• Adam

• Referenced in 737 articles [sw22205]
• Method for Stochastic Optimization. We introduce Adam, an algorithm for first-order gradient-based optimization ... adaptive estimates of lower-order moments. The method is straightforward to implement, is computationally efficient...

• NESTA

• Referenced in 131 articles [sw06576]
• NESTA: A fast and accurate first-order method for sparse recovery. Accurate signal recovery ... smoothing technique and an accelerated first-order algorithm, both from {it Yu. Nesterov} [Math. Program ... with recently proposed state-of-the-art methods. We also apply the algorithm to solve...

• SCS

• Referenced in 47 articles [sw16632]
• first order method for solving very large cone programs to modest accuracy. The method uses ... operator splitting method, the alternating directions method of multipliers, to solve the homogeneous self-dual ... favorable properties. Compared to interior-point methods, first-order methods scale to very large problems ... lower accuracy. Compared to other first-order methods for cone programs, our approach finds both...

• PESTO

• Referenced in 34 articles [sw20864]
• them: Exact worst-case performance of first-order methods for composite convex optimization. We provide ... broad class of oracle-based first-order methods for composite convex optimization, including those performing...

• SLEP

• Referenced in 41 articles [sw13487]
• with Efficient Projections. Main Features: 1) First-Order Method. At each iteration, we only need ... smooth convex optimization via the first-order black-box methods. 3) Efficient Projection. The projection...

• CafeOBJ

• Referenced in 171 articles [sw06232]
• supported method for verifying safety properties of dynamic systems based on the first-order description...

• FPC_AS

• Referenced in 68 articles [sw12218]
• first stage a first-order iterative “shrinkage” method yields an estimate of the subset...

• SDPNAL+

• Referenced in 53 articles [sw13239]
• publicly available first order methods based codes: (1) an alternating direction method of multipliers based ... Monteiro et al. [“A first-order block-decomposition method for solving two-easy-block structured...

• REDLOG

• Referenced in 166 articles [sw04250]
• algorithms for the symbolic manipulation of first-order formulas over some temporarily fixed language ... theory. In contrast to theorem provers, the methods applied know about the underlying algebraic theory...

• na28

• Referenced in 16 articles [sw11502]
• total variation image reconstruction via first-order methods. This paper describes new algorithms and related ... based on one of Nesterov’s first-order methods, tailored to the image processing applications...

• MUSTA

• Referenced in 12 articles [sw09091]
• MUSTA: a multi-stage numerical flux. Numerical methods for conservation laws constructed in the framework ... first-order mode we observe that the scheme achieves the accuracy of the Godunov method ... Riemann solver, which is the reference first-order method for hyperbolic systems. At least ... scheme is the best of all first-order monotone schemes, it has the smallest truncation...

• GFORCE

• Referenced in 22 articles [sw06607]
• that of the Godunov first-order upwind method. Then we incorporate GFORCE in the framework...

• 2EBD-HPE

• Referenced in 15 articles [sw31879]
• first-order block-decomposition method for solving two-easy-block structured semidefinite programs. The paper ... deals with a new first-order block-decomposition method which is proposed to minimize...

• SEISCOPE

• Referenced in 6 articles [sw19396]
• FORTRAN 90 routines, which implement first-order methods (steepest-descent and nonlinear conjugate gradient ... this class of problems presents two advantages. First, it helps to separate the routines depending ... from faster convergence rates compared to first-order methods, significant improvements in terms of computational...

• FOM

• Referenced in 6 articles [sw27158]
• MATLAB toolbox of first-order methods for solving convex optimization problems. This paper presents ... solving convex optimization problems using first-order methods. The diverse features of the eight solvers...

• ODEtools

• Referenced in 12 articles [sw09257]
• Computer algebra solving of first order ODEs using symmetry methods. A Maple V R.3/4 computer ... solving of first-order ordinary differential equations (ODEs) using Lie group symmetry methods is presented ... commands includes a first-order ODE solver and routines for, among other things: the explicit...

• FiOrdOs

• Referenced in 7 articles [sw06277]
• automated C-code generation of first-order methods for parametric convex programs with a quadratic...

• TRICE

• Referenced in 46 articles [sw05197]
• methods, including many iterative techniques.par Global convergence of these algorithms to a first-order Karush...

• ipfilter

• Referenced in 72 articles [sw04778]
• globalize the primal-dual interior-point method for nonlinear optimization, avoiding the use of merit ... dual step obtained from the perturbed first-order necessary conditions into a normal...

• CDCS

• Referenced in 3 articles [sw17618]
• sparse SDPs. We propose an efficient first-order method, based on the alternating direction method ... cost of our method is the same as applying a splitting method to the primal ... approach is more efficient than other first-order methods for generic sparse conic programs since ... semidefinite cones. In contrast to previous first-order methods that exploit chordal sparsity, our algorithm...