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تسجيل مستخدم جديدOptimal unit triangular factorization of symplectic matrices
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We prove that any symplectic matrix can be factored into no more than 5 unit triangular symplectic matrices, moreover, 5 is the optimal number. This result improves the existing triangular factorization of symplectic matrices which gives proof of 9 blocks. We also show the corresponding improved conclusions for structured subsets of symplectic matrices.
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In this work, we prove that any symplectic matrix can be factored into no more than 9 unit triangular symplectic matrices. This structure-preserving factorization of the symplectic matrices immediately reveals two well-known features that, (i) the de
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