대한수학회지 (Journal of the Korean Mathematical Society)

  • 제36권3호
  • /
  • Pages.469-487
  • /
  • 1999
  • /
  • 0304-9914(pISSN)
  • /
  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

SIGN PATTERNS OF IDEMPOTENT MATRICES

  • Hall, Frank J. (Department of Mathematics and Computer Science Georgia State University) ;
  • Li, Zhong-Shan (Department of Mathematics and Computer Science Georgia State University)
  • 발행 : 1999.03.01
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초록

Sign patterns of idempotent matrices, especially symmetric idempotent matrices, are investigated. A number of fundamental results are given and various constructions are presented. The sign patterns of symmetric idempotent matrices through order 5 are determined. Some open questions are also given.

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참고문헌

  1. Linear Algebra Appl. v.180 Idempotence for sign pattern matrices C. A. Eschenbach
  2. Czechoslovak Mathematical Journal(to appear) When does the inverse have the same sign pattern as the transpose? C. A. Eschenbach;F. J. Hall;D. Harrell;Z. Li
  3. Linear Algebra Appl. v.211 Sign pattern matrices and gemeralized inverses C. A. Eschenbach;F. J. Hall;Z. Li
  4. Linear Algebra Appl. v.252 Some sign patterns that allow a real inverse pair B and $B^{-1}$ C. A. Eschenbach
  5. Matrices with Applications in Statistics (2nd ed.) F. A. Graybill
  6. Topics in Matrix Analysis R. A. Horn;C. R. Johnson
  7. Commun. Korean Math. Soc. v.10 no.3 The allowance of idempotent of sign pattern matrices S. G. Lee;S. W. Park
  8. Linear Algebra Appl. v.254 Sign patterns of nonnegative normal matrices Z. Li;F. J. Hall;F. Zhang
  9. Linear Algebra Appl. v.75 Sign-nonsingular matrices and even in directed graphs C. Thomassen