Andrei Knyazev

Q: What Schools Are Affiliated With Andrei Knyazev

Andrei Knyazev is affiliated with the following schools: Moscow State University, University of Colorado Boulder, Moscow State University, University of California, Berkeley, University of California, Santa Barbara, University of Colorado Denver, University of California, San Diego

Andrei Knyazev 's AcademicInfluence.com Rankings

Andrei Knyazev

Mathematics

#6850

World Rank

#9410

Historical Rank

#1997

USA Rank

Functional Analysis

#76

World Rank

#93

Historical Rank

#10

USA Rank

Applied Mathematics

#460

World Rank

#492

Historical Rank

#93

USA Rank

Measure Theory

#3640

World Rank

#4294

Historical Rank

#1049

USA Rank

mathematics Degrees

Download Badge

Mathematics

Andrei Knyazev 's Degrees

PhD Mathematics University of California, Berkeley
Masters Mathematics Moscow State University
Bachelors Mathematics Moscow State University

Similar Degrees You Can Earn

Best Online Bachelor's in Math 2025

Why Is Andrei Knyazev Influential?

(Suggest an Edit or Addition)

According to Wikipedia, Andrew Knyazev is an American mathematician. He graduated from the Faculty of Computational Mathematics and Cybernetics of Moscow State University under the supervision of Evgenii Georgievich D'yakonov in 1981 and obtained his PhD in Numerical Mathematics at the Russian Academy of Sciences under the supervision of Vyacheslav Ivanovich Lebedev in 1985. He worked at the Kurchatov Institute between 1981–1983, and then to 1992 at the Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences, headed by Gury Marchuk .

(See a Problem?)

Andrei Knyazev 's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Toward the Optimal Preconditioned Eigensolver: Locally Optimal Block Preconditioned Conjugate Gradient Method (2001) (699)
Principal Angles between Subspaces in an A-Based Scalar Product: Algorithms and Perturbation Estimates (2001) (188)
Preconditioned Eigensolvers - an Oxymoron? (1998) (126)
Block Locally Optimal Preconditioned Eigenvalue Xolvers (BLOPEX) in hypre and PETSc (2007) (101)
A Geometric Theory for Preconditioned Inverse Iteration. III:A Short and Sharp Convergence Estimate for Generalized EigenvalueProblems. (2001) (100)
A subspace preconditioning algorithm for eigenvector/eigenvalue computation (1995) (80)
Convergence rate estimates for iterative methods for a mesh symmetrie eigenvalue problem (1987) (77)
Efficient solution of symmetric eigenvalue problems using multigridpreconditioners in the locally optimal block conjugate gradient method (2001) (73)
Steepest Descent and Conjugate Gradient Methods with Variable Preconditioning (2006) (69)
New A Priori FEM Error Estimates for Eigenvalues (2006) (64)
Angles between subspaces and their tangents (2012) (59)
New estimates for Ritz vectors (1997) (54)
Majorization for Changes in Angles Between Subspaces, Ritz Values, and Graph Laplacian Spectra (2005) (53)
Towards a Dynamic Data Driven Application System for Wildfire Simulation (2005) (50)
Rayleigh-Ritz Majorization Error Bounds with Applications to FEM (2007) (44)
A Preconditioned Conjugate Gradient Method for Eigenvalue Problems and its Implementation in a Subspace (1991) (42)
Preconditioned gradient-type iterative methods in a subspace for partial generalized symmetric eigenvalue problems (1994) (36)
Angles between infinite dimensional subspaces with applications to the Rayleigh-Ritz and alternating projectors methods ✩ (2007) (36)
Gradient Flow Approach to Geometric Convergence Analysis of Preconditioned Eigensolvers (2008) (33)
On exact estimates of the convergence rate of the steepest ascent method in the symmetric eigenvalue problem (1991) (30)
Principal angles between subspaces and their tangents (2012) (29)
Block Structured Preconditioning within an Active-Set Method for Real-Time Optimal Control (2018) (28)
Sharp a priori error estimates of the Rayleigh-Ritz method without assumptions of fixed sign or compactness (1985) (26)
On proximity of Rayleigh quotients for different vectors and Ritz values generated by different trial subspaces (2006) (25)
Preconditioned Eigensolver LOBPCG in hypre and PETSc (2007) (24)
Signed Laplacian for spectral clustering revisited (2017) (24)
Lavrentiev regularization + Ritz approximation = uniform finite element error estimates for differential equations with rough coefficients (2003) (23)
Bounds on Changes in Ritz Values for a Perturbed Invariant Subspace of a Hermitian Matrix (2006) (22)
Chebyshev and conjugate gradient filters for graph image denoising (2014) (20)
Absolute Value Preconditioning for Symmetric Indefinite Linear Systems (2011) (20)
Nonsymmetric Preconditioning for Conjugate Gradient and Steepest Descent Methods1 (2015) (19)
On an iterative method for finding lovver eigenvalues (1992) (16)
Fictitious domain methods and computation of homogenized properties of composites with a periodic structure of essentially different components (1994) (13)
Diameters of pseudosymmetric graphs (1987) (13)
Modern Preconditioned Eigensolvers for Spectral Image Segmentation and Graph Bisection Workshop on Clustering Large Data Sets Third (2003) (12)
Preconditioned Continuation Model Predictive Control (2015) (12)
Convergence Theory for Preconditioned Eigenvalue Solvers in a Nutshell (2014) (11)
Preconditioned Locally Harmonic Residual Method for Computing Interior Eigenpairs of Certain Classes of Hermitian Matrices (2014) (10)
Preconditioned Eigensolvers: Practical Algorithms (1999) (10)
EFFICIENT COMPUTATION OF AVERAGED CHARACTERISTICS OF COMPOSITES OF A PERIODIC STRUCTURE OF ESSENTIALLY DIFFERENT MATERIALS (1991) (10)
Preconditioned Iterative Methods in a Subspace for Linear Algebraic Equations with Large Jumps in the Coefficients (1994) (10)
Preconditioned spectral clustering for stochastic block partition streaming graph challenge (Preliminary version at arXiv.) (2017) (9)
Edge-enhancing filters with negative weights (2015) (9)
On spectral partitioning of signed graphs (2017) (9)
Recent implementations, applications, and extensions of the Locally Optimal Block Preconditioned Conjugate Gradient method (LOBPCG) (2017) (8)
Extension theorems for Stokes and Lamé equations for nearly incompressible media and their applications to numerical solution of problems with highly discontinuous coefficients (2002) (8)
Observations on degenerate saddle point problems (2007) (8)
Preconditioned iterative methods for linear systems, eigenvalue and singular value problems (2011) (8)
Accelerated graph-based spectral polynomial filters (2015) (7)
Bounds for the Rayleigh Quotient and the Spectrum of Self-Adjoint Operators (2012) (7)
Preconditioned iterative methods in subspace for solving linear systems with indefinite coefficient matrices and eigenvalue problems (1989) (6)
Rayleigh-Ritz Majorization Error Bounds of Mixed Type (2016) (5)
A new iterative algorithm for solving the fictitious fluxes method problems for elliptic equations (1990) (5)
Preconditioned steepest descent-like methods for symmetric indefinite systems (2016) (5)
Conjugate gradient acceleration of non-linear smoothing filters (2015) (5)
Degeneracy in maximal clique decomposition for Semidefinite Programs (2015) (5)
The rate of convergence of the method of steepest descent in a Euclidean norm (1990) (5)
Nonsymmetric multigrid preconditioning for conjugate gradient methods (2012) (4)
Explicit model predictive control accuracy analysis (2015) (4)
Accelerated Graph-based Nonlinear Denoising Filters (2015) (4)
Sparse preconditioning for model predictive control (2015) (4)
Preconditioning Techniques (2000) (4)
Continuation model predictive control on smooth manifolds (2015) (4)
Preconditioned Krylov iterations and condensing in interior point MPC method (2018) (4)
The Temple-Lehmann-type methods in iterative algorithms (1990) (4)
Numerical Solution of PDE Eigenvalue Problems (2013) (4)
A regularized Newton solver for linear model predictive control (2018) (4)
Preconditioning for continuation model predictive control (2015) (4)
Investigation of Spectral Clustering for Signed Graph Matrix Representations (2018) (4)
Projected Preconditioning within a Block-Sparse Active-Set Method for MPC (2018) (3)
Linear and Nonlinear Eigenproblems for PDEs (2009) (3)
An Efficient Iterative Method for Stokes equations and Lame equations for nearly incompressible media with highly discontinuous coefficients (1997) (3)
MODERN EIGENVALUE SOLVERS FOR SPECTRAL IMAGE SEGMENTATION (3)
Guided Signal Reconstruction Theory (2017) (3)
Multi-exponential Lifetime Extraction in Time-Logarithmic Scale (2016) (3)
Guided signal reconstruction with application to image magnification (2015) (3)
Efficient particle continuation model predictive control (2015) (2)
Preconditioning of conjugate gradient iterations in interior point MPC method (2018) (2)
A parallel algorithm of subspace iterations and its implementation on a multiprocessor with ring architecture (1992) (1)
Preconditioned warm-started Newton-Krylov methods for MPC with discontinuous control (2017) (1)
Analysis of transmission problems on Lipschitz boundaries in stronger norms (2003) (1)
[The efficacy of pharmacological preconditioning in carotid endarterectomy]. (2016) (1)
Signal reconstruction via operator guiding (2017) (1)
On diameters of 2-regular graphs (1991) (1)
An Effective and Robust Algorithm for Finding Principal Angles Between Subspaces Using An A-Based Scalar Product (2000) (1)
Majorization-based convergence rate bounds for subspace iterations and the block Lanczos method (2008) (1)
Majorization-type cluster robust bounds for block filters and eigensolvers (2022) (1)
A NEW SUBMESH STRATEGY IN THE TWO-LEVEL FINITE ELEMENT METHOD FOR THE ADVECTIVE-DIFFUSIVE EQUATION (2007) (1)
Accelerated non-linear denoising filters (2015) (0)
Angle-free cluster robust Ritz value bounds for restarted block eigensolvers (2022) (0)
On 2-regular graphs whose girth is one less than the maximum (2002) (0)
MODELS FOR SPECTRAL CLUSTERING AND THEIR APPLICATIONS (2016) (0)
Upper bounds for the exponents of pseudo-symmetric graphs (1992) (0)
A brief theory of guided signal reconstruction (2017) (0)
An averaging method for integral equations and an extension of Bogolyubov's method (1970) (0)
C 2011 Society for Industrial and Applied Mathematics Nonsymmetric Multigrid Preconditioning for Conjugate Gradient Methods * (0)
Least squares dynamics in Newton-Krylov Model Predictive Control (2017) (0)
Preconditioned Locally Harmonic Residual Method for Computing Interior Eigenpairs of Hermitian Matrices (2014) (0)
Novel data clustering for microarrays and image segmentation (2016) (0)
Using the Karush-Kuhn-Tucker Conditions to Analyze the Convergence Rate of Preconditioned Eigenvalue Solvers (2010) (0)
Multigrid Eigensolvers for Image Segmentation (2016) (0)
MAJORIZATION-TYPE CONVERGENCE RATE BOUNDS OF SUBSPACE ITERATIONS∗ (2009) (0)
Convergence Theory for Preconditioned Eigenvalue Solvers in a Nutshell (2015) (0)
Correctness conditions for non-linear integral equations with a kernel dependent on the difference of arguments☆ (1970) (0)
SHARP A PRIORI ERRORESTIMATES OF THE RAYLEIGS-RITZ METHOD ~IZT~_7.. WITHOUT ASSUMPTIONS OF FIXED SIGN OR COMPACTNESS (2005) (0)

This paper list is powered by the following services:

Other Resources About Andrei Knyazev

What Schools Are Affiliated With Andrei Knyazev ?

Andrei Knyazev is affiliated with the following schools:

Andrei Knyazev 's Academic­Influence.com Rankings

Andrei Knyazev 's Degrees

Similar Degrees You Can Earn

Why Is Andrei Knyazev Influential?

Andrei Knyazev 's Published Works

Published Works

Other Resources About Andrei Knyazev

What Schools Are Affiliated With Andrei Knyazev ?

Andrei Knyazev 's AcademicInfluence.com Rankings