Andrew Knyazev
- Toward the Optimal Preconditioned Eigensolver: Locally Optimal Block Preconditioned Conjugate Gradient Method
2001/01/01 by Andrew Knyazev, Andrew V. Knyazev · 52 citations
Computer Science · Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #Matrix Theory and Algorithms #Numerical methods in inverse problems
- Large scale ab initio calculations based on three levels of parallelization
2007/07/23 by François Bottin, Stéphane Leroux, Andrew Knyazev +1 · 1 citation
Physics and Astronomy · #cond-mat.mtrl-sci
- Recent implementations, applications, and extensions of the Locally\n Optimal Block Preconditioned Conjugate Gradient method (LOBPCG)
2017/08/28 by Andrew Knyazev, Knyazev, Andrew · 1 citation
Computer Science · Engineering · Physics and Astronomy · #65F15 #Advanced Numerical Methods in Computational Mathematics #Computation (stat.CO) #Electromagnetic Scattering and Analysis #FOS: Computer and information sciences #FOS: Mathematics #G.1.3 #Matrix Theory and Algorithms #Numerical Analysis (math.NA)
- Angle-free cluster robust Ritz value bounds for restarted block eigensolvers
2022/11/02 by Ming Zhou, Zhou, Ming, Andrew Knyazev +3 · 1 citation
Computer Science · Materials Science · Physics and Astronomy · #65F15 #65N12 #65N25 #Electromagnetic Scattering and Analysis #FOS: Mathematics #Matrix Theory and Algorithms #Numerical Analysis (math.NA) #X-ray Diffraction in Crystallography
- Nonsymmetric Preconditioning for Conjugate Gradient and Steepest Descent Methods 1
2015/01/01 by Henricus Bouwmeester, Andrew Dougherty, Andrew Knyazev · 1 citation
Computer Science · Engineering · #Matrix Theory and Algorithms #Advanced Numerical Methods in Computational Mathematics #Elasticity and Material Modeling