86 citations · 532 across the 35 of their papers we have counts for
7 papers · 1 filter
Recent implementations, applications, and extensions of the Locally Optimal Block Preconditioned Conjugate Gradient method (LOBPCG)
Andrew Knyazev
Since introduction [A. Knyazev, Toward the optimal preconditioned eigensolver: Locally optimal block preconditioned conjugate gradient method, SISC (2001) DOI:10.1137/S106482750036…
Preconditioned Spectral Clustering for Stochastic Block Partition Streaming Graph Challenge
David Zhuzhunashvili, Andrew Knyazev
Locally Optimal Block Preconditioned Conjugate Gradient (LOBPCG) is demonstrated to efficiently solve eigenvalue problems for graph Laplacians that appear in spectral clustering. F…
Signal reconstruction via operator guiding
Andrew Knyazev, Alexander Malyshev
Signal reconstruction from a sample using an orthogonal projector onto a guiding subspace is theoretically well justified, but may be difficult to practically implement. We propose…
Preconditioned warm-started Newton-Krylov methods for MPC with discontinuous control
Andrew Knyazev, Alexander Malyshev
We present Newton-Krylov methods for efficient numerical solution of optimal control problems arising in model predictive control, where the optimal control is discontinuous. As in…
Least squares dynamics in Newton-Krylov Model Predictive Control
Andrew Knyazev, Alexander Malyshev
Newton-Krylov methods for nonlinear Model Predictive Control are pioneered by T. Ohtsuka under the name "C/GMRES". Ohtsuka eliminates a system state over the horizon from Karush-Ku…
Guided Signal Reconstruction Theory
Andrew Knyazev, Akshay Gadde, Hassan Mansour +1
An axiomatic approach to signal reconstruction is formulated, involving a sample consistent set and a guiding set, describing desired reconstructions. New frame-less reconstruction…