Found 1,017 Documents (Results 1–100)
Sequential inertial linear ADMM algorithm for nonconvex and nonsmooth multiblock problems with nonseparable structure. (English) Zbl 07917592
A new prediction-correction primal-dual hybrid gradient algorithm for solving convex minimization problems with Linear constraints. (English) Zbl 07904654
Adaptive Bregman-Kaczmarz: an approach to solve linear inverse problems with independent noise exactly. (English) Zbl 07902809
A preconditioned alternating minimization framework for nonconvex and half quadratic regularization. (English) Zbl 07896901
The use of a family of Gerstewitz scalarization functions in the context of vector optimization with variable domination structures to derive scalarization results. (English) Zbl 07896311
Customized Douglas-Rachford splitting methods for structured inverse variational inequality problems. (English) Zbl 07896306
Linearisation techniques and the dual algorithm for a class of mixed singular/continuous control problems in reinsurance. II: Numerical aspects. (English) Zbl 07894894
A criterion space algorithm for solving line 90ar multiplicative programming problems. (English) Zbl 07891521
On the convergence of orthogonalization-free conjugate gradient method for extreme eigenvalues of Hermitian matrices: a Riemannian optimization interpretation. (English) Zbl 07890893
Fast gradient algorithm with dry-like friction and nonmonotone line search for nonconvex optimization problems. (English) Zbl 07887991
Stochastic iterative methods for online rank aggregation from pairwise comparisons. (English) Zbl 1543.65036
The accelerated tensor Kaczmarz algorithm with adaptive parameters for solving tensor systems. (English) Zbl 1543.65037
Convergence analysis of a new relaxed algorithm with inertial for solving split feasibility problems. (English) Zbl 07884565
\(\mathcal{N}\)IPM-HLSP: an efficient interior-point method for hierarchical least-squares programs. (English) Zbl 07881277
Error bounds for linear complementarity problems of Nekrasov and generalized Nekrasov matrices. (English) Zbl 1543.65098
A randomized sparse Kaczmarz solver for sparse signal recovery via minimax-concave penalty. (English) Zbl 07869384
Douglas-Rachford algorithm for control-constrained minimum-energy control problems. (English) Zbl 1534.49021
Proximal linearized minimization algorithm for nonsmooth nonconvex minimization problems in image deblurring with Impulse noise. (English) Zbl 07808685
Approximate solutions for robust multiobjective optimization programming in Asplund spaces. (English) Zbl 1536.41025
Reviewer: Hüseyin Çakallı (İstanbul)
Efficient deep data assimilation with sparse observations and time-varying sensors. (English) Zbl 07807988
Relative regularity conditions and linear regularity properties for split feasibility problems in normed linear spaces. (English) Zbl 07782578
Inexact Riemannian Gradient Descent Method for Nonconvex Optimization. arXiv:2409.11181
Preprint, arXiv:2409.11181 [math.OC] (2024).
Riemann-Oracle: A general-purpose Riemannian optimizer to solve nearness problems in matrix theory. arXiv:2407.03957
Preprint, arXiv:2407.03957 [math.NA] (2024).
Projected Newton method for large-scale Bayesian linear inverse problems. arXiv:2403.01920
Preprint, arXiv:2403.01920 [math.NA] (2024).
Discrete Approximation of Optimal Transport on Compact Spaces. arXiv:2401.14538
Preprint, arXiv:2401.14538 [math.NA] (2024).
H-CMRH: a novel inner product free hybrid Krylov method for large-scale inverse problems. arXiv:2401.06918
Preprint, arXiv:2401.06918 [math.NA] (2024).
A new application of \(q\)-homotopy analysis method to solve non-linear optimal control problems. (English) Zbl 1543.65073
A novel algorithm for convex bi-level optimization problems in Hilbert spaces with applications. (English) Zbl 07829213
Distributed sketching for randomized optimization: exact characterization, concentration, and lower bounds. (English) Zbl 1542.62098
Boundary conditions for linear exit time gradient trajectories around saddle points: analysis and algorithm. (English) Zbl 1542.65066
Regularity of sets under a reformulation in a product space with reduced dimension. (English) Zbl 07793169
The Lawson-Hanson algorithm with deviation maximization: finite convergence and sparse recovery. (English) Zbl 07790614
A convex approximation for a PDE constrained fractional optimization problem with an application to photonic crystal design. (English) Zbl 1538.49048
Convex bi-level optimization problems with nonsmooth outer objective function. (English) Zbl 07771600
A mini-batch stochastic conjugate gradient algorithm with variance reduction. (English) Zbl 1528.90191
Randomized algorithms for the computation of multilinear rank-\((\mu_1,\mu_2,\mu_3)\) approximations. (English) Zbl 07762762
Hybrid reliability-based sequential optimization for PID vibratory controller design considering interval and fuzzy mixed uncertainties. (English) Zbl 1525.93143
On sparse approximations of solutions to linear systems with orthogonal matrices. (Russian. English summary) Zbl 07746240
Uniform optimization method for nonlinear control systems with distributed parameters. (Russian. English summary) Zbl 1538.90191
An approximate gradient-type method for nonlinear symmetric equations with convex constraints. (English) Zbl 07733943
Reordering-based Schur complement preconditioners for a class of two-by-two block complex linear systems. (English) Zbl 07727126
A smoothing Newton method based on the modulus equation for a class of weakly nonlinear complementarity problems. (English) Zbl 1522.90229
A gradient method exploiting the two dimensional quadratic termination property. (English) Zbl 1527.90260
Variable projection methods for separable nonlinear inverse problems with general-form Tikhonov regularization. (English) Zbl 07707676
LQR based optimal co-design for linear control systems with input and state constraints. (English) Zbl 1520.93156
A stochastic variance reduction algorithm with Bregman distances for structured composite problems. (English) Zbl 1519.90140
A modified generalized SOR-like method for solving an absolute value equation. (English) Zbl 07701630
Convergence of augmented Lagrangian methods in extensions beyond nonlinear programming. (English) Zbl 07681257
NESTANets: stable, accurate and efficient neural networks for analysis-sparse inverse problems. (English) Zbl 1524.68324
New stability analysis on a neural network method for linear complementarity problems. (English) Zbl 1507.90178
Piecewise linear relaxation method for globally solving a class of multiplicative problems. (English) Zbl 1507.90134
Two-phase image segmentation by nonconvex nonsmooth models with convergent alternating minimization algorithms. (English) Zbl 1524.94033
Structured controller synthesis through block-diagonal factorization and parameter space optimization. (English) Zbl 1505.93064
Error estimate for regularized optimal transport problems via Bregman divergence. arXiv:2309.11666
Preprint, arXiv:2309.11666 [math.OC] (2023).
Minimizing Quotient Regularization Model. arXiv:2308.04095
Preprint, arXiv:2308.04095 [math.NA] (2023).
Decentralized projected Riemannian gradient method for smooth optimization on compact submanifolds. arXiv:2304.08241
Preprint, arXiv:2304.08241 [math.OC] (2023).
On the numerical solution of Volterra and Fredholm integral equations using the fractional spline function method. (English) Zbl 07752794
The solution of a type of absolute value equations using two new matrix splitting iterative techniques. (English) Zbl 1517.65035
Accelerated Bregman primal-dual methods applied to optimal transport and Wasserstein Barycenter problems. (English) Zbl 1514.65079
Optimal design of model predictive controller based on transient search optimization applied to robotic manipulators. (English) Zbl 1508.93097
Sums of squares polynomial program reformulations for adjustable robust linear optimization problems with separable polynomial decision rules. (English) Zbl 1509.90134
A theoretical study of a bilateral term with a tensor-based fourth-order PDE for image super-resolution. (English) Zbl 07634933
Linear systems arising in interior methods for convex optimization: a symmetric formulation with bounded condition number. (English) Zbl 1518.65073
Convergence analysis of new inertial method for the split common null point problem. (English) Zbl 1508.65067
Error bounds for discretized optimal transport and its reliable efficient numerical solution. (English) Zbl 1502.49033
Hintermüller, Michael (ed.) et al., Non-smooth and complementarity-based distributed parameter systems. Simulation and hierarchical optimization. Cham: Birkhäuser. ISNM, Int. Ser. Numer. Math. 172, 1-20 (2022).
Level set of the asymptotic rate of convergence for the method of steepest descent. (English. Ukrainian original) Zbl 07602895
Ukr. Math. J. 74, No. 2, 203-217 (2022); translation from Ukr. Mat. Zh. 74, No. 2, 178-190 (2022).
Globalization of nonlinear FETI-DP domain decomposition methods using an SQP approach. (English) Zbl 1502.65207
Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca)
Linear convergence of first- and zeroth-order primal-dual algorithms for distributed nonconvex optimization. (English) Zbl 07599413
Projections onto the canonical simplex with additional linear inequalities. (English) Zbl 1501.90062
The reduced order method for solving the linear complementarity problem with an \(M\)-matrix. (English) Zbl 1497.90202
RidgeSketch: a fast sketching based solver for large scale ridge regression. (English) Zbl 1508.62001
Strong convergence analysis of a self adaptive method for solving split feasibility problem with multiple output sets. (English) Zbl 1500.47099
Linearisation techniques and the dual algorithm for a class of mixed singular/continuous control problems in reinsurance. I: Theoretical aspects. (English) Zbl 1510.65120
Numerical analysis and scientific computation. 2nd edition. (English) Zbl 1491.65003
Textbooks in Mathematics. Boca Raton, FL: CRC Press (ISBN 978-0-367-48686-0/hbk; 978-1-032-20483-3/pbk; 978-1-003-04227-3/ebook). xviii, 564 p. (2022).
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