• BLOPEX

• Referenced in 27 articles [sw04024]
• Optimal Block Preconditioned Conjugate Gradient Method (LOBPCG). Its main features are: a matrix-free iterative ... conditioning of the stiffness matrix; and apparently optimal convergence speed. BLOPEX supports parallel MPI-based...

• hyper.deal

• Referenced in 4 articles [sw40666]
• equations. This work presents the efficient, matrix-free finite-element library hyper.deal for solving partial ... library provides new special-purpose highly optimized matrix-free functions exploiting domain decomposition as well...

• MSS

• Referenced in 6 articles [sw08530]
• BFGS setting for large-scale optimization. The MSS method makes use of a recently proposed ... plementation is a matrix-free iterative method for large-scale optimization. Numerical experiments...

• LSTRS

• Referenced in 32 articles [sw04729]
• iterative procedure that finds the optimal value for the parameter. The adjustment of the parameter ... problem at each step. LSTRS relies on matrix-vector products only ... computations. In the MATLAB implementation, the Hessian matrix of the quadratic objective function ... matrix-vector multiplication routine. Therefore, the implementation preserves the matrix-free nature of the method...

• GPUTop

• Referenced in 10 articles [sw23299]
• graphics card. We investigate topology optimization based on the solid isotropic material with penalization approach ... entirely on the GPU by a matrix-free conjugate gradient method using finite elements...

• fastmat

• Referenced in 1 article [sw41524]
• allows for the expression of matrix-free linear operators in a mathematically intuitive way, while ... debugging productivity and run-time execution path optimization improves the performance of highly-structured operators ... abstractly describing algorithms that apply such matrix-free linear operators, while maintaining clear separation...

• SKRYN

• Referenced in 3 articles [sw16771]
• solve quantum optimal control problems governed by the Liouville master equation modeling Ising spin ... package ReHaG allows to compute a real matrix representation of the master equation. The MATLAB ... strategy resulting in a globalized semismooth matrix-free Krylov-Newton scheme. To discretize the real ... accurate solutions to the Ising spin quantum optimization problem...

• ReHaG

• Referenced in 3 articles [sw16772]
• solve quantum optimal control problems governed by the Liouville master equation modeling Ising spin ... package ReHaG allows to compute a real matrix representation of the master equation. The MATLAB ... strategy resulting in a globalized semismooth matrix-free Krylov-Newton scheme. To discretize the real ... accurate solutions to the Ising spin quantum optimization problem...

• trlib

• Referenced in 3 articles [sw17722]
• Krylov subspaces. A vector- and matrix-free reverse communication interface allows the use of most ... frequently arises in sequential methods for nonlinear optimization. In this implementation, we made an effort...

• PolyTop++

• Referenced in 2 articles [sw17735]
• code by Talischi et al. (Struct Multidiscip Optim 45(3):329–357 2012b). PolyTop ... iterative solvers, and an iterative ‘matrix-free’ solver; these were all implemented in serial...

• SuperLU-DIST

• Referenced in 90 articles [sw00002]
• SuperLU is a general purpose library for the...

• ADOL-C

• Referenced in 249 articles [sw00019]
• ADOL-C: Automatic Differentiation of C/C++. We present...

• BoomerAMG

• Referenced in 195 articles [sw00086]
• BoomerAMG: A parallel algebraic multigrid solver and preconditioner...

• CSDP

• Referenced in 202 articles [sw00169]
• CSDP, A C Library for Semidefinite Programming. This...

• Diffpack

• Referenced in 115 articles [sw00203]
• As modern programming methodologies migrate from computer science...

• Expokit

• Referenced in 198 articles [sw00258]
• Expokit provides a set of routines aimed at...

• Gerris

• Referenced in 313 articles [sw00341]
• Gerris is a Free Software program for the...

• Gmsh

• Referenced in 720 articles [sw00366]
• Gmsh is a 3D finite element grid generator...

• hypre

• Referenced in 306 articles [sw00426]
• hypre is a software library for the solution...

• KNITRO

• Referenced in 196 articles [sw00490]
• KNITRO is a solver for nonlinear optimization. It...