A block Newton's method for computing invariant pairs of nonlinear matrix pencils

DOI10.1515/RNAM-2018-0002zbMath1392.65089OpenAlexW2792721480WikidataQ130194505 ScholiaQ130194505MaRDI QIDQ1741999

Kirill V. Demyanko, Yuri M. Nechepurenko

Publication date: 11 April 2018

Published in: Russian Journal of Numerical Analysis and Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/rnam-2018-0002

zbMATH Keywords

Newton's methodSylvester equationinverse subspace iterationinvariant pairregular nonlinear matrix pencil

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Iterative numerical methods for linear systems (65F10) Preconditioners for iterative methods (65F08)

Related Items (1)

Numerical model for the investigation of hydrodynamic stability of shear flows in pipes of elliptic cross-section

Cites Work

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• A block Newton method for nonlinear eigenvalue problems
• A Newton-like method for computing deflating subspaces
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• Acceleration of inverse subspace iteration with Newton's method
• A Newton-type method for non-linear eigenproblems
• Stability of the laminar flow in a rectangular duct
• Introduction to Hydrodynamic Stability
• Viscous linear stability analysis of rectangular duct and cavity flows
• Linear stability analysis of Poiseuille flow in a rectangular duct

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