• RODAS

  • Referenced in 1695 articles [sw04112]
  • Rosenbrock method of order 4(3), for problems of the form...
  • 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...
  • Ode15s

  • Referenced in 330 articles [sw07426]
  • stiff differential equations and DAEs; variable order method...
  • ode45

  • Referenced in 315 articles [sw06762]
  • ode45. Solve nonstiff differential equations; medium order method...
  • ode23

  • Referenced in 318 articles [sw06600]
  • ode23: Solve nonstiff differential equations; low order method. [T,Y] = solver(odefun,tspan,y0) with...
  • ode23s

  • Referenced in 297 articles [sw10137]
  • ode23s: Solve stiff differential equations; low order method...
  • ode113

  • Referenced in 296 articles [sw09634]
  • ode113: Solve nonstiff differential equations; variable order method...
  • MOOD

  • Referenced in 101 articles [sw39744]
  • high-order finite volume method for systems of conservation laws-multi-dimensional optimal order detection ... limitation process of high-order finite volume methods based on polynomial reconstructions. Multi-dimensional Optimal ... from classical limitations employed in high-order methods. The proposed method consists of detecting problematic...
  • 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...
  • Macaulay2

  • Referenced in 1904 articles [sw00537]
  • multi-graded polynomial rings with a monomial ordering. The core algorithms are accessible through ... mathematical objects and the installation of methods for computing specifically with them. Macaulay2 can compute...
  • KELLEY

  • Referenced in 631 articles [sw04829]
  • methods studied in this first part rely on the availability and accuracy of first order ... sometimes also second order derivatives of the objective function. The first part contains five chapters ... which are used to demonstrate all methods discussed in the first part. Chapter 2 studies...
  • ARPACK

  • Referenced in 841 articles [sw04218]
  • requires order n rather than the usual order n2 floating point operations. This software ... Arnoldi process called the Implicitly Restarted Arnoldi Method (IRAM). When the matrix A is symmetric ... Lanczos process called the Implicitly Restarted Lanczos Method (IRLM). These variants may be viewed ... largest magnitude. Storage requirements are on the order of n*k locations. No auxiliary storage...
  • SCS

  • Referenced in 47 articles [sw16632]
  • Dual Embedding. We introduce a first order method for solving very large cone programs ... 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 ... method in detail, including direct and indirect methods for computing projection onto the subspace, scaling...
  • Taylor

  • Referenced in 96 articles [sw10816]
  • ODEs by means of high-order Taylor methods. This paper revisits the Taylor method ... solution up to a given order plus adaptive selection of order and step size ... main drawback is that the Taylor method is an explicit method...
  • ROS3P

  • Referenced in 45 articles [sw00813]
  • nonlinear parabolic problems. Since Rosenbrock methods suffer from order reduction when they are applied ... been done to construct new methods. G. Steinebach [Order-reduction of ROW-methods for DAEs ... efficient third-order Rosenbrock solver for the nonlinear situation. Such a method exists with three ... only. A comparison with other third-order methods shows the substantial potential...
  • GQTPAR

  • Referenced in 325 articles [sw07451]
  • method has a limit point which satisfies the first and second order necessary conditions ... quite successful in a trust region method. In our tests a call to GQTPAR only...
  • SDPNAL+

  • Referenced in 53 articles [sw13239]
  • without nonnegative constraints show that the proposed method is not only fast but also robust ... other competitive publicly available first order methods based codes: (1) an alternating direction method ... Monteiro et al. [“A first-order block-decomposition method for solving two-easy-block structured...
  • MADM

  • Referenced in 131 articles [sw06484]
  • range of methods are covered including Analytic Hierarchy Process (AHP), Technique for Order Preference ... VIKOR), Data Envelopment Analysis (DEA), Preference Ranking METHod for Enrichment Evaluations (PROMETHEE), ELimination Et Choix ... Additive (UTA), and Ordered Weighted Averaging (OWA). The existing MADM methods are improved upon...
  • RADAU

  • Referenced in 76 articles [sw01118]
  • RADAU5 implicit Runge-Kutta method of order 5 (Radau IIA) for problems of the form...
  • PESTO

  • Referenced in 34 articles [sw20864]
  • 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...