Optimization Methods & Software

Papers
(The median citation count of Optimization Methods & Software is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2022-06-01 to 2026-06-01.)
ArticleCitations
An adaptive regularization method in Banach spaces47
FLECS: a federated learning second-order framework via compression and sketching26
Sparse convex optimization toolkit: a mixed-integer framework23
A majorization penalty method for SVM with sparse constraint23
Computing subgradients of convex relaxations for solutions of parametric ordinary differential equations21
Discretization and quantification for distributionally robust optimization with decision-dependent ambiguity sets18
Exact gradient methods with memory17
A two-step new modulus-based matrix splitting method for vertical linear complementarity problem16
A proximal-gradient inertial algorithm with Tikhonov regularization: strong convergence to the minimal norm solution12
The largest- K -norm for general measure spaces and a DC reformulation for L 0 -constrained problems in function sp12
Variance-reduction for variational inequality problems with Bregman distance function11
Correction9
Practical perspectives on symplectic accelerated optimization8
Toward state estimation by high gain differentiators with automatic differentiation8
Numerical simulation of differential-algebraic equations with embedded global optimization criteria7
The Dai–Liao-type conjugate gradient methods for solving vector optimization problems7
Spatially sparse optimization problems in fractional order Sobolev spaces7
A first-order method for nonconvex-strongly-concave constrained minimax optimization6
A hybrid optimal control problem constrained with hyperelasticity and the global injectivity condition6
A mixed-integer programming formulation for optimizing the double row layout problem6
Conic optimization-based algorithms for nonnegative matrix factorization6
One-point feedback for composite optimization with applications to distributed and federated learning6
Two RMIL-type schemes with compressed sensing applications6
Worst-case evaluation complexity of a quadratic penalty method for nonconvex optimization5
The generalized conditional gradient method for multiobjective composite optimization problems with non-monotone line search5
The role of local steps in local SGD5
Robust GAN inversion5
Block coordinate descent methods of centres for solving block-constrained optimization problems5
On the proximal point algorithm for strongly quasiconvex functions in Hadamard spaces5
Indirect methods for optimal control of parabolic hybrid PDE-dynamical/switching systems using relaxation5
A smoothing method for solving quadratic convex separable knapsack problems5
A note on the generalized Hessian of the least squares associated with systems of linear inequalities5
On the numerical performance of finite-difference-based methods for derivative-free optimization5
Sequential hierarchical least-squares programming for prioritized non-linear optimal control5
AN-SPS: adaptive sample size nonmonotone line search spectral projected subgradient method for convex constrained optimization problems4
Decentralized gradient tracking with local steps4
Near-optimal tensor methods for minimizing the gradient norm of convex functions and accelerated primal–dual tensor methods4
Cone-compactness of a set and related topological properties: stability issues and applications4
Proximal subgradient method for non-Lipschitz objective functions4
Customized Douglas-Rachford splitting methods for structured inverse variational inequality problems4
Preface for the special issue honouring Andreas Griewank4
Three-operator reflected forward-backward splitting algorithm with double inertial effects4
A family of limited memory three term conjugate gradient methods4
A meta-heuristic extension of the Lagrangian heuristic framework4
On pseudoinverse-free randomized methods for linear systems: unified framework and acceleration3
Towards global parameter estimation exploiting reduced data sets3
Superlinear convergence of an interior point algorithm on linear semi-definite feasibility problems3
2023 Charles Broyden Prize Winner3
Accelerated gradient methods with absolute and relative noise in the gradient3
A gradient descent akin method for constrained optimization: algorithms and applications3
A general framework for floating point error analysis of first-order simplex derivatives3
On the complexity of a quadratic regularization algorithm for minimizing nonsmooth and nonconvex functions3
Inexact tensor methods and their application to stochastic convex optimization3
A trust-region scheme for constrained multi-objective optimization problems with superlinear convergence property3
Distributionally robust joint chance-constrained programming with Wasserstein metric3
An efficient model for the multiple allocation hub maximal covering problem3
Barzilai–Borwein-like rules in proximal gradient schemes for ℓ 1 -regularized problems3
Numerical methods for distributed stochastic compositional optimization problems with aggregative structure3
Foreword3
Dual spectral projected gradient method for generalized log-det semidefinite programming3
Interior point methods for solving Pareto eigenvalue complementarity problems3
Two modified conjugate gradient methods for unconstrained optimization3
FRanDI: data-free neural network compression via feature regression and deep inversion3
Numerical eigenvalue optimization by shape variations for Maxwell's eigenvalue problem2
Convergences for robust bilevel polynomial programmes with applications2
A novel approach for solving a class of diffusion identification problems2
Parametric transformation approach for non-linear interval fractional programming: a case study on water-efficient cultivation2
An approximate Newton-type proximal method using symmetric rank-one updating formula for minimizing the nonsmooth composite functions2
Fast warped iteration for nonmonotone inclusions with a convergence rate of o (1k)2
Sequential path-equilibration algorithm for highly accurate traffic flow assignment in an urban road network2
Interface identification constrained by local-to-nonlocal coupling*2
A bundle trust-region algorithm for nonsmooth nonconvex constrained optimization2
An incremental descent method for multi-objective optimization2
Approximating Hessian matrices using Bayesian inference: a new approach for quasi-Newton methods in stochastic optimization2
Optimized convergence of stochastic gradient descent by weighted averaging2
Self-concordant smoothing in proximal quasi-Newton algorithms for large-scale convex composite optimization2
Generating linear, semidefinite, and second-order cone optimization problems for numerical experiments2
Distributed learning with compressed gradient differences2
Two efficient spectral hybrid CG methods based on memoryless BFGS direction and Dai–Liao conjugacy condition2
Penalty decomposition derivative free method for the minimization of partially separable functions over a convex feasible set2
An inexact restoration direct multisearch filter approach to multiobjective constrained derivative-free optimization2
Preface2
Reduced basis model predictive control for semilinear parabolic partial differential equations2
Non-convex regularization and accelerated gradient algorithm for sparse portfolio selection2
Bilevel optimization with a multi-objective lower-level problem: risk-neutral and risk-averse formulations2
On minty variational principle for quasidifferentiable vector optimization problems2
An improved spectral CG method based on Dai–Liao conjugacy condition and quasi-Newton direction2
Sequential approximate optimization with adaptive parallel infill strategy assisted by inaccurate Pareto front2
Robust reverse 1-center problems on trees with interval costs2
New iterative algorithms with self-adaptive step size for solving split equality fixed point problem and its applications2
Distributionally robust expected residual minimization for stochastic variational inequality problems1
A derivative free projection method for the singularities of vector fields with convex constraints on Hadamard manifolds1
On the implementation of a quasi-Newton interior-point method for PDE-constrained optimization using finite element discretizations1
Incremental quasi-Newton algorithms for solving a nonconvex, nonsmooth, finite-sum optimization problem1
An active set method for bound-constrained optimization1
A finite convergence algorithm for solving linear-quadratic network games with strategic complements and bounded strategies1
A new multipoint symmetric secant method with a dense initial matrix1
Shape-changing trust-region methods using multipoint symmetric secant matrices1
Delay-tolerant distributed Bregman proximal algorithms1
Least squares monotonic unimodal approximations to successively updated data and an application to a Covid-19 outbreak1
A gradient-based method for joint chance-constrained optimization with continuous distributions1
A new spectral conjugate subgradient method with application in computed tomography image reconstruction1
A quasi-Newton method in shape optimization for a transmission problem1
ATE-SG: alternate through the epochs stochastic gradient for multi-task neural networks1
Implementation of a projection and rescaling algorithm for second-order conic feasibility problems1
Complexity and performance for two classes of noise-tolerant first-order algorithms1
Direct-search methods for decentralized blackbox optimization1
A branch and bound method solving the max–min linear discriminant analysis problem1
GBOML: a structure-exploiting optimization modelling language in Python1
Crossing edge minimization in radial outerplanar layered graphs using segment paths1
Linear programming with nonparametric penalty programs and iterated thresholding1
AB /Push-Pull method for distributed optimization in time-varying directed networks1
Tensor decompositions for count data that leverage stochastic and deterministic optimization1
Parallel interior-point solver for block-structured nonlinear programs on SIMD/GPU architectures1
Stochastic distributed learning with gradient quantization and double-variance reduction1
Two families of hybrid conjugate gradient methods with restart procedures and their applications1
Complexity of a class of first-order objective-function-free optimization algorithms1
PathWyse: a flexible, open-source library for the resource constrained shortest path problem1
PDE-constrained shape optimization with first-order and Newton-type methods in the W 1,∞ topology1
Operator splitting for adaptive radiation therapy with nonlinear health dynamics1
Exponential convergence rates of a second-order dynamic system and algorithm for a linear equality constrained optimization problem1
Outer approximation algorithms for convex vector optimization problems1
A new inertial projected reflected gradient method with application to optimal control problems1
Using general triangle inequalities within quadratic convex reformulation method1
Projection onto the exponential cone: a univariate root-finding problem1
Extending a continuous RLT-based algorithm to mixed-integer polynomial problems1
Near-optimal algorithm with complexity separation for strongly convex-strongly concave composite saddle point problems1
Closing duality gaps of SDPs completely through perturbation when singularity degree is one1
Gradient-type methods for decentralized optimization problems with Polyak–Łojasiewicz condition over time-varying networks1
Zeroth-order methods for non-smooth stochastic problems under heavy-tailed noise1
SLiSeS: subsampled line search spectral gradient method for finite sums1
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