کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8897860 | 1631047 | 2018 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The quasi principal rank characteristic sequence
ترجمه فارسی عنوان
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
چکیده انگلیسی
A minor of a matrix is quasi-principal if it is a principal or an almost-principal minor. The quasi principal rank characteristic sequence (qpr-sequence) of an nÃn symmetric matrix is introduced, which is defined as q1q2â¯qn, where qk is A, S, or N, according as all, some but not all, or none of its quasi-principal minors of order k are nonzero. This sequence extends the principal rank characteristic sequences in the literature, which only depend on the principal minors of the matrix. A necessary condition for the attainability of a qpr-sequence is established. Using probabilistic techniques, a complete characterization of the qpr-sequences that are attainable by symmetric matrices over fields of characteristic 0 is given.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 548, 1 July 2018, Pages 42-56
Journal: Linear Algebra and its Applications - Volume 548, 1 July 2018, Pages 42-56
نویسندگان
Shaun M. Fallat, Xavier MartÃnez-Rivera,