کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4602531 1631169 2008 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Sign-solvable linear complementarity problems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Sign-solvable linear complementarity problems
چکیده انگلیسی

This paper presents a connection between qualitative matrix theory and linear complementarity problems (LCPs). An LCP is said to be sign-solvable if the set of the sign patterns of the solutions is uniquely determined by the sign patterns of the given coefficients. We provide a characterization for sign-solvable LCPs such that the coefficient matrix has nonzero diagonals, which can be tested in polynomial time. This characterization leads to an efficient combinatorial algorithm to find the sign pattern of a solution for these LCPs. The algorithm runs in O(γ) time, where γ is the number of the nonzero coefficients.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 429, Issues 2–3, 15 July 2008, Pages 606-616