Wolfram Language & System 11.0 (2016)|Legacy Documentation

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CircularSymplecticMatrixDistribution

CircularSymplecticMatrixDistribution[n]
represents a circular symplectic matrix distribution with matrix dimensions {2 n,2 n} over the field of complex numbers.

DetailsDetails

Background & Context
Background & Context

ExamplesExamplesopen allclose all

Basic Examples  (2)Basic Examples  (2)

Generate a pseudorandom matrix from unitary symplectic group:

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The random matrix is unitary:

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It also verifies the symplectic self-duality condition:

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Represent the eigenvalues of a random matrix by MatrixPropertyDistribution and sample from it:

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Introduced in 2015
(10.3)