کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10427137 908646 2005 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Nonlinear Perron-Frobenius theory in finite dimensions
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Nonlinear Perron-Frobenius theory in finite dimensions
چکیده انگلیسی
A nonlinear Perron-Frobenius theory in finite dimensions is described which applies to positively homogeneous and increasing maps. Sufficient conditions for the existence and uniqueness of eigenvectors in the interior of a cone are developed even when eigenvectors at the boundary of the cone exist. Several ways to benefit from nonlinearities are pointed out in order to show that the classical, linear, theory truly deserves nonlinear generalization. The main technical novelties are: a link between Collatz-Wielandt numbers and Gâteaux derivatives, and the almost one-dimensional dynamics of the nonlinear map.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 62, Issue 2, 15 July 2005, Pages 225-244
نویسندگان
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