ON DOUBLY STOCHASTIC ${\kappa}-POTENT$ MATRICES AND REGULAR MATRICES

  • Pyo, Sung-Soo (Department of Mathematics Education, Kyungpook National University)
  • Published : 2000.05.01

Abstract

In this paper, we determine the structure of ${\kappa}-potent$ elements and regular elements of the semigroup ${\Omega}_n$of doubly stochastic matrices of order n. In connection with this, we find the structure of the matrices X satisfying the equation AXA = A. From these, we determine a condition of a doubly stochastic matrix A whose Moore-Penrose generalized is also a doubly stochastic matrix.

Keywords

doubly stochastic;${\kappa}-potent$;regular elements

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