首页|Conjectured DXZ decompositions of a unitary matrix
Conjectured DXZ decompositions of a unitary matrix
扫码查看
点击上方二维码区域，可以放大扫码查看
原文链接
NSTL
Elsevier
? 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.
Arnold conjectureBiunimodular vectorMatrix decompositionUnitary matrix
NSTL
Elsevier
