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scientific article; zbMATH DE number 7348698

Language	Label	Description	Also known as
English	No label defined	scientific article; zbMATH DE number 7348698

Statements

scholarly article

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publication date

17 May 2021

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full work available at URL

http://elib.mi.sanu.ac.rs/files/journals/mv/276/4_eng.html

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http://elib.mi.sanu.ac.rs/files/journals/mv/276/mvn276p214-229.pdf

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zbMATH Keywords

Moore-Penrose inverse

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matrix equation

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rank

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inertia

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Hermitian solution

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submatrices

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MaRDI profile type

MaRDI publication profile

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Generalized inverses. Theory and applications.

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Hermitian and Nonnegative Definite Solutions of Linear Matrix Equations

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Ranks of least squares solutions of the matrix equation \(AXB=C\)

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An expression of the general common least-squares solution to a pair of matrix equations with applications

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A pair of simultaneous linear matrix equations \(A_ 1XB_ 1=C_ 1,A_ 2XB_ 2=C_ 2\) and a matrix programming problem

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A representation of the general common solution to the matrix equations \(A_1XB_1=C_1\) and \(A_2XB_2=C_2\) with applications

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Maximization and minimization of the rank and inertia of the Hermitian matrix expression \(A-BX-(BX)^{*}\) with applications

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Equalities and inequalities for Hermitian solutions and Hermitian definite solutions of the two matrix equations \(AX = B\) and \(AXA ^{*} = B\)

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Equalities and inequalities for inertias of Hermitian matrices with applications

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Some optimization problems on ranks and inertias of matrix-valued functions subject to linear matrix equation restrictions

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:4988596

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