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A Method for Finding the Fixed Vector of a Stochastic Operator
G. A. Grigoryan Institute of Mathematics, National Academy of Sciences of Armenia
Abstract:
The author proposes a new method for finding the fixed vector of a stochastic operator based on the representation of the operator of the linear system as the product of an noninvertible operator of simple form and an invertible operator. A complement to Jentsch's theorem is obtained.
Keywords:
linear algebraic system, fixed vector of a stochastic operator, Jentsch's theorem, integral stochastic operator.
Received: 14.02.2013 Revised: 03.07.2013
Citation:
G. A. Grigoryan, “A Method for Finding the Fixed Vector of a Stochastic Operator”, Mat. Zametki, 95:5 (2014), 708–717; Math. Notes, 95:5 (2014), 634–641
Linking options:
https://www.mathnet.ru/eng/mzm10264https://doi.org/10.4213/mzm10264 https://www.mathnet.ru/eng/mzm/v95/i5/p708
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