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Abstract It was shown recently that Birkhoff's theorem for doubly stochastic matrices can be extended to unitary matrices with equal line sums whenever the dimension of the matrices is prime.… Click to show full abstract
Abstract It was shown recently that Birkhoff's theorem for doubly stochastic matrices can be extended to unitary matrices with equal line sums whenever the dimension of the matrices is prime. We prove a generalization of the Birkhoff theorem for unitary matrices with equal line sums for arbitrary dimension.
Keywords:
arbitrary dimensions;
matrices arbitrary;
birkhoff theorem;
unitary matrices;
theorem unitary
Journal Title: Linear Algebra and its Applications
Year Published: 2017
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Journal Title: Linear Algebra and its Applications
Year Published: 2017
Link to full text (if available)
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recommendations!