Found 575 Documents (Results 1–100)
Third order dynamical systems for the sum of two generalized monotone operators. (English) Zbl 07916628
Three-operator reflected forward-backward splitting algorithm with double inertial effects. (English) Zbl 07896314
Customized Douglas-Rachford splitting methods for structured inverse variational inequality problems. (English) Zbl 07896306
Computational decomposition and composition technique for approximate solution of nonstationary problems. (English) Zbl 1542.65092
A finitely convergent circumcenter method for the convex feasibility problem. (English) Zbl 07887990
Physics-based preconditioning of Jacobian-free Newton-Krylov solver for Navier-Stokes equations using nodal integral method. (English) Zbl 07882689
Splitting augmented Lagrangian-type algorithms with partial quadratic approximation to solve sparse signal recovery problems. (English) Zbl 07881064
A new relaxed Tseng method for finding a common solution of fixed point and split monotone inclusion problems. (English) Zbl 07868041
An accelerated projection-based parallel hybrid algorithm for fixed point and split null point problems in Hilbert spaces. (English) Zbl 07861188
Dual descent augmented Lagrangian method and alternating direction method of multipliers. (English) Zbl 1539.65068
A Bregman inertial forward-reflected-backward method for nonconvex minimization. (English) Zbl 07850981
A note on progressive hedging algorithm for multistage stochastic variational inequalities. (English) Zbl 07850541
Generalized proximal point algorithms with correction terms and extrapolation. (English) Zbl 07846718
A generalized \(k\)-means problem for clustering and an ADMM-based \(k\)-means algorithm. (English) Zbl 07846715
Convergence analysis under consistent error bounds. (English) Zbl 1537.41011
Reviewer: Antonio López-Carmona (Granada)
Quantifying and eliminating the time delay in stabilization exponential time differencing Runge-Kutta schemes for the Allen-Cahn equation. (English) Zbl 07832695
MSC:
65Mxx
Randomized Douglas-Rachford methods for linear systems: improved accuracy and efficiency. (English) Zbl 07827013
Douglas-Rachford algorithm for control-constrained minimum-energy control problems. (English) Zbl 1534.49021
Strongly convergent inertial proximal point algorithm without on-line rule. (English) Zbl 1536.90151
Infeasibility detection with primal-dual hybrid gradient for large-scale linear programming. (English) Zbl 1539.90058
A successive centralized circumcentered-reflection method for the convex feasibility problem. (English) Zbl 1538.90101
A proximal fully parallel splitting method with a relaxation factor for separable convex programming. (English) Zbl 1534.90115
MSC:
90C25
Viscosity approximation for split monotone variational inclusions and fixed point problem. (English) Zbl 07884507
An iterative algorithm with applications for solving variational inclusion problems and nonexpansive mappings. (English) Zbl 07884502
Effect of temperature distribution on the calculation of the thermal current in the mathematical model of pulsed heating of a tungsten. (English) Zbl 07853827
Stability and convergence of the locally one-dimensional scheme A. A. Samarskii, approximating the multidimensional integro-differential equation of convection-diffusion with inhomogeneous boundary conditions of the first kind. (Russian. English summary) Zbl 07815840
Relaxed viscosity-type iterative methods with application to compressed sensing. (English) Zbl 07808300
A new stopping criterion for Eckstein and Bertsekas’s generalized alternating direction method of multipliers. (English) Zbl 07802585
Convergence of Bregman Peaceman-Rachford splitting method for nonconvex nonseparable optimization. (English) Zbl 07802573
Regularity of sets under a reformulation in a product space with reduced dimension. (English) Zbl 07793169
Efficient energy structure-preserving schemes for three-dimensional Maxwell’s equations. (English) Zbl 1535.78007
Fast Krasnosel’skiĭ-Mann algorithm with a convergence rate of the fixed point iteration of \(o\left(\frac{1}{k}\right)\). (English) Zbl 07770187
Modified inertial algorithms for inclusion problems with numerical experiments and application to image restoration. (English) Zbl 07761021
An operator-splitting approach for variational optimal control formulations for diffeomorphic shape matching. (English) Zbl 07748049
Some extensions of the operator splitting schemes based on Lagrangian and primal-dual: a unified proximal point analysis. (English) Zbl 1533.90125
A projective splitting method for monotone inclusions: iteration-complexity and application to composite optimization. (English) Zbl 1522.90274
On the stability of a locally one-dimensional difference scheme for a first-order linear differential-algebraic system of index \((1, 0)\). (English. Russian original) Zbl 07736672
Russ. Math. 67, No. 4, 31-43 (2023); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2023, No. 3, 37-50 (2023).
Forward-backward-forward algorithms involving two inertial terms for monotone inclusions. (English) Zbl 1538.65641
Unrestricted Douglas-Rachford algorithms for solving convex feasibility problems in Hilbert space. (English) Zbl 07724375
The landscape of the proximal point method for nonconvex-nonconcave minimax optimization. (English) Zbl 1522.90258
Principled analyses and design of first-order methods with inexact proximal operators. (English) Zbl 1522.90074
Faster first-order primal-dual methods for linear programming using restarts and sharpness. (English) Zbl 1522.90024
Approximate Douglas-Rachford algorithm for two-sets convex feasibility problems. (English) Zbl 1515.65151
Coarse geometric kernels for networks embedding. (English) Zbl 1527.53015
Reviewer: Federico Vigolo (Göttingen)
A three-operator splitting algorithm with deviations for generalized DC programming. (English) Zbl 1527.90172
A symmetric splitting sequential quadratic optimization algorithm for two-block nonlinearly constrained nonconvex optimization. (English) Zbl 1524.65220
A novel projection method for split feasibility problems with applications to compressive sensing. (English) Zbl 1524.49014
Strong convergence for the alternating Halpern-Mann iteration in \(\mathrm{CAT}(0)\) spaces. (English) Zbl 1519.47080
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)
Efficient decoupling schemes for multiscale multicontinuum problems in fractured porous media. (English) Zbl 07690217
A Bregman-style partially symmetric alternating direction method of multipliers for nonconvex multi-block optimization. (English) Zbl 1518.90080
An inertial proximal point method for difference of maximal monotone vector fields in Hadamard manifolds. (English) Zbl 1515.65148
A unified and tight linear convergence analysis of the relaxed proximal point algorithm. (English) Zbl 1524.65218
On the weak and strong convergence of modified forward-backward-half-forward splitting methods. (English) Zbl 1520.47105
On the computation of equilibria in monotone and potential stochastic hierarchical games. (English) Zbl 07667534
Resolvent of the parallel composition and the proximity operator of the infimal postcomposition. (English) Zbl 1519.47050
Theoretical characteristics and numerical methods for a class of special piecewise quadratic optimization. (English) Zbl 1527.90142
A superlinearly convergent splitting feasible sequential quadratic optimization method for two-block large-scale smooth optimization. (English) Zbl 1513.90178
High order PDE-convergence of AMF-W methods for 2D-linear parabolic problems. (English) Zbl 1496.65141
Centering projection methods for wavelet feasibility problems. (English) Zbl 1542.90189
Cerejeiras, Paula (ed.) et al., Current trends in analysis, its applications and computation. Proceedings of the 12th ISAAC congress, Aveiro, Portugal, July 29 – August 3, 2019. Cham: Birkhäuser. Trends Math., 661-669 (2022).
On the numerical solution of the Kuramoto-Sivashinsky equation using operator-splitting method. (English) Zbl 1532.65043
Convergence analysis of modified inertial forward-backward splitting scheme with applications. (English) Zbl 1532.65034
Gradient-based Markov chain Monte Carlo for Bayesian inference with non-differentiable priors. (English) Zbl 1524.62473
A locally one-dimensional difference scheme for a multidimensional integro-differential equation of parabolic type of general form. (English) Zbl 07705588
Tchernykh, Andrei (ed.) et al., Mathematics and its applications in new computer systems. MANCS-2021. Proceedings of the international conference, Stavropol, Russia, December 13–15, 2021. Cham: Springer. Lect. Notes Netw. Syst. 424, 525-536 (2022).
MSC:
65-XX
Time-discretization of a plasma-neutral MHD model with a semi-implicit leapfrog algorithm. (English) Zbl 07699264
Mixed-projection conic optimization: a new paradigm for modeling rank constraints. (English) Zbl 1510.90259
Asymptotic behaviour of a nonautonomous evolution equation governed by a quasi-nonexpansive operator. (English) Zbl 1512.34108
Reviewer: Rodica Luca (Iaşi)
Approximation schemes for materials with discontinuities. (English) Zbl 1513.74022
Schröder, Jörg (ed.) et al., Non-standard discretisation methods in solid mechanics. Cham: Springer. Lect. Notes Appl. Comput. Mech. 98, 505-565 (2022).
A parallel type decomposition scheme for quasi-linear abstract hyperbolic equation. (English) Zbl 1505.65256
On a difference scheme for solution of the Dirichlet problem for diffusion equation with a fractional Caputo derivative in the multidimensional case in a domain with an arbitrary boundary. (Russian. English summary) Zbl 1513.65433
Locally one-dimensional schemes for quasilinear parabolic equations with time fractional derivative. (English) Zbl 07610448
Badriev, Ildar B. (ed.) et al., Mesh methods for boundary-value problems and applications. 13th international conference, Kazan, Russia, October 20–25, 2020. Cham: Springer. Lect. Notes Comput. Sci. Eng. 141, 279-291 (2022).
MSC:
65Nxx
Convergence and rate analysis of a proximal linearized ADMM for nonconvex nonsmooth optimization. (English) Zbl 1505.90096
MSC:
90C26
Finite-difference methods for solving a nonlocal boundary value problem for a multidimensional parabolic equation with boundary conditions of integral form. (Russian. English summary) Zbl 1500.65038
A modified forward-backward splitting method for sum of monotone operators and demicontractive mappings. (English) Zbl 07582443
A product space reformulation with reduced dimension for splitting algorithms. (English) Zbl 1517.47098
Fast convergence of generalized forward-backward algorithms for structured monotone inclusions. (English) Zbl 1496.90058
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