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A note on factoring unitary matrices

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Abstract 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… Click to show full abstract

Abstract 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.

Keywords: note factoring; factoring unitary; unitary matrix; unitary matrices

Journal Title: Linear Algebra and its Applications
Year Published: 2018

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