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- W2021014025 abstract "In the normed metric space of n-square complex matrices, convergence of Σi∥Ai∥ implies convergence of Πi(Ui + Ai), with ∥Ui∥ = 1 ∀i, if and only if Πi=qUi converges for any integer q. The limit of Πi(Ui + Ai) may be considered a function ƒU(A) of the summable sequence A = [Ai]; the function ƒU is parametrized by U = [Ui]. The sequences of summable matrices A = [Ai] constitute a normed metric space E with norm |A|E = ∑i‖Ai‖. The family of functions ƒU(A) = Πi(Ui + Ai) is equicontinuous at A if ∣A∣E < 1. The special case of convergence to 0 is investigated. The results are illustrated in the context of strongly ergodic products of stochastic matrices Ui." @default.
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- W2021014025 date "1986-02-01" @default.
- W2021014025 modified "2023-09-27" @default.
- W2021014025 title "On the convergence of infinite products of matrices" @default.
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- W2021014025 doi "https://doi.org/10.1016/0024-3795(86)90112-6" @default.
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