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ORCIDAndrew V. Knyazev
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- affiliation: University of Colorado, Denver, USA
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Journal Articles
- 2023
[j20]Ming Zhou
, Merico E. Argentati, Andrew V. Knyazev, Klaus Neymeyr:
Sharp Majorization-Type Cluster Robust Bounds for Block Filters and Eigensolvers. SIAM J. Matrix Anal. Appl. 44(4): 1852-1878 (2023)- 2017
- [j19]Merico E. Argentati, Andrew V. Knyazev, Klaus Neymeyr, Evgueni E. Ovtchinnikov, Ming Zhou:
Convergence Theory for Preconditioned Eigenvalue Solvers in a Nutshell. Found. Comput. Math. 17(3): 713-727 (2017) - [j18]Peizhen Zhu, Andrew V. Knyazev:
Rayleigh-Ritz Majorization Error Bounds of Mixed Type. SIAM J. Matrix Anal. Appl. 38(1): 30-49 (2017) - 2015
- [j17]Eugene Vecharynski, Andrew V. Knyazev:
Preconditioned Locally Harmonic Residual Method for Computing Interior Eigenpairs of Certain Classes of Hermitian Matrices. SIAM J. Sci. Comput. 37(5) (2015) - 2013
- [j16]Peizhen Zhu, Andrew V. Knyazev:
Angles between subspaces and their tangents. J. Num. Math. 21(4): 325-340 (2013) - [j15]Peizhen Zhu, Merico E. Argentati, Andrew V. Knyazev:
Bounds for the Rayleigh Quotient and the Spectrum of Self-Adjoint Operators. SIAM J. Matrix Anal. Appl. 34(1): 244-256 (2013) - [j14]Eugene Vecharynski, Andrew V. Knyazev:
Absolute Value Preconditioning for Symmetric Indefinite Linear Systems. SIAM J. Sci. Comput. 35(2) (2013) - 2009
- [j13]Andrew V. Knyazev, Klaus Neymeyr:
Gradient Flow Approach to Geometric Convergence Analysis of Preconditioned Eigensolvers. SIAM J. Matrix Anal. Appl. 31(2): 621-628 (2009) - [j12]Andrew V. Knyazev, Merico E. Argentati:
Rayleigh-Ritz Majorization Error Bounds with Applications to FEM. SIAM J. Matrix Anal. Appl. 31(3): 1521-1537 (2009) - 2008
- [j11]Merico E. Argentati, Andrew V. Knyazev, Christopher C. Paige, Ivo Panayotov:
Bounds on Changes in Ritz Values for a Perturbed Invariant Subspace of a Hermitian Matrix. SIAM J. Matrix Anal. Appl. 30(2): 548-559 (2008) - 2007
- [j10]Andrew V. Knyazev, Ilya Lashuk:
Steepest Descent and Conjugate Gradient Methods with Variable Preconditioning. SIAM J. Matrix Anal. Appl. 29(4): 1267-1280 (2007) - [j9]Andrew V. Knyazev, Merico E. Argentati, Ilya Lashuk, Evgueni E. Ovtchinnikov:
Block Locally Optimal Preconditioned Eigenvalue Xolvers (BLOPEX) in Hypre and PETSc. SIAM J. Sci. Comput. 29(5): 2224-2239 (2007) - 2006
- [j8]Andrew V. Knyazev, Merico E. Argentati:
Majorization for Changes in Angles Between Subspaces, Ritz Values, and Graph Laplacian Spectra. SIAM J. Matrix Anal. Appl. 29(1): 15-32 (2006) - [j7]Andrew V. Knyazev, John E. Osborn:
New A Priori FEM Error Estimates for Eigenvalues. SIAM J. Numer. Anal. 43(6): 2647-2667 (2006) - 2003
- [j6]Andrew V. Knyazev:
Analysis of transmission problems on Lipschitz boundaries in stronger norms. J. Num. Math. 11(3): 225-234 (2003) - [j5]Andrew Knyazev, Olof B. Widlund:
Lavrentiev regularization + Ritz approximation = uniform finite element error estimates for differential equations with rough coefficients. Math. Comput. 72(241): 17-40 (2003) - 2002
- [j4]Andrew V. Knyazev, Merico E. Argentati:
Principal Angles between Subspaces in an A-Based Scalar Product: Algorithms and Perturbation Estimates. SIAM J. Sci. Comput. 23(6): 2008-2040 (2002) - 2001
- [j3]Andrew V. Knyazev:
Toward the Optimal Preconditioned Eigensolver: Locally Optimal Block Preconditioned Conjugate Gradient Method. SIAM J. Sci. Comput. 23(2): 517-541 (2001) - 1997
- [j2]Andrew Knyazev:
New estimates for Ritz vectors. Math. Comput. 66(219): 985-995 (1997) - 1996
- [j1]James H. Bramble, Joseph E. Pasciak, Andrew V. Knyazev:
A subspace preconditioning algorithm for eigenvector/eigenvalue computation. Adv. Comput. Math. 6(1): 159-189 (1996)
Conference and Workshop Papers
- 2018
- [c19]Rien Quirynen, Andrew V. Knyazev, Stefano Di Cairano:
Block Structured Preconditioning within an Active-Set Method for Real-Time Optimal Control. ECC 2018: 1154-1159 - [c18]Alexander Malyshev, Rien Quirynen, Andrew Knyazev, Stefano Di Cairano:
A regularized Newton solver for linear model predictive control. ECC 2018: 1393-1398 - [c17]Alyson Fox, Geoffrey Sanders, Andrew Knyazev:
Investigation of Spectral Clustering for Signed Graph Matrix Representations. HPEC 2018: 1-7 - [c16]Andrew Knyazev:
On spectral partitioning of signed graphs. CSC 2018: 11-22 - 2017
- [c15]Andrew Knyazev, Alexander Malyshev:
Least squares dynamics in Newton-Krylov Model Predictive Control. ACC 2017: 5045-5050 - [c14]David Zhuzhunashvili, Andrew Knyazev:
Preconditioned spectral clustering for stochastic block partition streaming graph challenge (Preliminary version at arXiv.). HPEC 2017: 1-6 - 2016
- [c13]Andrew Knyazev, Alexander Malyshev:
Sparse preconditioning for model predictive control. ACC 2016: 4494-4499 - [c12]Arvind U. Raghunathan, Andrew V. Knyazev:
Degeneracy in maximal clique decomposition for Semidefinite Programs. ACC 2016: 5605-5611 - [c11]Andrew Knyazev, Alexander Malyshev:
Accelerated Graph-based Nonlinear Denoising Filters. ICCS 2016: 607-616 - [c10]Andrew V. Knyazev, Qun Gao, Koon Hoo Teo:
Multi-exponential Lifetime Extraction in Time-Logarithmic Scale. ICDM 2016: 282-296 - 2015
- [c9]Andrew V. Knyazev, Peizhen Zhu, Stefano Di Cairano:
Explicit model predictive control accuracy analysis. CDC 2015: 2389-2394 - [c8]Andrew Knyazev, Alexander Malyshev:
Conjugate gradient acceleration of non-linear smoothing filters. GlobalSIP 2015: 245-249 - [c7]Andrew Knyazev:
Edge-enhancing filters with negative weights. GlobalSIP 2015: 260-264 - [c6]Akshay Gadde, Andrew Knyazev, Dong Tian, Hassan Mansour:
Guided signal reconstruction with application to image magnification. GlobalSIP 2015: 938-942 - [c5]Henricus Bouwmeester, Andrew Dougherty, Andrew V. Knyazev:
Nonsymmetric Preconditioning for Conjugate Gradient and Steepest Descent Methods1. ICCS 2015: 276-285 - [c4]Andrew Knyazev, Alexander Malyshev:
Accelerated graph-based spectral polynomial filters. MLSP 2015: 1-6 - [c3]Andrew Knyazev, Yuta Fujii, Alexander Malyshev:
Preconditioned Continuation Model Predictive Control. SIAM Conf. on Control and its Applications 2015: 101-108 - 2014
- [c2]Dong Tian, Hassan Mansour, Andrew Knyazev, Anthony Vetro:
Chebyshev and conjugate gradient filters for graph image denoising. ICME Workshops 2014: 1-6 - 2005
- [c1]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, Anthony Vodacek, Jianjia Wu, Wei Zhao, Adam Zornes:
Towards a Dynamic Data Driven Application System for Wildfire Simulation. International Conference on Computational Science (2) 2005: 632-639
Parts in Books or Collections
- 2000
- [p1]Karl Meerbergen, R. Morgan, Andrew Knyazev:
Preconditioning Techniques. Templates for the Solution of Algebraic Eigenvalue Problems 2000: 337-368
Informal and Other Publications
- 2022
- [i20]Ming Zhou, Merico E. Argentati, Andrew V. Knyazev, Klaus Neymeyr:
Majorization-type cluster robust bounds for block filters and eigensolvers. CoRR abs/2201.04517 (2022) - [i19]Ming Zhou, Andrew V. Knyazev, Klaus Neymeyr:
Angle-free cluster robust Ritz value bounds for restarted block eigensolvers. CoRR abs/2211.01499 (2022) - 2017
- [i18]Andrew V. Knyazev:
Signed Laplacian for spectral clustering revisited. CoRR abs/1701.01394 (2017) - [i17]Andrew Knyazev, Akshay Gadde, Hassan Mansour, Dong Tian:
Guided Signal Reconstruction Theory. CoRR abs/1702.00852 (2017) - [i16]Andrew Knyazev, Alexander Malyshev:
Signal reconstruction via operator guiding. CoRR abs/1705.03493 (2017) - [i15]David Zhuzhunashvili, Andrew Knyazev:
Preconditioned Spectral Clustering for Stochastic Block Partition Streaming Graph Challenge. CoRR abs/1708.07481 (2017) - [i14]Andrew Knyazev:
Recent implementations, applications, and extensions of the Locally Optimal Block Preconditioned Conjugate Gradient method (LOBPCG). CoRR abs/1708.08354 (2017) - 2015
- [i13]Andrew Knyazev, Alexander Malyshev:
Conjugate Gradient Acceleration of Non-Linear Smoothing Filters. CoRR abs/1509.01514 (2015) - [i12]Dong Tian, Hassan Mansour, Andrew Knyazev, Anthony Vetro:
Chebyshev and Conjugate Gradient Filters for Graph Image Denoising. CoRR abs/1509.01624 (2015) - [i11]Akshay Gadde, Andrew Knyazev, Dong Tian, Hassan Mansour:
Guided Signal Reconstruction with Application to Image Magnification. CoRR abs/1509.02465 (2015) - [i10]Andrew Knyazev, Alexander Malyshev:
Accelerated graph-based spectral polynomial filters. CoRR abs/1509.02468 (2015) - [i9]Andrew Knyazev:
Edge-enhancing Filters with Negative Weights. CoRR abs/1509.02491 (2015) - [i8]Andrew V. Knyazev, Peizhen Zhu, Stefano Di Cairano:
Explicit model predictive control accuracy analysis. CoRR abs/1509.02840 (2015) - [i7]Andrew Knyazev, Alexander Malyshev:
Continuation model predictive control on smooth manifolds. CoRR abs/1509.02848 (2015) - [i6]Andrew Knyazev, Alexander Malyshev:
Efficient particle continuation model predictive control. CoRR abs/1509.02852 (2015) - [i5]Andrew Knyazev, Alexander Malyshev:
Preconditioning for continuation model predictive control. CoRR abs/1509.02861 (2015) - [i4]Andrew Knyazev, Alexander Malyshev:
Sparse preconditioning for model predictive control. CoRR abs/1512.00375 (2015) - [i3]Andrew Knyazev, Alexander Malyshev:
Accelerated non-linear denoising filters. CoRR abs/1512.00389 (2015) - 2012
- [i2]Henricus Bouwmeester, Andrew Dougherty, Andrew V. Knyazev:
Nonsymmetric multigrid preconditioning for conjugate gradient methods. CoRR abs/1212.6680 (2012) - 2007
- [i1]Andrew V. Knyazev, Merico E. Argentati, Ilya Lashuk, Evgueni E. Ovtchinnikov:
Block Locally Optimal Preconditioned Eigenvalue Xolvers (BLOPEX) in hypre and PETSc. CoRR abs/0705.2626 (2007)
Coauthor Index
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