کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4599978 | 1336830 | 2013 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
When the positivity of the leading principal minors implies the positivity of all principal minors of a matrix
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
An n-by-n real matrix A enjoys the “leading implies all” (LIA) property, if, whenever D is a diagonal matrix such that A+DA+D has positive leading principal minors (PMs), all PMs of A are positive. Symmetric and Z-matrices are known to have this property. We give a new class of matrices (“mixed matrices”) that both unifies and generalizes these two classes and their special diagonal equivalences by also having the LIA property. “Nested implies all” (NIA) is also enjoyed by this new class.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 439, Issue 10, 15 November 2013, Pages 2934–2947
Journal: Linear Algebra and its Applications - Volume 439, Issue 10, 15 November 2013, Pages 2934–2947
نویسندگان
Charles R. Johnson, Sivaram K. Narayan,