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https://hdl.handle.net/10316/8981
Title: | On a conjecture about the µ-permanent | Authors: | Fonseca, C. M. da | Issue Date: | 2005 | Citation: | Linear and Multilinear Algebra - Taylor & Francis. 53:3 (2005) 225-230 | Abstract: | Let A=(aij) be an n-by-nmatrix. For any real µ, define the polynomial Pµ(A)=Σ (σ E Sn) α1 σ(1) . . . αnσ(n)µ l(σ) where l (s) is the number of inversions of the permutation s in the symmetric group Sn. We prove that Pµ (A)is a strictly increasing function of µ ? [-1,1], for a Hermitian positive definite nondiagonal matrix A, whose graph is a tree. | URI: | https://hdl.handle.net/10316/8981 | DOI: | 10.1080/03081080500092372 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais |
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