کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8898100 1631082 2017 33 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Matrix semigroups with constant spectral radius
ترجمه فارسی عنوان
نیمه گروه ماتریکس با شعاع طیفی ثابت
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی
Multiplicative matrix semigroups with constant spectral radius (c.s.r.) are studied and applied to several problems of algebra, combinatorics, functional equations, and dynamical systems. We show that all such semigroups are characterized by means of irreducible ones. Each irreducible c.s.r. semigroup defines walks on Euclidean sphere, all its nonsingular elements are similar (in the same basis) to orthogonal. We classify all nonnegative c.s.r. semigroups and arbitrary low-dimensional semigroups. For higher dimensions, we describe five classes and leave an open problem on completeness of that list. The problem of algorithmic recognition of c.s.r. property is proved to be polynomially solvable for irreducible semigroups and undecidable for reducible ones.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 513, 15 January 2017, Pages 376-408
نویسندگان
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