Toward the optimal preconditioned eigensolver: Locally optimal block preconditioned conjugate gradient method
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Gradient Flow Approach to Geometric Convergence Analysis of Preconditioned Eigensolvers
Knyazev, Andrew V, Neymeyr, Klaus
Published in SIAM journal on matrix analysis and applications (01.01.2009)
Published in SIAM journal on matrix analysis and applications (01.01.2009)
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Journal Article
Absolute Value Preconditioning for Symmetric Indefinite Linear Systems
Vecharynski, Eugene, Knyazev, Andrew V
Published in SIAM journal on scientific computing (01.01.2013)
Published in SIAM journal on scientific computing (01.01.2013)
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STEEPEST DESCENT AND CONJUGATE GRADIENT METHODS WITH VARIABLE PRECONDITIONING
KNYAZEV, Andrew V, LASHUK, Ilya
Published in SIAM journal on matrix analysis and applications (01.01.2007)
Published in SIAM journal on matrix analysis and applications (01.01.2007)
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RAYLEIGH-RITZ MAJORIZATION ERROR BOUNDS WITH APPLICATIONS TO FEM
KNYAZEV, Andrew V, ARGENTATI, Merico E
Published in SIAM journal on matrix analysis and applications (01.01.2010)
Published in SIAM journal on matrix analysis and applications (01.01.2010)
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Journal Article
Bounds for the Rayleigh Quotient and the Spectrum of Self-Adjoint Operators
Zhu, Peizhen, Argentati, Merico E, Knyazev, Andrew V
Published in SIAM journal on matrix analysis and applications (01.01.2013)
Published in SIAM journal on matrix analysis and applications (01.01.2013)
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Journal Article
Sharp Majorization-Type Cluster Robust Bounds for Block Filters and Eigensolvers
Zhou, Ming, Argentati, Merico, Knyazev, Andrew V., Neymeyr, Klaus
Published in SIAM journal on matrix analysis and applications (01.01.2023)
Published in SIAM journal on matrix analysis and applications (01.01.2023)
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Rayleigh--Ritz Majorization Error Bounds of Mixed Type
Zhu, Peizhen, Knyazev, Andrew V.
Published in SIAM journal on matrix analysis and applications (01.01.2017)
Published in SIAM journal on matrix analysis and applications (01.01.2017)
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Degeneracy in maximal clique decomposition for Semidefinite Programs
Raghunathan, Arvind U., Knyazev, Andrew V.
Published in 2016 American Control Conference (ACC) (01.07.2016)
Published in 2016 American Control Conference (ACC) (01.07.2016)
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