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

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.

키워드

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
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  9. Linear Algebra Appl. v.75 Sign-nonsingular matrices and even in directed graphs C. Thomassen