P Dita 2003 J. Phys. A: Math. Gen. 36 2781 doi:10.1088/0305-4470/36/11/309
P Dita
Show affiliationsFactorization of n × n unitary matrices as a product of n diagonal phase matrices interlaced with n − 1 orthogonal matrices, each one generated by a real vector, is provided. As a byproduct an explicit form for the Weyl factorization of unitary matrices is given. The results can be used at the parametrization of complex Hadamard matrices and in finding the Laplace–Beltrami operators on unitary groups.
15A30 Algebraic systems of matrices (See also 16S50, 20Gxx, 20Hxx)
Issue 11 (21 March 2003)
Received 14 January 2003
Published 6 March 2003
P Dita 2003 J. Phys. A: Math. Gen. 36 2781
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