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20192026
most citedDeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators

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math.SG2021

Optimal unit triangular factorization of symplectic matrices

Pengzhan Jin, Zhangli Lin, Bo Xiao

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 tr…

math.SG2019★ 3 cited

Unit triangular factorization of the matrix symplectic group

Pengzhan Jin, Yifa Tang, Aiqing Zhu

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…