• # MINOS

• Referenced in 444 articles [sw05095]
• large-scale optimization system, for the solution of sparse linear and nonlinear programs. The objective ... function and constraints may be linear or nonlinear, or a mixture of both. The nonlinear ... factors of the basis matrix), automatic scaling of linear contraints, and automatic estimation of some...
• # PETSc

• Referenced in 1240 articles [sw04012]
• building blocks for the implementation of large-scale application codes on parallel (and serial) computers ... PETSc includes an expanding suite of parallel linear, nonlinear equation solvers and time integrators that...
• # LAMG

• Referenced in 30 articles [sw06551]
• graph Laplacian linear solver. Laplacian matrices of graphs arise in large-scale computational applications such ... algebraic multigrid (LAMG) solver of the symmetric linear system $Ax=b$ is presented, where ... storage are empirically demonstrated to scale linearly with the number of edges. LAMG consists ... memory savings. A serial LAMG implementation scaled linearly for a diverse set of 3774 real...
• # IR Tools

• Referenced in 39 articles [sw26721]
• methods and test problems for large-scale linear inverse problems. The software package, called ... large-scale test problems in the form of discretizations of 2D linear inverse problems ... parameters. The test problems represent realistic large-scale problems found in image reconstruction and several...
• # APOGEE

• Referenced in 35 articles [sw08451]
• linear and logarithmic partitioning schemes. Our recent work globally optimized two classes of large-scale ... pooling problems were optimized using a piecewise linear scheme that activates appropriate under- and overestimators ... number of binary decision variables that scales linearly with the number of segments...
• # SNOPT

• Referenced in 528 articles [sw02300]
• SNOPT: An SQP algorithm for large-scale constrained optimization. Sequential quadratic programming (SQP) methods have ... consider problems with general inequality constraints (linear and nonlinear). We assume that first derivatives...
• # QSDPNAL

• Referenced in 28 articles [sw18799]
• proposed algorithm and prove the R-(super)linear convergence of the KKT residual ... develop efficient techniques for solving large scale linear systems of equations under certain subspace constraints ... carefully designed to replace the original linear systems and novel shadow sequences are constructed ... constraints. Extensive numerical results for various large scale QSDPs show that our two-phase algorithm...