A sort-Jacobi algorithm for semisimple Lie algebras

DOI10.1016/j.laa.2008.07.004zbMath1177.65056OpenAlexW1985432759WikidataQ115344881 ScholiaQ115344881MaRDI QIDQ958008

Martin Kleinsteuber

Publication date: 2 December 2008

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2008.07.004

zbMATH Keywords

convergence accelerationCartan decompositionlocal quadratic convergencetrace functionexceptional Lie algebraoff-normrestricted-root spacesort-Jacobi algorithmstructured eigenvalue decompositionstructured singular value decomposition

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical solutions to overdetermined systems, pseudoinverses (65F20) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (2)

Gradient flows for the minimum distance to the sum of adjoint orbits ⋮ Numerical methods for accurate computation of the eigenvalues of Hermitian matrices and the singular values of general matrices

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