activity
20062022
most citedBlock Locally Optimal Preconditioned Eigenvalue Xolvers (BLOPEX) in hypre and PETSc

86 citations · 532 across the 35 of their papers we have counts for

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Showing 2015 · math.OCShow all

6 papers · 2 filters

math.OC2015★ 6 cited

Sparse preconditioning for model predictive control

Andrew Knyazev, Alexander Malyshev

We propose fast O(N) preconditioning, where N is the number of gridpoints on the prediction horizon, for iterative solution of (non)-linear systems appearing in model predictive co…

math.OC2015★ 3 cited

Preconditioning for continuation model predictive control

Andrew Knyazev, Alexander Malyshev

Model predictive control (MPC) anticipates future events to take appropriate control actions. Nonlinear MPC (NMPC) deals with nonlinear models and/or constraints. A Continuation/GM…

math.OC2015★ 1 cited

Efficient particle continuation model predictive control

Andrew Knyazev, Alexander Malyshev

Continuation model predictive control (MPC), introduced by T. Ohtsuka in 2004, uses Krylov-Newton approaches to solve MPC optimization and is suitable for nonlinear and minimum tim…

math.OC2015★ 4 cited

Continuation model predictive control on smooth manifolds

Andrew Knyazev, Alexander Malyshev

Model predictive control (MPC) anticipates future events to take appropriate control actions. Nonlinear MPC (NMPC) describes systems with nonlinear models and/or constraints. Conti…

math.OC2015★ 4 cited

Degeneracy in Maximal Clique Decomposition for Semidefinite Programs

Arvind U. Raghunathan, Andrew V. Knyazev

Exploiting sparsity in Semidefinite Programs (SDP) is critical to solving large-scale problems. The chordal completion based maximal clique decomposition is the preferred approach…

math.OC2015★ 10 cited

Preconditioned Continuation Model Predictive Control

Andrew Knyazev, Yuta Fujii, Alexander Malyshev

Model predictive control (MPC) anticipates future events to take appropriate control actions. Nonlinear MPC (NMPC) describes systems with nonlinear models and/or constraints. A Con…