کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9498537 | 1631204 | 2005 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On Q and R0 properties of a quadratic representation in linear complementarity problems over the second-order cone
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On Q and R0 properties of a quadratic representation in linear complementarity problems over the second-order cone On Q and R0 properties of a quadratic representation in linear complementarity problems over the second-order cone](/preview/png/9498537.png)
چکیده انگلیسی
This paper studies the linear complementarity problem LCP(M, q) over the second-order (Lorentz or ice-cream) cone denoted by Î+n, where M is a n Ã n real square matrix and q â Rn. This problem is denoted as SOLCP(M, q). The study of second-order cone programming problems and hence an independent study of SOLCP is motivated by a number of applications. Though the second-order cone is a special case of the cone of squares (symmetric cone) in a Euclidean Jordan algebra, the geometry of its faces is much simpler and hence an independent study of LCP over Î+n may yield interesting results. In this paper we characterize the R0-property (xâÎ+n, M(x)âÎ+n and ãx, M(x)ã = 0 â x = 0) of a quadratic representation Pa(x) := 2a â (a â x) â a2 â x of În for a, x â În where 'â' is a Jordan product and show that the R0-property of Pa is equivalent to stating that SOLCP(Pa, q) has a solution for all q â În.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 397, 1 March 2005, Pages 85-97
Journal: Linear Algebra and its Applications - Volume 397, 1 March 2005, Pages 85-97
نویسندگان
Madhur Malik, S.R. Mohan,