کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4599230 1631123 2015 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Moore–Penrose inverse of a Euclidean distance matrix
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Moore–Penrose inverse of a Euclidean distance matrix
چکیده انگلیسی

We obtain expressions for the Moore–Penrose inverse of a Euclidean distance matrix (EDM) that are determined only by the positive semidefinite matrix associated with the EDM. The results complement formulas for the Moore–Penrose inverse of an EDM given in Balaji and Bapat (2007) [2]. A formula for the inverse of a principal submatrix of an EDM is also derived, whose expression uses the Schur complement of the Laplacian of the EDM. As an application, we obtain an expression for the terminal Wiener index of a tree.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 472, 1 May 2015, Pages 106–117
نویسندگان
, ,