86 citations · 532 across the 35 of their papers we have counts for
37 papers
Angle-free cluster robust Ritz value bounds for restarted block eigensolvers
Ming Zhou, Andrew V. Knyazev, Klaus Neymeyr
Convergence rates of block iterations for solving eigenvalue problems typically measure errors of Ritz values approximating eigenvalues. The errors of the Ritz values are commonly…
Majorization-type cluster robust bounds for block filters and eigensolvers
M. Zhou, M. E. Argentati, A. V. Knyazev +1
Convergence analysis of block iterative solvers for Hermitian eigenvalue problems and the closely related research on properties of matrix-based signal filters are challenging, and…
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…