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Inner Bohemian inverses

Author

Listed:
  • Chan, Eunice Y.S.
  • Corless, Robert M.
  • González-Vega, Laureano
  • Sendra, J. Rafael
  • Sendra, Juana

Abstract

In this paper, for certain type of structured {0,1,−1}–matrices, we give a complete description of the inner Bohemian inverses over any population containing the set {0,1,−1}. In addition, when the population is exactly {0,1,−1}, we provide explicit formulas for the number of inner Bohemian inverses of these type of matrices.

Suggested Citation

  • Chan, Eunice Y.S. & Corless, Robert M. & González-Vega, Laureano & Sendra, J. Rafael & Sendra, Juana, 2022. "Inner Bohemian inverses," Applied Mathematics and Computation, Elsevier, vol. 421(C).
    • Handle: RePEc:eee:apmaco:v:421:y:2022:i:c:s0096300322000315
    DOI: 10.1016/j.amc.2022.126945
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    References listed on IDEAS

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    1. Stanimirović, Predrag S. & Ćirić, Miroslav & Lastra, Alberto & Sendra, Juan Rafael & Sendra, Juana, 2021. "Representations and symbolic computation of generalized inverses over fields," Applied Mathematics and Computation, Elsevier, vol. 406(C).
    2. Predrag S. Stanimirović & Miroslav Ćirić & Igor Stojanović & Dimitrios Gerontitis, 2017. "Conditions for Existence, Representations, and Computation of Matrix Generalized Inverses," Complexity, Hindawi, vol. 2017, pages 1-27, June.
    3. Sendra, J. Rafael & Sendra, Juana, 2017. "Computation of Moore–Penrose generalized inverses of matrices with meromorphic function entries," Applied Mathematics and Computation, Elsevier, vol. 313(C), pages 355-366.
    4. Sendra, Juana & Rafael Sendra, J., 2015. "Gröbner basis computation of Drazin inverses with multivariate rational function entries," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 450-459.
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