^*\)-Fredholm operators. (English) Zbl 1525.46035
Reviewer: Maryam Amyari (Mashhad)
A Tseng-type algorithm for approximating zeros of monotone inclusion and \(J\)-fixed-point problems with applications. (English) Zbl 1543.47119
The splitting algorithms by Ryu, by Malitsky-Tam, and by Campoy applied to normal cones of linear subspaces converge strongly to the projection onto the intersection. (English) Zbl 1532.41029
Reviewer: Ravindra Kishor Bisht (Pune)
Resolvent of the parallel composition and the proximity operator of the infimal postcomposition. (English) Zbl 1519.47050
Asynchronous global-local non-invasive coupling for linear elliptic problems. (English) Zbl 1539.74430
Finding monotone patterns in sublinear time, adaptively. (English) Zbl 07870227
Bojańczyk, Mikołaj (ed.) et al., 49th EATCS international conference on automata, languages, and programming, ICALP 2022, Paris, France, July 4–8, 2022. Wadern: Schloss Dagstuhl – Leibniz-Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 229, Article 17, 19 p. (2022).
Choquet-Sugeno-like operator based on relation and conditional aggregation operators. (English) Zbl 07790805
A further investigation of convex integrals based on monotone measures. (English) Zbl 1522.28028
MSC:
28E10
A product space reformulation with reduced dimension for splitting algorithms. (English) Zbl 1517.47098
Variational interior and interface transmission conditions: multidomain mixed Darcy/Stokes control problems. (English) Zbl 07545224
Numerical homogenization for nonlinear strongly monotone problems. (English) Zbl 1502.65218
Reviewer: Petr Sváček (Praha)
Monotone decomposition of the Cauchy problem for a hyperbolic equation based on transport equations. (English. Russian original) Zbl 1491.35387
Comput. Math. Math. Phys. 62, No. 3, 432-440 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 3, 442-450 (2022).
Parallel domain decomposition schemes based on finite volume element discretization for nonsteady-state diffusion equations on distorted meshes. (English) Zbl 1524.65463
The range of the Douglas-Rachford operator in infinite-dimensional Hilbert spaces. arXiv:2206.07204
Preprint, arXiv:2206.07204 [math.OC] (2022).
Collection and decomposition integrals in multicriteria-decision support. (English) Zbl 1511.68283
Pap, Endre (ed.), Artificial intelligence: theory and applications. Cham: Springer. Stud. Comput. Intell. 973, 31-46 (2021).
A nonlinearly preconditioned forward-backward splitting method and applications. (English) Zbl 07505476
Generalized hybrid viscosity-type forward-backward splitting method with application to convex minimization and image restoration problems. (English) Zbl 07483531
A partially inexact ADMM with \(o(1/n)\) asymptotic convergence rate, \(\mathcal{O} (1/n)\) complexity, and immediate relative error tolerance. (English) Zbl 1541.65045
A method of approximation for a zero of the sum of maximally monotone mappings In Hilbert spaces. (English) Zbl 1483.47105
Connections of unbounded operators and some related topics: von Neumann algebra case. (English) Zbl 1477.46069
A reflected forward-backward splitting method for monotone inclusions involving Lipschitzian operators. (English) Zbl 1481.47082
Nowhere-monotone differentiable functions and bounded variation. (English) Zbl 1459.26019
Reviewer: Symon Serbenyuk (Kyïv)
The splitting algorithms by Ryu and by Malitsky-Tam applied to normal cones of linear subspaces converge strongly to the projection onto the intersection. arXiv:2109.11072
Preprint, arXiv:2109.11072 [math.OC] (2021).
Image restoration using an inertial viscosity fixed point algorithm. arXiv:2108.05146
Preprint, arXiv:2108.05146 [math.FA] (2021).
Inertial viscosity forward-backward splitting algorithm for monotone inclusions and its application to image restoration problems. (English) Zbl 07475985
An iterative regularization method for variational inequalities in Hilbert spaces. (English) Zbl 1485.47081
A note on the coincidence of decomposition integrals and superdecomposition integrals. (English) Zbl 1477.28014
MSC:
28E10
A short proof for stronger version of DS decomposition in set function optimization. (English) Zbl 1510.90186
Reviewer: Efstratios Rappos (Aubonne)
MSC:
90C10
On approximately monotone and approximately Hölder functions. (English) Zbl 1474.26037
Reviewer: Gyula Maksa (Debrecen)
Convergence results of forward-backward method for a zero of the sum of maximally monotone mappings in Banach spaces. (English) Zbl 1463.47200
A strong convergence theorem for approximation of a zero of the sum of two maximal monotone mappings in Banach spaces. (English) Zbl 1512.47089
An inexact proximal generalized alternating direction method of multipliers. (English) Zbl 1445.90077
The monotone case approach for the solution of certain multidimensional optimal stopping problems. (English) Zbl 1440.60034
MSC:
60G40
Necessary conditions for linear convergence of iterated expansive, set-valued mappings. (English) Zbl 1439.49032
On the equivalence of the primal-dual hybrid gradient method and Douglas-Rachford splitting. (English) Zbl 1498.90156
A weakly convergent fully inexact Douglas-Rachford method with relative error tolerance. (English) Zbl 07194596
On relationships between two linear subspaces and two orthogonal projectors. (English) Zbl 1433.15005
Progressive decoupling of linkages in optimization and variational inequalities with elicitable convexity or monotonicity. (English) Zbl 07146007
Additive and restricted additive Schwarz-Richardson methods for inequalities with nonlinear monotone operators. (English) Zbl 1446.65191
On a decomposition formula for the resolvent operator of the sum of two set-valued maps with monotonicity assumptions. (English) Zbl 07134213
Adaptive Douglas-Rachford splitting algorithm for the sum of two operators. (English) Zbl 1440.47054
Reviewer: Stepan Agop Tersian (Rousse)
Douglas-Rachford splitting for the sum of a Lipschitz continuous and a strongly monotone operator. (English) Zbl 07112082
Iteration complexity of an inexact Douglas-Rachford method and of a Douglas-Rachford-Tseng’s F-B four-operator splitting method for solving monotone inclusions. (English) Zbl 07101812
A partially inexact proximal alternating direction method of multipliers and its iteration-complexity analysis. (English) Zbl 07093339
Augmented Lagrangian method for TV-\(l_1\)-\(l_2\) based colour image restoration. (English) Zbl 1432.94017
Iteration-complexity analysis of a generalized alternating direction method of multipliers. (English) Zbl 1482.90143
Solving monotone stochastic variational inequalities and complementarity problems by progressive hedging. (English) Zbl 1421.90100
Monotone domain decomposition iterative technique for boundary value problems of a nonlinear fractional differential equation. (English) Zbl 1406.34016
Linearized domain decomposition approaches for nonlinear boundary value problems. (English) Zbl 1402.65072
On the pointwise iteration-complexity of a dynamic regularized ADMM with over-relaxation stepsize. (English) Zbl 1427.90216
An improved EMD method with modified envelope algorithm based on \(C^2\) piecewise rational cubic spline interpolation for EMI signal decomposition. (English) Zbl 1423.94021
Stochastic forward Douglas-Rachford splitting method for monotone inclusions. (English) Zbl 1461.47031
Giselsson, Pontus (ed.) et al., Large-scale and distributed optimization. Contributions of the workshop, Lund, Sweden, June 14–16, 2017. Cham: Springer. Lect. Notes Math. 2227, 149-179 (2018).
Reviewer: Sorin-Mihai Grad (Wien)
On the complexity of the projective splitting and Spingarn’s methods for the sum of two maximal monotone operators. (English) Zbl 06931886
Relative-error approximate versions of Douglas-Rachford splitting and special cases of the ADMM. (English) Zbl 1401.90151
Pointwise and ergodic convergence rates of a variable metric proximal alternating direction method of multipliers. (English) Zbl 1433.90112
Monotone operator theory in convex optimization. (English) Zbl 1471.47033
Reviewer: Aviv Gibali (Karmiel)
Monotone decomposition of 2-additive generalized additive independence models. (English) Zbl 1397.91132
Asynchronous block-iterative primal-dual decomposition methods for monotone inclusions. (English) Zbl 1514.47095
Characterising inflations of monotone grid classes of permutations. (English) Zbl 1373.05001
MSC:
05A05
A simplified proof of weak convergence in Douglas-Rachford method to a solution of the unnderlying inclusion problem. arXiv:1809.00967
Preprint, arXiv:1809.00967 [math.OC] (2018).
A note on the equivalence of operator splitting methods. arXiv:1806.03353
Preprint, arXiv:1806.03353 [math.OC] (2018).
A domain decomposition Taylor Galerkin finite element approximation of a parabolic singularly perturbed differential equation. (English) Zbl 1411.65129
A finite element domain decomposition approximation for a semilinear parabolic singularly perturbed differential equation. (English) Zbl 1401.65107
Examples of \(r\)-convex functions and characterizations of \(r\)-convex functions associated with second-order cone. (English) Zbl 1387.26010
Affine nonexpansive operators, Attouch-Théra duality and the Douglas-Rachford algorithm. (English) Zbl 06804490
Continuity of Jones’ function is not preserved under monotone mappings. (English) Zbl 1384.54019
Reviewer: Matevž Črepnjak (Maribor)
Boundary treatment and multigrid preconditioning for semi-Lagrangian schemes applied to Hamilton-Jacobi-Bellman equations. (English) Zbl 1371.65085
Filter Results by …
Document Type
- Journal Articles (300)
- Collection Articles (26)
- Books (4)
- arXiv Preprints (13)
all
top 5
Author
- Boglaev, Igor P. (14)
- Bauschke, Heinz H. (12)
- Moursi, Walaa M. (12)
- Vũ, Bằng Công (10)
- Gonçalves, Max L. N. (9)
- Vought, Eldon Jon (8)
- Svaiter, Benar Fux (7)
- Combettes, Patrick L. (6)
- Dvurečenskij, Anatolij (6)
- Melo, Jefferson G. (6)
- Zeng, Jinping (6)
- Berninger, Heiko (5)
- Eckstein, Jonathan (5)
- Han, Deren (5)
- Li, Jun (5)
- Sander, Oliver (5)
- Zhou, Shuzi (5)
- Adamu, Abubakar (4)
- Adona, Vando A. (4)
- Kornhuber, Ralf (4)
- Kumam, Poom (4)
- Lapin, Aleksandr Vasil’evich (4)
- Mesiar, Radko (4)
- Monteiro, Renato D. C. (4)
- Phan, Hung M. (4)
- Wang, Shawn Xianfu (4)
- Alves, M. Marques (3)
- Attouch, Hedy (3)
- Campoy, Rubén (3)
- Cevher, Volkan (3)
- Chen, Guanghua (3)
- Grace, Edward E. (3)
- Kitkuan, Duangkamon (3)
- Pesquet, Jean-Christophe (3)
- Rosasco, Lorenzo A. (3)
- Vandenberghe, Lieven (3)
- Villa, Silvia (3)
- Voller, Rudolf L. (3)
- Walsh, John J. (3)
- Wega, Getahun Bekele (3)
- Zegeye, Habtu (3)
- Zhu, Daoli (3)
- Accardi, Luigi (2)
- Alduncin, Gonzalo (2)
- Badriev, Ildar B. (2)
- Bartz, Sedi (2)
- Bäsler, Christoph (2)
- Blokh, Alexander M. (2)
- Boccardo, Lucio (2)
- Briceño-Arias, Luis M. (2)
- Dao, Minh Ngoc (2)
- Fu, Norie (2)
- Geremia, Marina (2)
- Gordh, George R. jun. (2)
- Hardy, Matthew (2)
- Hare, Warren L. (2)
- He, Bingsheng (2)
- Ibrahim, Abdulkarim Hassan (2)
- Kosaki, Hideki (2)
- Krause, Rolf H. (2)
- Kumar, Bayya Venkatesulu Rathish (2)
- Kumar, Sunil (2)
- Kunoth, Angela (2)
- Laitinen, Erkki K. (2)
- Liao, Li-Zhi (2)
- Luke, David Russell (2)
- Macías, Sergio (2)
- Marcotte, Patrice (2)
- Martínez-Moreno, Juan (2)
- Munteanu, Marilena (2)
- Nadler, Sam B. jun. (2)
- Nasyrov, Farit Sagitovich (2)
- O’Connor, Daniel A. (2)
- Ouyang, Yao (2)
- Ozsahin, Dilber Uzun (2)
- Padcharoen, Anantachai (2)
- Pap, Endre (2)
- Papadimitriou, Dimitri (2)
- Pavarino, Luca Franco (2)
- Picard, Rainer H. (2)
- Rébillé, Yann (2)
- Repetti, Audrey (2)
- Rockafellar, Ralph Tyrrell (2)
- Shibuta, Takafumi (2)
- Shishkin, Grigoriĭ Ivanovich (2)
- Singh, Shambhavi (2)
- Smith, Michel (2)
- Solodov, Mikhail V. (2)
- Takahashi, Wataru (2)
- Tanahashi, Kôtarô (2)
- Tseng, Paul (2)
- Van Ransbeeck, P. (2)
- Weber, Hans Josef Karl (2)
- Wu, Shaoping (2)
- Xue, Feng (2)
- Yang, Hai (2)
- Abdulle, Assyr (1)
- Acosta Vigil, María Dolores (1)
- Adam, Aisha Aminu (1)
- Adly, Samir (1)
- and 334 more Authors
all
top 5
Serial
- J. Optim. Theory Appl. (13)
- Math. Program. (13)
- SIAM J. Optim. (13)
- J. Comput. Appl. Math. (9)
- Trans. Am. Math. Soc. (6)
- Topology Appl. (6)
- Set-Valued Var. Anal. (6)
- Appl. Math. Comput. (5)
- Fundam. Math. (5)
- Fuzzy Sets Syst. (5)
- Numer. Funct. Anal. Optim. (5)
- Proc. Am. Math. Soc. (5)
- J. Glob. Optim. (5)
- Computing (4)
- SIAM J. Control Optim. (4)
- Comput. Optim. Appl. (4)
- Topol. Proc. (4)
- Optim. Methods Softw. (4)
- Houston J. Math. (3)
- Inf. Sci. (3)
- SIAM J. Numer. Anal. (3)
- Optimization (3)
- Linear Algebra Appl. (3)
- SIAM J. Sci. Comput. (3)
- J. Convex Anal. (3)
- Comput. Math. Appl. (2)
- IMA J. Numer. Anal. (2)
- Math. Methods Appl. Sci. (2)
- Stud. Math. (2)
- Appl. Math. Optim. (2)
- Math. Oper. Res. (2)
- Math. Soc. Sci. (2)
- Acta Math. Appl. Sin., Engl. Ser. (2)
- Math. Appl. (2)
- Numer. Algorithms (2)
- Int. J. Comput. Math. (2)
- ETNA, Electron. Trans. Numer. Anal. (2)
- Adv. Comput. Math. (2)
- Comput. Vis. Sci. (2)
- Infin. Dimens. Anal. Quantum Probab. Relat. Top. (2)
- J. Nonlinear Convex Anal. (2)
- J. Numer. Math. (2)
- Found. Phys. (2)
- Optim. Lett. (2)
- SIAM J. Imaging Sci. (2)
- Fixed Point Theory Algorithms Sci. Eng. (2)
- Acta Inf. (1)
- Acta Mech. (1)
- Adv. Appl. Probab. (1)
- Appl. Anal. (1)
- Comput. Methods Appl. Mech. Eng. (1)
- Comput. Phys. Commun. (1)
- Discrete Appl. Math. (1)
- Discrete Math. (1)
- IEEE Trans. Reliab. (1)
- Inf. Process. Lett. (1)
- J. Math. Anal. Appl. (1)
- J. Math. Biol. (1)
- J. Math. Phys. (1)
- Math. Notes (1)
- Period. Math. Hung. (1)
- Rep. Math. Phys. (1)
- Rocky Mt. J. Math. (1)
- Russ. Math. Surv. (1)
- Usp. Mat. Nauk (1)
- Z. Angew. Math. Mech. (1)
- Zh. Vychisl. Mat. Mat. Fiz. (1)
- Theory Probab. Appl. (1)
- Acta Math. Vietnam. (1)
- Acta Sci. Math. (1)
- Bull. Lond. Math. Soc. (1)
- Duke Math. J. (1)
- Funct. Approximatio, Comment. Math. (1)
- Funct. Anal. Appl. (1)
- Integral Equations Oper. Theory (1)
- J. Approx. Theory (1)
- J. Comb. Theory, Ser. A (1)
- J. Differ. Equations (1)
- J. Funct. Anal. (1)
- J. Multivariate Anal. (1)
- Kybernetika (1)
- Math. Operationsforsch. Stat., Ser. Optimization (1)
- Math. Program. (1)
- Nagoya Math. J. (1)
- Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods (1)
- Numer. Math. (1)
- Pac. J. Math. (1)
- Prog. Math., Allahabad (1)
- Rend. Ist. Mat. Univ. Trieste (1)
- Rostocker Math. Kolloq. (1)
- Semigroup Forum (1)
- SIAM J. Comput. (1)
- Sib. Mat. Zh. (1)
- Stochastica (1)
- Numer. Math., Nanjing (1)
- Chin. Ann. Math. (1)
- Math. Numer. Sin. (1)
- Ergodic Theory Dyn. Syst. (1)
- Acta Math. Appl. Sin. (1)
- Stat. Probab. Lett. (1)
- and 70 more Serials
all
top 5
Year of Publication
- 2024 (11)
- 2023 (12)
- 2022 (13)
- 2021 (12)
- 2020 (12)
- 2019 (15)
- 2018 (15)
- 2017 (11)
- 2016 (7)
- 2015 (12)
- 2014 (9)
- 2013 (13)
- 2012 (6)
- 2011 (8)
- 2010 (6)
- 2009 (9)
- 2008 (10)
- 2007 (7)
- 2006 (5)
- 2005 (6)
- 2004 (11)
- 2003 (8)
- 2002 (5)
- 2001 (8)
- 2000 (8)
- 1999 (2)
- 1998 (5)
- 1997 (8)
- 1996 (7)
- 1995 (3)
- 1994 (4)
- 1993 (6)
- 1992 (3)
- 1991 (3)
- 1990 (6)
- 1989 (4)
- 1988 (8)
- 1987 (1)
- 1986 (4)
- 1985 (3)
- 1984 (6)
- 1983 (5)
- 1982 (7)
- 1981 (7)
- 1980 (4)
- 1979 (5)
- 1978 (3)
all
top 3
Main Field
- 65-XX (143)
- 49-XX (130)
- 47-XX (126)
- 90-XX (111)
- 35-XX (53)
- 54-XX (37)
- 28-XX (17)
- 46-XX (16)
- 06-XX (11)
- 68-XX (11)
- 15-XX (9)
- 76-XX (9)
- 37-XX (8)
- 74-XX (8)
- 81-XX (8)
- 94-XX (8)
- 05-XX (7)
- 26-XX (7)
- 52-XX (7)
- 62-XX (7)
- 91-XX (7)
- 60-XX (6)
- 57-XX (5)
- 03-XX (4)
- 34-XX (4)
- 41-XX (4)
- 13-XX (3)
- 51-XX (3)
- 00-XX (2)
- 58-XX (2)
- 78-XX (2)
- 92-XX (2)
- 93-XX (2)
- 30-XX (1)
- 31-XX (1)
- 32-XX (1)
- 39-XX (1)
- 80-XX (1)
- 82-XX (1)
all
top 3
Software
- GADMM (6)
- UNLocBoX (6)
- UCI-ml (4)
- UG (4)
- DUNE (3)
- GeoGebra (3)
- Julia (3)
- 2EBD-HPE (2)
- 4ti2 (2)
- Amira (2)
- IML - Integer Matrix Library (2)
- L-BFGS (2)
- Macaulay2 (2)
- PipLib (2)
- isl (2)
- Adam (1)
- AneuRisk65 (1)
- BRENT (1)
- BSDS (1)
- CVX (1)
- DnCNN (1)
- Eigtool (1)
- FEATFLOW (1)
- Getfem++ (1)
- Gmsh (1)
- HSL (1)
- Hopscotch (1)
- ISTA-Net (1)
- ImageNet (1)
- JACK (1)
- L-BFGS-B (1)
- LAPACK (1)
- LBFGS-B (1)
- LFA (1)
- LIBSVM (1)
- MGOO (1)
- MINPACK-2 (1)
- Maple (1)
- Mathematica (1)
- NOMAD (1)
- PESTO (1)
- PLCP (1)
- RecPF (1)
- SageMath (1)
- UMFPACK (1)
- Wasserstein GAN (1)
- Wesseling (1)
- ZIBAmira (1)
- barvinok (1)
- gnuplot (1)
- pchip (1)
- rare (1)
