ISSN:
1436-4646
Keywords:
Linear complementarity problem
;
copositive
;
Q-matrix
Source:
Springer Online Journal Archives 1860-2000
Topics:
Computer Science
,
Mathematics
Notes:
Abstract Jeter and Pye gave an example to show that Pang's conjecture, thatL 1 ⋂Q ⊂R 0, is false while Seetharama Gowda showed that the conjecture is true for symmetric matrices. It is known thatL 1-symmetric matrices are copositive matrices. Jeter and Pye as well as Seetharama Gowda raised the following question: Is it trueC 0 ⋂Q ⊂R 0? In this note we present an example of a copositive Q-matrix which is notR 0. The example is based on the following elementary proposition: LetA be a square matrix of ordern. SupposeR 1 =R 2 whereR i stands for theith row ofA. Further supposeA 11 andA 22 are Q-matrices whereA ii stands for the principal submatrix omitting theith row andith column fromA. ThenA is a Q-matrix.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01582143
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