کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6416119 1631097 2016 32 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Connecting sufficient conditions for the Symmetric Nonnegative Inverse Eigenvalue Problem
ترجمه فارسی عنوان
اتصال به شرایط کافی برای مسئله عدد معکوس غیر انتفال متقارن
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی

We say that a list of real numbers is “symmetrically realisable” if it is the spectrum of some (entrywise) nonnegative symmetric matrix. The Symmetric Nonnegative Inverse Eigenvalue Problem (SNIEP) is the problem of characterising all symmetrically realisable lists.In this paper, we present a recursive method for constructing symmetrically realisable lists. The properties of the realisable family we obtain allow us to make several novel connections between a number of sufficient conditions developed over forty years, starting with the work of Fiedler in 1974. We show that essentially all previously known sufficient conditions are either contained in or equivalent to the family we are introducing.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 498, 1 June 2016, Pages 521-552
نویسندگان
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