• GloptiPoly

  • Referenced in 327 articles [sw04343]
  • hierarchy of semidefinite programming (SDP), or linear matrix inequality (LMI) relaxations of the GPM, whose ... monotone sequence of optimal values converges to the global optimum...
  • SCCP

  • Referenced in 79 articles [sw03318]
  • Convergence of a non-interior continuation algorithm for the monotone SCCP It is well known ... algorithm solves at most one system of linear equations at each iteration. By using ... that the algorithm is globally linearly and locally quadratically convergent under suitable assumptions...
  • filterSQP

  • Referenced in 58 articles [sw04725]
  • promote global convergence. The solver runs with a dense or a sparse linear algebra package...
  • PSwarm

  • Referenced in 68 articles [sw00742]
  • linearly constrained global derivative-free optimization. PSwarm was developed originally for the global optimization ... specifically, a coordinate search method, which guarantees convergence to stationary points from arbitrary starting points ... method with the capability of finding a global minimizer. Our extensive numerical experiments showed that ... resulting algorithm is highly competitive with other global optimization methods based only on function values...
  • lobpcg.m

  • Referenced in 146 articles [sw24008]
  • space of the corresponding homogeneous system of linear equations under the assumption that the eigenvalue ... problems in terms of the speed of convergence, costs of every iteration, and memory requirements ... those by the much more expensive global optimization method on the same generalized block Krylov...
  • QDPA

  • Referenced in 10 articles [sw12759]
  • original system, so no linearization is needed. To improve global convergence, the QDPA uses subspace...
  • BADMM

  • Referenced in 36 articles [sw20288]
  • Bethe ADMM. We establish the global convergence and the O(1/T) iteration complexity for BADMM ... n/log(n)). In solving the linear program of mass transportation problem, BADMM leads to massive...
  • iOptimize

  • Referenced in 4 articles [sw20377]
  • implementation in iOptimize maintains global linear and polynomial time convergence properties, while achieving practical performance...
  • POLSYS_GLP

  • Referenced in 9 articles [sw07346]
  • general linear product homotopy code for solving polynomial systems of equations Globally convergent, probability ... types and MPI to support a general linear product (GLP) polynomial system structure. GLP structure...
  • reducedLP

  • Referenced in 12 articles [sw04821]
  • with many inequality constraints Consider solving a linear program in standard form where the constraint ... case of the affine-scaling algorithm, global convergence and local quadratic convergence are proved...
  • ARock

  • Referenced in 32 articles [sw16800]
  • abstracts many problems in numerical linear algebra, optimization, and other areas of data science ... agents share x through either global memory or communication. If writing x i is atomic ... probability one, ARock generates a sequence that converges to a fixed point ... weaker than those in comparable work. Linear convergence is obtained under suitable assumptions. We propose...
  • TRICE

  • Referenced in 46 articles [sw05197]
  • linearized constraints but use solutions of the linearized state equation and the adjoint equation. They ... methods, including many iterative techniques.par Global convergence of these algorithms to a first-order Karush...
  • TRIC

  • Referenced in 47 articles [sw02165]
  • flat shell element suitable for large-scale linear and nonlinear engineering computations of thin ... natural stiffness matrix to the local and global Cartesian coordinates. The modes show explicitly ... purpose of the element TRIC; fast convergence is observed in many examples...
  • GAITA

  • Referenced in 2 articles [sw19464]
  • conditions, we establish its global $ ext{convergence}^{1}$, eventual linear rate, and the convergence...
  • QPALM

  • Referenced in 6 articles [sw35397]
  • prove global convergence of such iterations to a stationary point at an R-linear rate...
  • SHOT

  • Referenced in 20 articles [sw15630]
  • algorithm solves a sequence of mixed-integer linear programming or mixed-integer quadratic programming subproblems ... proven that the ESH algorithm converges to a global optimum for convex MINLP problems...
  • FMS

  • Referenced in 10 articles [sw31728]
  • data, FMS converges to a point which is near to the global minimum with overwhelming ... iteration complexity is globally bounded and locally r-linear. The latter theorem holds...
  • SDMINMAX

  • Referenced in 12 articles [sw36992]
  • propose a new derivative-free algorithm for linearly constrained finite minimax problems ... derivative-free algorithm which is globally convergent toward standard stationary points of the finite minimax...
  • ORB5

  • Referenced in 12 articles [sw10369]
  • collisionless PIC code in magnetic coordinates. A global plasma turbulence simulation code, ORB5, is presented ... processors and 109 marker particles. Various numerical convergence tests are performed. The code is validated ... against other codes for a selection of linear and nonlinear tests...
  • GYGLES

  • Referenced in 8 articles [sw17824]
  • magnetic coordinates. We present a fully-global linear gyrokinetic simulation code (GYGLES) aimed at describing ... defined in magnetic coordinates, which provides numerical convergence. The poloidal mode structure corresponding...