کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4602770 1336937 2008 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On eigenvalues of meet and join matrices associated with incidence functions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
On eigenvalues of meet and join matrices associated with incidence functions
چکیده انگلیسی

Let (P,⪯,∧)(P,⪯,∧) be a locally finite meet semilattice. LetS={x1,x2,…,xn},xi⪯xj⇒i⩽j,be a finite subset of P and let f   be a complex-valued function on PP. Then the n×nn×n matrix (S)f(S)f, where((S)f)ij=f(xi∧xj),((S)f)ij=f(xi∧xj),is called the meet matrix on SS with respect to ff. The join matrix on SS with respect to ff is defined dually on a locally finite join semilattice.In this paper, we give lower bounds for the smallest eigenvalues of certain positive definite meet matrices with respect to ff on any set SS. We also estimate eigenvalues of meet matrices respect to any ff on meet closed set SS and with respect to semimultiplicative ff on join closed set SS. The same is carried out dually for join matrices.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 429, Issue 4, 1 August 2008, Pages 859–874
نویسندگان
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