Said Agoujil, Abdeslem Hafid Bentbib, "A Note on Symplectic J-SVD Like Decomposition," WSEAS Transactions on Mathematics, vol. 17, pp. 65-73, 2018, DOI:
Said Agoujil, Abdeslem Hafid Bentbib. A Note on Symplectic J-SVD Like Decomposition.
WSEAS Transactions on Mathematics. 2018;17:65-73.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 17, 2018
A Note on Symplectic J-SVD Like Decomposition
Authors: ,
Abstract: This paper presents a symplectic J-SVD like decomposition of 2n-by-2m rectangular real matrix based on symplectic reflectors. The idea for this approach was to use symplectic reflectors to first reduce the matrix to J-bidiagonal form and then transform it to a diagonal form by using sequence of symplectic similarity transformations. This was done in parallel with the Golub-Kahan-Reinsch method. This method allowed us to compute eigenvalues for the skew-Hamiltonian matrix AJA.
Keywords:
Singular value decomposition (SVD), Hamiltonian matrix, Skew-Hamiltonian matrix, Symplectic matrix, Symplectic reflector
Pages: 65-73 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 17, 2018, Art. #10 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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