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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| Main Authors: | , |
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| Format: | text |
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Animo Repository
2018
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| Online Access: | https://animorepository.dlsu.edu.ph/faculty_research/11357 |
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| Institution: | De La Salle University |
| Summary: | 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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