A CHARACTERIZATION OF AN SN-MATRIX RELATED WITH L-MATRIX

  • Received : 2006.07.12
  • Published : 2006.09.30

Abstract

We denote by Q(A) the set of all matrices with the same sign pattern as A. A matrix A is an SN-matrix provided there exists a set S of sign patterns such that the set of sign patterns of vectors in the null-space of A is S, for each A ${\in}$ Q(A). We have a characterization of an SN-matrix related with L-matrix and we analyze the structure of an SN-matrix.

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