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On the generalized Hadamard product functions of two complex matrices - MaRDI portal

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On the generalized Hadamard product functions of two complex matrices (Q2720351)

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scientific article; zbMATH DE number 1611025
Language Label Description Also known as
English
On the generalized Hadamard product functions of two complex matrices
scientific article; zbMATH DE number 1611025

    Statements

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    27 September 2002
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    entire matrix-valued function in matrix variables
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    generalized Hadamard product
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    order
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    type of a function
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    On the generalized Hadamard product functions of two complex matrices (English)
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    The notions of order, type, \(q\)-order and \(q\)-type, \((p,q)\)-order and \((p,q)\)-type of entire matrix-valued functions in two matrix variables of complex terms are introduced, and generalized Hadamard products of two entire matrix-valued functions are defined. A relationship between the orders and types of a generalized Hadamard product, and its factors is presented. The behavior of the orders and types of generalized Hadamard products under linear substitutions is established as well.
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