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Linear Algebra and its Applications
Elsevier
Linear Algebra and its Applications

Elsevier

0024-3795

Linear Algebra and its Applications/Journal Linear Algebra and its ApplicationsSCIISTPEIAHCI
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    Conjectured DXZ decompositions of a unitary matrix

    De Vos A.Idel M.De Baerdemacker S.
    17页
    查看更多>>摘要:? 2022 Elsevier Inc.For any unitary matrix there exists a ZXZ decomposition, according to a theorem by Idel and Wolf. For any even-dimensional unitary matrix there exists a block-ZXZ decomposition, according to a theorem by Führ and Rzeszotnik. We conjecture that these two decompositions are merely special cases of a set of decompositions, one for every divisor of the matrix dimension. For lack of a proof, we provide an iterative Sinkhorn algorithm to find an approximate numerical decomposition.