کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4601496 1336890 2012 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Computing symmetric nonnegative rank factorizations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Computing symmetric nonnegative rank factorizations
چکیده انگلیسی

An algorithm is described for the nonnegative rank factorization (NRF) of some completely positive (CP) matrices whose rank is equal to their CP-rank. The algorithm can compute the symmetric NRF of any nonnegative symmetric rank-r matrix that contains a diagonal principal submatrix of that rank and size with leading cost O(rm2) operations in the dense case. The algorithm is based on geometric considerations and is easy to implement. The implications for matrix graphs are also discussed.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 436, Issue 2, 15 January 2012, Pages 421-435