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Note on Symplectic SVD-Like Decomposition
Journal: NEW TRENDS IN MATHEMATICAL SCIENCES (Vol.4, No. 1)Publication Date: 2016-01-01
Authors : AGOUJIL Said; Bentbib Abdeslem Hafid;
Page : 300-311
Keywords : Singular value decomposition (SVD) Hamiltonian matrix skew-symmetric matrix skew-Hamiltonian matrix symplectic matrix Schur form symplectic reflector;
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Abstract
The aim of this study was to introduce a constructive method to compute a symplectic singular value decomposition (SVD-like decomposition) of a 2n-by-m rectangular real matrix A, based on symplectic refectors.This approach used a canonical Schur form of skew-symmetric matrix and it allowed us to compute eigenvalues for the structured matrices as Hamiltonian matrix JAA^T.
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Last modified: 2016-10-30 05:08:39