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On a conjecture about the ยต-permanent.
- Source :
-
Linear & Multilinear Algebra . Jun2005, Vol. 53 Issue 3, p225-230. 6p. - Publication Year :
- 2005
-
Abstract
- Let A =( a ij ) be an n -by- n matrix. For any real µ, define the polynomial where l (s) is the number of inversions of the permutation s in the symmetric group Sn . We prove that P µ (A) is a strictly increasing function of µ ? [-1,1], for a Hermitian positive definite nondiagonal matrix A , whose graph is a tree. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03081087
- Volume :
- 53
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Linear & Multilinear Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 17575552
- Full Text :
- https://doi.org/10.1080/03081080500092372