A subspace preconditioning algorithm for eigenvector/eigenvalue computation. - James H. Bramble; Joseph E. Pasciak; Andrew V. Knyazev (Adv. Comput. Math., 1996)

New estimates for Ritz vectors. - Andrew Knyazev (Math. Comput., 1997)

Preconditioning Techniques. - Karl Meerbergen; R. Morgan; Andrew Knyazev (Templates for the Solution of Algebraic Eigenvalue Problems, 2000)

Toward the Optimal Preconditioned Eigensolver: Locally Optimal Block Preconditioned Conjugate Gradient Method. - Andrew V. Knyazev (SIAM J. Sci. Comput., 2001)

Principal Angles between Subspaces in an A-Based Scalar Product: Algorithms and Perturbation Estimates. - Andrew V. Knyazev; Merico E. Argentati (SIAM J. Sci. Comput., 2002)

Analysis of transmission problems on Lipschitz boundaries in stronger norms. - Andrew V. Knyazev (J. Num. Math., 2003)

Lavrentiev regularization + Ritz approximation = uniform finite element error estimates for differential equations with rough coefficients. - Andrew Knyazev; Olof B. Widlund (Math. Comput., 2003)

Towards a Dynamic Data Driven Application System for Wildfire Simulation. - Jan Mandel; Lynn S. Bennethum; Mingshi Chen; Janice L. Coen; Craig C. Douglas; Leopoldo P. Franca; Craig J. Johns; Minjeong Kim; Andrew V. Knyazev; Robert L. Kremens; Vaibhav Kulkarni; Guan Qin; et al. (International Conference on Computational Science (2), 2005)

Majorization for Changes in Angles Between Subspaces, Ritz Values, and Graph Laplacian Spectra. - Andrew V. Knyazev; Merico E. Argentati (SIAM J. Matrix Anal. Appl., 2006)

New A Priori FEM Error Estimates for Eigenvalues. - Andrew V. Knyazev; John E. Osborn (SIAM J. Numer. Anal., 2006)

Steepest Descent and Conjugate Gradient Methods with Variable Preconditioning. - Andrew V. Knyazev; Ilya Lashuk (SIAM J. Matrix Anal. Appl., 2007)

Block Locally Optimal Preconditioned Eigenvalue Xolvers (BLOPEX) in Hypre and PETSc. - Andrew V. Knyazev; Merico E. Argentati; Ilya Lashuk; Evgueni E. Ovtchinnikov (SIAM J. Sci. Comput., 2007)

Bounds on Changes in Ritz Values for a Perturbed Invariant Subspace of a Hermitian Matrix. - Merico E. Argentati; Andrew V. Knyazev; Christopher C. Paige; Ivo Panayotov (SIAM J. Matrix Anal. Appl., 2008)

Rayleigh-Ritz Majorization Error Bounds with Applications to FEM. - Andrew V. Knyazev; Merico E. Argentati (SIAM J. Matrix Anal. Appl., 2009)

Gradient Flow Approach to Geometric Convergence Analysis of Preconditioned Eigensolvers. - Andrew V. Knyazev; Klaus Neymeyr (SIAM J. Matrix Anal. Appl., 2009)

Nonsymmetric multigrid preconditioning for conjugate gradient methods - Henricus Bouwmeester; Andrew Dougherty; Andrew V. Knyazev (CoRR, 2012)

Angles between subspaces and their tangents. - Peizhen Zhu; Andrew V. Knyazev (J. Num. Math., 2013)

Bounds for the Rayleigh Quotient and the Spectrum of Self-Adjoint Operators. - Peizhen Zhu; Merico E. Argentati; Andrew V. Knyazev (SIAM J. Matrix Anal. Appl., 2013)

Absolute Value Preconditioning for Symmetric Indefinite Linear Systems. - Eugene Vecharynski; Andrew V. Knyazev (SIAM J. Sci. Comput., 2013)

Chebyshev and conjugate gradient filters for graph image denoising. - Dong Tian; Hassan Mansour; Andrew Knyazev; Anthony Vetro (ICME Workshops, 2014)

Explicit model predictive control accuracy analysis. - Andrew V. Knyazev; Peizhen Zhu; Stefano Di Cairano (CDC, 2015)

Guided signal reconstruction with application to image magnification. - Akshay Gadde; Andrew Knyazev; Dong Tian; Hassan Mansour (GlobalSIP, 2015)

Edge-enhancing filters with negative weights. - Andrew Knyazev (GlobalSIP, 2015)

Conjugate gradient acceleration of non-linear smoothing filters. - Andrew Knyazev; Alexander Malyshev (GlobalSIP, 2015)

Nonsymmetric Preconditioning for Conjugate Gradient and Steepest Descent Methods1. - Henricus Bouwmeester; Andrew Dougherty; Andrew V. Knyazev (ICCS, 2015)

Accelerated graph-based spectral polynomial filters. - Andrew Knyazev; Alexander Malyshev (MLSP, 2015)

Preconditioned Continuation Model Predictive Control. - Andrew Knyazev; Yuta Fujii; Alexander Malyshev (SIAM Conf. on Control and its Applications, 2015)

Continuation model predictive control on smooth manifolds. - Andrew Knyazev; Alexander Malyshev (CoRR, 2015)

Efficient particle continuation model predictive control. - Andrew Knyazev; Alexander Malyshev (CoRR, 2015)

Preconditioning for continuation model predictive control. - Andrew Knyazev; Alexander Malyshev (CoRR, 2015)

Accelerated non-linear denoising filters. - Andrew Knyazev; Alexander Malyshev (CoRR, 2015)

Preconditioned Locally Harmonic Residual Method for Computing Interior Eigenpairs of Certain Classes of Hermitian Matrices. - Eugene Vecharynski; Andrew V. Knyazev (SIAM J. Sci. Comput., 2015)

Sparse preconditioning for model predictive control. - Andrew Knyazev; Alexander Malyshev (ACC, 2016)

Degeneracy in maximal clique decomposition for Semidefinite Programs. - Arvind U. Raghunathan; Andrew V. Knyazev (ACC, 2016)

Accelerated Graph-based Nonlinear Denoising Filters. - Andrew Knyazev; Alexander Malyshev (ICCS, 2016)

Multi-exponential Lifetime Extraction in Time-Logarithmic Scale. - Andrew V. Knyazev; Qun Gao; Koon Hoo Teo (ICDM, 2016)

Least squares dynamics in Newton-Krylov Model Predictive Control. - Andrew Knyazev; Alexander Malyshev (ACC, 2017)

Preconditioned spectral clustering for stochastic block partition streaming graph challenge (Preliminary version at arXiv.). - David Zhuzhunashvili; Andrew Knyazev (HPEC, 2017)

Signed Laplacian for spectral clustering revisited. - Andrew V. Knyazev (CoRR, 2017)

Guided Signal Reconstruction Theory. - Andrew Knyazev; Akshay Gadde; Hassan Mansour; Dong Tian (CoRR, 2017)

Signal reconstruction via operator guiding. - Andrew Knyazev; Alexander Malyshev (CoRR, 2017)

Preconditioned Spectral Clustering for Stochastic Block Partition Streaming Graph Challenge. - David Zhuzhunashvili; Andrew Knyazev (CoRR, 2017)

Recent implementations, applications, and extensions of the Locally Optimal Block Preconditioned Conjugate Gradient method (LOBPCG). - Andrew Knyazev (CoRR, 2017)

Convergence Theory for Preconditioned Eigenvalue Solvers in a Nutshell. - Merico E. Argentati; Andrew V. Knyazev; Klaus Neymeyr; Evgueni E. Ovtchinnikov; Ming Zhou 007 (Found. Comput. Math., 2017)

Rayleigh-Ritz Majorization Error Bounds of Mixed Type. - Peizhen Zhu; Andrew V. Knyazev (SIAM J. Matrix Anal. Appl., 2017)

A regularized Newton solver for linear model predictive control. - Alexander Malyshev; Rien Quirynen; Andrew Knyazev; Stefano Di Cairano (ECC, 2018)

Block Structured Preconditioning within an Active-Set Method for Real-Time Optimal Control. - Rien Quirynen; Andrew V. Knyazev; Stefano Di Cairano (ECC, 2018)

Investigation of Spectral Clustering for Signed Graph Matrix Representations. - Alyson Fox; Geoffrey Sanders; Andrew Knyazev (HPEC, 2018)

On spectral partitioning of signed graphs. - Andrew Knyazev (CSC, 2018)

Majorization-type cluster robust bounds for block filters and eigensolvers. - Ming Zhou 007; Merico E. Argentati; Andrew V. Knyazev; Klaus Neymeyr (CoRR, 2022)

Sharp Majorization-Type Cluster Robust Bounds for Block Filters and Eigensolvers. - Ming Zhou 007; Merico E. Argentati; Andrew V. Knyazev; Klaus Neymeyr (SIAM J. Matrix Anal. Appl., 2023)

Angle-Free Cluster-Robust Ritz Value Bounds for Restarted Block Eigensolvers. - Ming Zhou 007; Andrew Knyazev; Klaus Neymeyr (Numer. Linear Algebra Appl., 2025)