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Unistochastic Matrices and Related Problems

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Mathematics and Computing

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 139))

Abstract

A natural map sends unitary matrices to a subset of bistochastic matrices. We refer to matrices in the image of the map as being unistochastic. The map will be defined, and properties will be discussed. A necessary condition for a ray pattern to be a unitary matrix’s ray pattern with be given. Observations regarding eigenvalues of unistochastic matrices and their relationship with paths of unitary matrices will also be presented.

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Authors and Affiliations

  1. Department of Mathematics, University of Central Florida, 4393 Andromeda Loop N, Orlando, FL, 32816-1364, USA

    Aaron Carl Smith

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  1. Aaron Carl Smith
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Correspondence to Aaron Carl Smith .

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Editors and Affiliations

  1. Department of Mathematics, University of Central Florida, Orlando, Florida, USA

    Ram N. Mohapatra

  2. Indian Institute of Technology Kharagpur Dept. Computer Science & Engineering, Kharagpur, West Bengal, India

    Dipanwita Roy Chowdhury

  3. Dept of Computer Science & Engineering, Haldia Institute of Technology, Haldia, West Bengal, India

    Debasis Giri

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Smith, A.C. (2015). Unistochastic Matrices and Related Problems. In: Mohapatra, R., Chowdhury, D., Giri, D. (eds) Mathematics and Computing. Springer Proceedings in Mathematics & Statistics, vol 139. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2452-5_16

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