CircularSymplecticMatrixDistribution

CircularSymplecticMatrixDistribution[n]

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

Details

Background & Context

Examples

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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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Scope  (3)

Applications  (1)

Properties & Relations  (2)

Possible Issues  (1)

See Also

CircularOrthogonalMatrixDistribution  CircularUnitaryMatrixDistribution  CircularRealMatrixDistribution  CircularQuaternionMatrixDistribution  MatrixPropertyDistribution

Introduced in 2015
(10.3)