A note on factoring unitary matrices

作者：Fuehr Hartmut; Rzeszotnik Ziemowit^*

来源：Linear Algebra and Its Applications, 2018, 547: 32-44.

DOI：10.1016/j.laa.2018.02.017

• Factorization
• Unitary matrices
• Orthogonal matrices
• CS decomposition

The note concerns three factorizations of unitary matrices: a recent factorization allowing to obtain any unitary matrix of dimension 2n from four unitary matrices of dimension n; the Cosine Sine decomposition; and a new factorization decomposing a given unitary matrix into a product of two orthogonal matrices and a diagonal unitary matrix.

• 出版日期2018-6-15