Products of symplectic normal matrices
A matrix A ∈ M2n(C) is symplectic if AT 0 In −In 0 A = 0 In −In 0We show that every symplectic matrix is a product of a symplectic unitary and a symplectic skew-Hermitian matrix. We show that every symplectic matrix is a product of four symplectic skew-Hermitian matrices or a product of four symplec...
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oai:animorepository.dlsu.edu.ph:faculty_research-133422023-12-01T23:14:24Z Products of symplectic normal matrices de la Cruz, Ralph John Granario, Darryl Q. A matrix A ∈ M2n(C) is symplectic if AT 0 In −In 0 A = 0 In −In 0We show that every symplectic matrix is a product of a symplectic unitary and a symplectic skew-Hermitian matrix. We show that every symplectic matrix is a product of four symplectic skew-Hermitian matrices or a product of four symplectic Hermitian matrices. We give the possible Jordan canonical forms of symplectic matrices which can be written as a product of a symplectic Hermitian and a matrix which is either symplectic Hermitian or symplectic skew-Hermitian. 2018-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/faculty_research/11357 Faculty Research Work Animo Repository Matrices Symplectic groups Decomposition (Mathematics) Mathematics |
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De La Salle University |
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De La Salle University Library |
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Asia |
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Philippines Philippines |
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De La Salle University Library |
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Matrices Symplectic groups Decomposition (Mathematics) Mathematics |
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Matrices Symplectic groups Decomposition (Mathematics) Mathematics de la Cruz, Ralph John Granario, Darryl Q. Products of symplectic normal matrices |
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A matrix A ∈ M2n(C) is symplectic if AT 0 In −In 0
A = 0 In −In 0We show that every symplectic matrix is a product of a symplectic unitary and a symplectic skew-Hermitian matrix. We show that every symplectic matrix is a product of four symplectic skew-Hermitian matrices or a product of four symplectic Hermitian matrices. We give the possible Jordan canonical forms of symplectic matrices which can be written as a product of a symplectic Hermitian and a matrix which is either symplectic Hermitian or symplectic skew-Hermitian. |
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text |
| author |
de la Cruz, Ralph John Granario, Darryl Q. |
| author_facet |
de la Cruz, Ralph John Granario, Darryl Q. |
| author_sort |
de la Cruz, Ralph John |
| title |
Products of symplectic normal matrices |
| title_short |
Products of symplectic normal matrices |
| title_full |
Products of symplectic normal matrices |
| title_fullStr |
Products of symplectic normal matrices |
| title_full_unstemmed |
Products of symplectic normal matrices |
| title_sort |
products of symplectic normal matrices |
| publisher |
Animo Repository |
| publishDate |
2018 |
| url |
https://animorepository.dlsu.edu.ph/faculty_research/11357 |
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1784863533354188800 |