کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4601271 | 1336882 | 2012 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Majorization classes of integral matrices
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
The class A(R,S) of (0,1)-matrices with given row and column sum vectors R and S is well studied. Here we introduce and investigate the more general class A(B|S) of integral matrices with given column sum vector S and with rows that satisfy majorization constraints: each row is majorized by a given vector (a row in B). A characterization of nonemptyness of this class was recently given. We present algorithms for constructing a matrix in A(B|S), and study several properties of such classes. For instance, we show connectedness using certain transformations that generalize interchanges for (0,1)-matrices.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 436, Issue 4, 15 February 2012, Pages 802-813
Journal: Linear Algebra and its Applications - Volume 436, Issue 4, 15 February 2012, Pages 802-813