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Nonnegative Combined Matrices

Author

Listed:
  • Rafael Bru
  • Maria T. Gassó
  • Isabel Giménez
  • Máximo Santana

Abstract

The combined matrix of a nonsingular real matrix is the Hadamard (entrywise) product . It is well known that row (column) sums of combined matrices are constant and equal to one. Recently, some results on combined matrices of different classes of matrices have been done. In this work, we study some classes of matrices such that their combined matrices are nonnegative and obtain the relation with the sign pattern of . In this case the combined matrix is doubly stochastic.

Suggested Citation

  • Rafael Bru & Maria T. Gassó & Isabel Giménez & Máximo Santana, 2014. "Nonnegative Combined Matrices," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-5, April.
    • Handle: RePEc:hin:jnljam:182354
    DOI: 10.1155/2014/182354
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    Cited by:

    1. Bru, Rafael & Gassó, Maria T. & Santana, Máximo, 2022. "Combined matrices and conditioning," Applied Mathematics and Computation, Elsevier, vol. 412(C).

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