Concepedia

Andrew Knyazev

AK

33

Publications

2.3K

Citations

23

H-Index

1985

Active since

Affiliations

University of Colorado Denver(Current)

Mitsubishi Electric (United States)

Institute of Numerical Mathematics

University of Rostock

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

Top concepts

EngineeringNumerical AnalysisInverse ProblemsApproximation TheorySpectral TheoryComputer ScienceFunctional AnalysisParallel ComputingComputer EngineeringParallel Programming

Publications per year

1985–2018

33

Publications

33

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

Andrew Knyazev · SIAM Journal on Scientific Computing · 2001 · 781 citations

Numerical Analysis, Mathematical Programming, Engineering +16

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 · 2002 · 213 citations

Spectral Theory, Engineering, Matrix Analysis +15

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

François Bottin, Stéphane Leroux, Andrew Knyazev et al. · Computational Materials Science · 2007 · 175 citations · Full text

Numerical Analysis, Massively-parallel Computing, Engineering +13

Preconditioned Eigensolvers - an Oxymoron?

Andrew Knyazev · 1998 · 102 citations

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 · 2002 · 93 citations

Spectral Theory, Numerical Analysis, Engineering +8

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