کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4599633 1631147 2014 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The Berger–Wang formula for the Markovian joint spectral radius
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
The Berger–Wang formula for the Markovian joint spectral radius
چکیده انگلیسی

The Berger–Wang formula establishes equality between the joint and generalized spectral radii of a set of matrices. For matrix products whose multipliers are applied not arbitrarily but in accordance with some Markovian law, there are also known analogs of the joint and generalized spectral radii. However, the known proofs of the Berger–Wang formula hardly can be directly applied in the case of Markovian products of matrices since they essentially rely on the arbitrariness of appearance of different matrices in the related matrix products. Nevertheless, as has been shown by X. Dai [1] the Berger–Wang formula is valid for the case of Markovian analogs of the joint and the generalized spectral radii too, although the proof in this case heavily exploits the more involved techniques of multiplicative ergodic theory. In the paper we propose a matrix theory construction allowing to deduce the Markovian analog of the Berger–Wang formula from the classical Berger–Wang formula.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 448, 1 May 2014, Pages 315–328
نویسندگان
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