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Computing Moore-Penrose Inverses of Ore Polynomial Matrices

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Mathematical Software – ICMS 2014 (ICMS 2014)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8592))

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Abstract

In this paper we define and discuss the generalized inverse and Moore-Penrose inverse for Ore polynomial matrices. Based on GCD computations and Leverrier-Faddeeva method, some fast algorithms for computing these inverses are constructed, and the corresponding Maple package including quaternion case is developed.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Manitoba, Winnipeg, MB R3T 2N2, Canada

    Yang Zhang

Authors
  1. Yang Zhang
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Editor information

Editors and Affiliations

  1. Department of Mathematics, North Carolina State University, Box 8205, 27695, Raleigh, NC, USA

    Hoon Hong

  2. Courant Institute, Dept. of Computer Science, New York Institute, 251 Mercer Street, 10012, New York, NY, USA

    Chee Yap

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Zhang, Y. (2014). Computing Moore-Penrose Inverses of Ore Polynomial Matrices. In: Hong, H., Yap, C. (eds) Mathematical Software – ICMS 2014. ICMS 2014. Lecture Notes in Computer Science, vol 8592. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-44199-2_73

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  • DOI: https://doi.org/10.1007/978-3-662-44199-2_73

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-44198-5

  • Online ISBN: 978-3-662-44199-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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