A structure preserving sort-Jacobi algorithm for computing eigenvalues or singularvalues is presented. It applies to an arbitrary semisimple Lie algebra on its (-1)-eigenspace of the Cartan involution. Local quadrati...
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A structure preserving sort-Jacobi algorithm for computing eigenvalues or singularvalues is presented. It applies to an arbitrary semisimple Lie algebra on its (-1)-eigenspace of the Cartan involution. Local quadratic convergence for arbitrary cyclic schemes is shown for the regular case. The proposed method is independent of the representation of the underlying Lie algebra and generalizes well-known normal form problems such as e.g. the symmetric, Hermitian, skew-symmetric, symmetric and skew-symmetric R-Hamiltonian eigenvalue problem and the singularvaluedecomposition. (C) 2008 Elsevier Inc. All rights reserved.
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