Andrew Knyazev - Concepedia

Author

Andrew Knyazev

Also Known As

A V Knyazev, A. Knyazev, A. Malyshev, A. V. KNYAZEV, A. V. Knyazev, A.V. KNYAZEV, A.V. Knyazev, Andrew Knyazev, Andrew V. Knyazev, Knyazev, Andrew

109

Publications

2.6K

Citations

H-Index

Concepts

All Affiliations

University of Colorado Denver Mitsubishi Electric (United States)Institute of Numerical Mathematics University of Rostock

About

Andrew Knyazev is an author at University of Colorado Denver specializing in engineering, numerical analysis, and inverse problems.

Top Concepts

#	Concept	H-Index	Publications	Citations
1	Engineering	19	22	1.9K
2	Computer Science	8	8	1.2K
3	Computer Engineering	5	5	1.1K
4	Natural Sciences	1	1	175
5	Physics	1	1	175

Andrew Knyazev

Publications

2.3K

Citations

H-Index

Page 1

	Year	Citations
Toward the Optimal Preconditioned Eigensolver: Locally Optimal Block Preconditioned Conjugate Gradient Method Andrew Knyazev SIAM Journal on Scientific Computing Numerical AnalysisMathematical ProgrammingEngineeringNumerical ComputationRandom Preconditioners	2001	781
Principal Angles between Subspaces in an <i>A</i>-Based Scalar Product: Algorithms and Perturbation Estimates Andrew Knyazev, Merico E. Argentati SIAM Journal on Scientific Computing Spectral TheoryEngineeringMatrix AnalysisPrincipal AnglesPattern Recognition	2002	213
Large-scale ab initio calculations based on three levels of parallelization François Bottin, Stéphane Leroux, Andrew Knyazev, Computational Materials Science Numerical AnalysisMassively-parallel ComputingEngineeringPhysicsNatural Sciences	2007	175
Preconditioned Eigensolvers - an Oxymoron? Andrew Knyazev	1998	102
A geometric theory for preconditioned inverse iteration III: A short and sharp convergence estimate for generalized eigenvalue problems Andrew Knyazev, Klaus Neymeyr Linear Algebra and its Applications Spectral TheoryNumerical AnalysisEngineeringMatrix AnalysisGeometric Theory	2002	93
A subspace preconditioning algorithm for eigenvector/eigenvalue computation James H. Bramble, Joseph E. Pasciak, Andrew Knyazev Advances in Computational Mathematics Numerical AnalysisInverse ProblemsEigenvector/eigenvalue ComputationMatrix MethodMatrix Analysis	1996	75
Angles between subspaces and their tangents Ping Zhu, Andrew Knyazev Journal of Numerical Mathematics Integral GeometryMathematical ProgrammingNumerical AnalysisEngineeringGeometry	2013	72
Efficient solution of symmetric eigenvalue problems using multigridpreconditioners in the locally optimal block conjugate gradient method Andrew Knyazev, Klaus Neymeyr ETNA. Electronic Transactions on Numerical Analysis [electronic only] Numerical AnalysisNumerical ComputationEngineeringPde-constrained OptimizationSymmetric Eigenvalue Problems	2001	68
Steepest Descent and Conjugate Gradient Methods with Variable Preconditioning Andrew Knyazev, Ilya Lashuk SIAM Journal on Matrix Analysis and Applications	2007	67
New A Priori FEM Error Estimates for Eigenvalues Andrew Knyazev, John E. Osborn SIAM Journal on Numerical Analysis Numerical AnalysisNumerical ComputationEngineeringPerturbation MethodVariational Analysis	2006	63

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