On eigenvalues of meet and join matrices associated with incidence functions

详细信息    查看全文

• 作者：Pauliina Ilmonen ; Pentti Haukkanen ; Jorma K. Merikoski
• 关键词：Meet matrix ; Join matrix ; Semilattice ; GCD matrix ; LCM matrix ; Smith determinant ; Eigenvalue
• 刊名：Linear Algebra and its Applications
• 出版年：2008
• 出版时间：1 August 2008
• 年：2008
• 卷：429
• 期：4
• 页码：859-874
• 全文大小：165 K

文摘

Let (P,,) be a locally finite meet semilattice. Let

be a finite subset of P and let f be a complex-valued function on P. Then the n×n matrix (S)_f, where

is called the meet matrix on S with respect to f. The join matrix on S with respect to f is defined dually on a locally finite join semilattice.