Composite parameterization of unitary groups

Generates unitary and special unitary matrices using the composite parameterization.
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Updated 13 Apr 2011

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This file provides implementations of the composite parameterization of the unitary group U(d) and special unitary group SU(d) of arbitrary dimension d.

>> UC.m

For an arbitrary dxd real matrix 'lambda' the function UC(lambda) returns a unitary matrix of dimension dxd.

>> UCS.m

For an arbitrary dxd real matrix 'lambda' the function UCS(lambda) returns a special unitary matrix of dimension dxd. (Note that for special unitaries the (d,d)-entry of lambda is ignored)

For details on the meaning of the entries of the matrix lambda see the references

http://arxiv.org/abs/1004.5252 and
http://arxiv.org/abs/1103.3408

Please cite these papers when using this file!

Cite As

Christoph Spengler (2025). Composite parameterization of unitary groups (https://se.mathworks.com/matlabcentral/fileexchange/30990-composite-parameterization-of-unitary-groups), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2009a
Compatible with any release
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1.4.0.0

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1.0.0.0