diff --git a/jsrbib/JSRbib.html b/jsrbib/JSRbib.html index 48bb761..23f683f 100644 --- a/jsrbib/JSRbib.html +++ b/jsrbib/JSRbib.html @@ -205,16 +205,20 @@

An annotated bibliography

- January 3, 2024 + January 4, 2024
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The proposed text is an attempt to provide a (constantly updated) list of publications on the convergence of infinite matrix products and the rate of their growth/decrease when the number of factors tends to infinity.

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Of course, the papers mentioned below mainly reflect my personal interests. I may miss some papers that other people consider “very important”, or I may not know some of them, and I may also include links to papers that are of interest only to me.

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The annotations to the works mentioned come from the abstracts of the publications themselves, and from the MathSciNet and zbMATH databases. Sometimes the annotations are slightly edited to combine all available sources.

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The works mentioned in this text cover the following topics.

Joint/generalized spectral radius. Common concept

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Finiteness conjecture

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In this section we have included publications dealing with one of the most discussed problems of the joint/generalized spectral radius theory, which has significantly influenced almost all aspects of this theory.

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Applications

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The number of papers in which the theory of convergence of infinite matrix products is applied to other problems has grown very rapidly in recent years. Therefore, I am forced to limit the relevant reference list to those publications which mainly reflect my personal interests.

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Convergence of infinite matrix products

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This section contains publications in which the problem of convergence of infinite matrix products is considered as a special case of the general theory.

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Semigroups of matrices and the theory of Banach algebras

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Joint/generalized spectral radius from the point of view of the general theory of matrix semigroups and the theory of Banach algebras.

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Algorithms

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This section describes some of the algorithms used to compute the joint/generalized spectral radius and related problems.

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Mathematical tools and methods

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Some math tools that have proven useful when exploring joint/generalized spectral radius.