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1

Toward the Optimal Preconditioned Eigensolver: Locally Optimal Block Preconditioned Conjugate Gradient Method

Knyazev, Andrew V.

Journal:

SIAM Journal on Scientific Computing

Year:

2001

Language:

english

File:

PDF, 276 KB

english, 2001

2

Majorization for Changes in Angles Between Subspaces, Ritz Values, and Graph Laplacian Spectra

Knyazev, Andrew V., Argentati, Merico E.

Journal:

SIAM Journal on Matrix Analysis and Applications

Year:

2007

Language:

english

File:

PDF, 217 KB

english, 2007

3

[IEEE 2016 American Control Conference (ACC) - Boston, MA, USA (2016.7.6-2016.7.8)] 2016 American Control Conference (ACC) - Sparse preconditioning for model predictive control

Knyazev, Andrew, Malyshev, Alexander

Year:

2016

Language:

english

File:

PDF, 391 KB

english, 2016

4

Principal Angles between Subspaces in an A -Based Scalar Product: Algorithms and Perturbation Estimates

Knyazev, Andrew V., Argentati, Merico E.

Journal:

SIAM Journal on Scientific Computing

Year:

2002

Language:

english

File:

PDF, 439 KB

english, 2002

5

A subspace preconditioning algorithm for eigenvector/eigenvalue computation

James H. Bramble, Joseph E. Pasciak, Andrew V. Knyazev

Journal:

Advances in Computational Mathematics

Year:

1996

Language:

english

File:

PDF, 1.53 MB

english, 1996

6

[IEEE 2016 American Control Conference (ACC) - Boston, MA, USA (2016.7.6-2016.7.8)] 2016 American Control Conference (ACC) - Degeneracy in maximal clique decomposition for Semidefinite Programs

Raghunathan, Arvind U., Knyazev, Andrew V.

Year:

2016

Language:

english

File:

PDF, 357 KB

english, 2016

7

Rayleigh–Ritz Majorization Error Bounds with Applications to FEM

Knyazev, Andrew V., Argentati, Merico E.

Journal:

SIAM Journal on Matrix Analysis and Applications

Year:

2010

Language:

english

File:

PDF, 258 KB

english, 2010

8

[IEEE 2015 IEEE Global Conference on Signal and Information Processing (GlobalSIP) - Orlando, FL, USA (2015.12.14-2015.12.16)] 2015 IEEE Global Conference on Signal and Information Processing (GlobalSIP) - Edge-enhancing filters with negative weights

Knyazev, Andrew

Year:

2015

Language:

english

File:

PDF, 130 KB

english, 2015

9

[IEEE 2015 IEEE Global Conference on Signal and Information Processing (GlobalSIP) - Orlando, FL, USA (2015.12.14-2015.12.16)] 2015 IEEE Global Conference on Signal and Information Processing (GlobalSIP) - Conjugate gradient acceleration of non-linear smoothing filters

Knyazev, Andrew, Malyshev, Alexander

Year:

2015

File:

PDF, 532 KB

2015

10

Preconditioning for continuation model predictive control

Knyazev, Andrew, Malyshev, Alexander

Journal:

IFAC-PapersOnLine

Year:

2015

Language:

english

File:

PDF, 457 KB

english, 2015

11

[IEEE 2017 International Conference on Sampling Theory and Applications (SampTA) - Tallin, Estonia (2017.7.3-2017.7.7)] 2017 International Conference on Sampling Theory and Applications (SampTA) - A brief theory of guided signal reconstruction

Knyazev, Andrew, Mansour, Hassan, Tian, Dong, Gadde, Akshay

Year:

2017

Language:

english

File:

PDF, 239 KB

english, 2017

12

On proximity of Rayleigh quotients for different vectors and Ritz values generated by different trial subspaces

Andrew V. Knyazev, Merico E. Argentati

Journal:

Linear Algebra and its Applications

Year:

2006

Language:

english

File:

PDF, 356 KB

english, 2006

13

New A Priori FEM Error Estimates for Eigenvalues

Knyazev, Andrew V., Osborn, John E.

Journal:

SIAM Journal on Numerical Analysis

Year:

2006

Language:

english

File:

PDF, 223 KB

english, 2006

14

Accelerated Graph-based Nonlinear Denoising Filters

Knyazev, Andrew, Malyshev, Alexander

Journal:

Procedia Computer Science

Year:

2016

Language:

english

File:

PDF, 462 KB

english, 2016

15

Numerical Solution of PDE Eigenvalue Problems

Knyazev, Andrew, Mehrmann, Volker, Xu, Jinchao

Journal:

Oberwolfach Reports

Year:

2013

Language:

english

File:

PDF, 1.11 MB

english, 2013

16

[IEEE 2018 17th European Control Conference (ECC) - Limassol (2018.6.12-2018.6.15)] 2018 European Control Conference (ECC) - Block Structured Preconditioning within an Active-Set Method for Real-Time Optimal Control

Quirynen, Rien, Knyazev, Andrew, Cairano, Stefano Di

Year:

2018

Language:

english

File:

PDF, 437 KB

english, 2018

17

Projected Preconditioning within a Block-Sparse Active-Set Method for MPC

Quirynen, Rien, Knyazev, Andrew, Di Cairano, Stefano

Journal:

IFAC-PapersOnLine

Year:

2018

Language:

english

File:

PDF, 488 KB

english, 2018

18

[IEEE 2017 International Conference on Sampling Theory and Applications (SampTA) - Tallin, Estonia (2017.7.3-2017.7.7)] 2017 International Conference on Sampling Theory and Applications (SampTA) - Signal reconstruction via operator guiding

Knyazev, Andrew, Malyshev, Alexander

Year:

2017

Language:

english

File:

PDF, 4.79 MB

english, 2017

19

Introduction

Stephen Billups, Andrew Knyazev, Jan Mandel

Journal:

Applied Numerical Mathematics

Year:

2005

Language:

english

File:

PDF, 140 KB

english, 2005

20

Absolute Value Preconditioning for Symmetric Indefinite Linear Systems

Vecharynski, Eugene, Knyazev, Andrew V.

Journal:

SIAM Journal on Scientific Computing

Year:

2013

Language:

english

File:

PDF, 429 KB

english, 2013

21

New a Priori Fem Error Estimates for Eigenvalues

Andrew V. Knyazev and John E. Osborn

Journal:

SIAM Journal on Numerical Analysis

Year:

2006

Language:

english

File:

PDF, 1.65 MB

english, 2006

22

[IEEE 2018 17th European Control Conference (ECC) - Limassol (2018.6.12-2018.6.15)] 2018 European Control Conference (ECC) - Block Structured Preconditioning within an Active-Set Method for Real-Time Optimal Control

Quirynen, Rien, Knyazev, Andrew, Cairano, Stefano Di

Year:

2018

File:

PDF, 437 KB

2018

23

Observations on degenerate saddle point problems

Andrew V. Knyazev

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2007

Language:

english

File:

PDF, 209 KB

english, 2007

24

Preface

Zhaojun Bai, Andrew Knyazev, Henk A. van der Vorst

Journal:

Linear Algebra and its Applications

Year:

2006

Language:

english

File:

PDF, 46 KB

english, 2006

25

Lavrentiev Regularization + Ritz Approximation = Uniform Finite Element Error Estimates for Differential Equations with Rough Coefficients

Andrew Knyazev and Olof Widlund

Journal:

Mathematics of Computation

Year:

2003

Language:

english

File:

PDF, 653 KB

english, 2003

26

[IEEE 2015 IEEE Global Conference on Signal and Information Processing (GlobalSIP) - Orlando, FL, USA (2015.12.14-2015.12.16)] 2015 IEEE Global Conference on Signal and Information Processing (GlobalSIP) - Conjugate gradient acceleration of non-linear smoothing filters

Knyazev, Andrew, Malyshev, Alexander

Year:

2015

Language:

english

File:

PDF, 532 KB

english, 2015

27

Nonsymmetric Preconditioning for Conjugate Gradient and Steepest Descent Methods1

Bouwmeester, Henricus, Dougherty, Andrew, Knyazev, Andrew V.

Journal:

Procedia Computer Science

Year:

2015

Language:

english

File:

PDF, 345 KB

english, 2015

28

Preconditioned Gradient-Type Iterative Methods in a Subspace for Partial Generalized Symmetric Eigenvalue Problems

Knyazev, Andrew V., Skorokhodov, Alexander L.

Journal:

SIAM Journal on Numerical Analysis

Year:

1994

Language:

english

File:

PDF, 1.37 MB

english, 1994

29

[IEEE 2017 American Control Conference (ACC) - Seattle, WA, USA (2017.5.24-2017.5.26)] 2017 American Control Conference (ACC) - Least squares dynamics in Newton-Krylov Model Predictive Control

Knyazev, Andrew, Malyshev, Alexander

Year:

2017

File:

PDF, 8 KB

2017

30

Angles between infinite dimensional subspaces with applications to the Rayleigh–Ritz and alternating projectors methods

Andrew Knyazev, Abram Jujunashvili, Merico Argentati

Journal:

Journal of Functional Analysis

Year:

2010

Language:

english

File:

PDF, 243 KB

english, 2010

31

Gradient Flow Approach to Geometric Convergence Analysis of Preconditioned Eigensolvers

Knyazev, Andrew V., Neymeyr, Klaus

Journal:

SIAM Journal on Matrix Analysis and Applications

Year:

2009

Language:

english

File:

PDF, 204 KB

english, 2009

32

Steepest Descent and Conjugate Gradient Methods with Variable Preconditioning

Knyazev, Andrew V., Lashuk, Ilya

Journal:

SIAM Journal on Matrix Analysis and Applications

Year:

2008

Language:

english

File:

PDF, 275 KB

english, 2008

33

[IEEE 2014 IEEE International Conference on Multimedia and Expo Workshops (ICMEW) - Chengdu, China (2014.7.14-2014.7.18)] 2014 IEEE International Conference on Multimedia and Expo Workshops (ICMEW) - Chebyshev and conjugate gradient filters for graph image denoising

Tian, Dong, Mansour, Hassan, Knyazev, Andrew, Vetro, Anthony

Year:

2014

Language:

english

File:

PDF, 240 KB

english, 2014

34

Continuation model predictive control on smooth manifolds

Knyazev, Andrew, Malyshev, Alexander

Journal:

IFAC-PapersOnLine

Year:

2015

Language:

english

File:

PDF, 636 KB

english, 2015

35

Rayleigh--Ritz Majorization Error Bounds of Mixed Type

Zhu, Peizhen, Knyazev, Andrew V.

Journal:

SIAM Journal on Matrix Analysis and Applications

Year:

2017

Language:

english

File:

PDF, 251 KB

english, 2017

36

Inference of genetic relatedness between viral quasispecies from sequencing data

Glebova, Olga, Knyazev, Sergey, Melnyk, Andrew, Artyomenko, Alexander, Khudyakov, Yury, Zelikovsky, Alex, Skums, Pavel

Journal:

Year:

2017

Language:

english

File:

PDF, 1.47 MB

english, 2017

37

[IEEE 2017 American Control Conference (ACC) - Seattle, WA, USA (2017.5.24-2017.5.26)] 2017 American Control Conference (ACC) - Least squares dynamics in Newton-Krylov Model Predictive Control

Knyazev, Andrew, Malyshev, Alexander

Year:

2017

File:

PDF, 8 KB

2017

38

Efficient particle continuation model predictive control

Knyazev, Andrew, Malyshev, Alexander

Journal:

IFAC-PapersOnLine

Year:

2015

Language:

english

File:

PDF, 396 KB

english, 2015

39

[IEEE 2015 IEEE Global Conference on Signal and Information Processing (GlobalSIP) - Orlando, FL, USA (2015.12.14-2015.12.16)] 2015 IEEE Global Conference on Signal and Information Processing (GlobalSIP) - Guided signal reconstruction with application to image magnification

Gadde, Akshay, Knyazev, Andrew, Tian, Dong, Mansour, Hassan

Year:

2015

Language:

english

File:

PDF, 231 KB

english, 2015

40

Convergence Theory for Preconditioned Eigenvalue Solvers in a Nutshell

Argentati, Merico E., Knyazev, Andrew V., Neymeyr, Klaus, Ovtchinnikov, Evgueni E., Zhou, Ming

Journal:

Foundations of Computational Mathematics

Year:

2017

Language:

english

File:

PDF, 644 KB

english, 2017

41

A geometric theory for preconditioned inverse iteration III: A short and sharp convergence estimate for generalized eigenvalue problems

Andrew V. Knyazev, Klaus Neymeyr

Journal:

Linear Algebra and its Applications

Year:

2003

Language:

english

File:

PDF, 154 KB

english, 2003

42

Bounds for the Rayleigh Quotient and the Spectrum of Self-Adjoint Operators

Zhu, Peizhen, Argentati, Merico E., Knyazev, Andrew V.

Journal:

SIAM Journal on Matrix Analysis and Applications

Year:

2013

Language:

english

File:

PDF, 207 KB

english, 2013

43

Using earth moverâs distance for viral outbreak investigations

Melnyk, Andrew, Knyazev, Sergey, Vannberg, Fredrik, Bunimovich, Leonid, Skums, Pavel, Zelikovsky, Alex

Journal:

Year:

2020

File:

PDF, 1.39 MB

2020

44

Preconditioned steepest descent-like methods for symmetric indefinite systems

Vecharynski, Eugene, Knyazev, Andrew

Journal:

Linear Algebra and its Applications

Year:

2016

Language:

english

File:

PDF, 484 KB

english, 2016

45

[IEEE 2017 IEEE High-Performance Extreme Computing Conference (HPEC) - Waltham, MA (2017.9.12-2017.9.14)] 2017 IEEE High Performance Extreme Computing Conference (HPEC) - Preconditioned spectral clustering for stochastic block partition streaming graph challenge (Preliminary version at arXiv.)

Zhuzhunashvili, David, Knyazev, Andrew

Year:

2017

Language:

english

File:

PDF, 112 KB

english, 2017

46

Large-scale ab initio calculations based on three levels of parallelization

François Bottin, Stéphane Leroux, Andrew Knyazev, Gilles Zérah

Journal:

Computational Materials Science

Year:

2008

Language:

english

File:

PDF, 183 KB

english, 2008

47

Preconditioned Krylov iterations and condensing in interior point MPC method

Malyshev, Alexander, Quirynen, Rien, Knyazev, Andrew

Journal:

IFAC-PapersOnLine

Year:

2018

Language:

english

File:

PDF, 433 KB

english, 2018

48

Preconditioning of conjugate gradient iterations in interior point MPC method

Malyshev, Alexander, Quirynen, Rien, Knyazev, Andrew

Journal:

IFAC-PapersOnLine

Year:

2018

Language:

english

File:

PDF, 432 KB

english, 2018

49

New Estimates for Ritz Vectors

Andrew V. Knyazev

Journal:

Mathematics of Computation

Year:

1997

Language:

english

File:

PDF, 1.02 MB

english, 1997

50

[IEEE 2015 IEEE 25th International Workshop on Machine Learning for Signal Processing (MLSP) - Boston, MA, USA (2015.9.17-2015.9.20)] 2015 IEEE 25th International Workshop on Machine Learning for Signal Processing (MLSP) - Accelerated graph-based spectral polynomial filters

Knyazev, Andrew, Malyshev, Alexander

Year:

2015

Language:

english

File:

PDF, 1.96 MB

english, 2015

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