Structure preserving algorithms for perplectic eigenproblems

DOI10.13001/1081-3810.1148zbMath1065.65053OpenAlexW2108105799MaRDI QIDQ4656580

Niloufer Mackey, Daniel M. Dunlavy, D. Steven Mackey

Publication date: 11 March 2005

Published in: The Electronic Journal of Linear Algebra (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/124804

zbMATH Keywords

eigenvaluesparallel computationeigenvectorsLie algebraquadratic convergencebilinear formJacobi methodtensor productcanonical formJordan algebraskew-symmetricsymmetricquaternioncentrosymmetricperplecticperskew-symmetricdouble structure preservingpersymmetry

Mathematics Subject Classification ID

Related Items (16)

An elementary, first principles approach to the indefinite spin groups ⋮ Structure-preserving diagonalization of matrices in indefinite inner product spaces ⋮ QX factorization of centrosymmetric matrices ⋮ Fifty Three Matrix Factorizations: A Systematic Approach ⋮ Almost periodic transformable difference systems ⋮ Incomplete double-cone factorizations of centrosymmetric matrices arising in spectral methods ⋮ The minimal polynomial of some matrices via quaternions ⋮ First order structured perturbation theory for multiple zero eigenvalues of skew-adjoint matrices ⋮ A structure-preserving \(QR\) factorization for centrosymmetric real matrices ⋮ A sort-Jacobi algorithm for semisimple Lie algebras ⋮ Simple forms for perplectic and symplectic normal matrices ⋮ Structured Eigenvalue Problems ⋮ Unnamed Item ⋮ On the Iwasawa decomposition of a perplectic matrix ⋮ Perturbation analysis for the QX factorization for centrosymmetric matrices ⋮ On the two-sided perplectic singular value decomposition and perplectically diagonalizable matrices

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