Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

THE BOOLEAN IDEMPOTENT MATRICES

  • Lee, Hong-Youl (Department of Mathematics Education, Woosuk University) ;
  • Park, Se-Won (Department of Mathematics, Seonam University)
  • Published : 2004.05.01

⟨ Previous Next ⟩

Abstract

In general, a matrix A is idempotent if $A^2$ = A. The idempotent matrices play an important role in the matrix theory and some properties of the Boolean matrices are examined. Using the upper diagonal completion process, we give the characterization of the Boolean idempotent matrices in modified Frobenius normal form.

Keywords

References

  1. Trends in Mathematics v.4 Weights of Idempotent Matrices L. B. Beasley;S. G. Lee;S. W. Park
  2. Liner Algebra and Its Appl. v.5 The Number of Idempotents in (0, 1)-Matrix Semigroups K. H. Kim
  3. Boolean Matrix Theory and Application K. H. Kim
  4. Comm. Korea Math. Soc. v.10 The Allowance of Idempotent of Sign Pattern Matrices S. G.Lee;S. W. Park
  5. Congressus Numerantium v.146 Idempotence of (1, 1)-Matrices S. W. Park;L. B. Beasley;S. G. Lee
  6. Korean J. Comput. & Appl. Math. v.7 no.2 Nonnegativity of Reducible Sign Idempotent Matrices S. W. Park;S. G. Lee;S. Z. Song