کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9498352 | 1631201 | 2005 | 30 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Strengthened existence and uniqueness conditions for search directions in semidefinite programming
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper, we revisit and strengthen both of the above mentioned sufficient conditions. We include characterizations for existence and uniqueness in the matrix equations arising from the linearization of the optimality conditions. As well, we present new results on the relationship between the Kronecker product and the symmetric Kronecker product that arise from these matrix equations. We conclude with a proof that the existence and uniqueness of the AHO direction is a generic property for every SDP problem and extend the results to the general Monteiro-Zhang family of search directions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 400, 1 May 2005, Pages 31-60
Journal: Linear Algebra and its Applications - Volume 400, 1 May 2005, Pages 31-60
نویسندگان
Levent Tunçel, Henry Wolkowicz,