Solutions to optimization problems on ranks and inertias of a matrix function with applications (Q2018984)

scientific article; zbMATH DE number 6419855

Language	Label	Description	Also known as
English	Solutions to optimization problems on ranks and inertias of a matrix function with applications	scientific article; zbMATH DE number 6419855

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instance of

scholarly article

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title

Solutions to optimization problems on ranks and inertias of a matrix function with applications (English)

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Applied Mathematics and Computation

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publication date

26 March 2015

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zbMATH Keywords

matrix equation

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Moore-Penrose inverse

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rank

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inertia

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re-nonnegative semidefinite matrix

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.amc.2012.09.024

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cites work

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Inertia and Rank Characterizations of Some Matrix Expressions

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Re-nnd SOLUTIONS OF THE MATRIX EQUATION AXB=C

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On the Hermitian solutions to a system of adjointable operator equations

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A real quaternion matrix equation with applications

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Q5436054

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A system of matrix equations over regular rings

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Max-min problems on the ranks and inertias of the matrix expressions \(A - BXC \pm (BXC)^{\ast}\) with applications

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A simultaneous decomposition of a matrix triplet with applications.

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Q4050723

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On solvents of matrix polynomials.

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The solution to matrix equation \(AX+X^TC=B\)

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The Sylvester equation and approximate balanced reduction

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Extremal Ranks of Some Symmetric Matrix Expressions 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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A system of four matrix equations over von Neumann regular rings and its applications

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Some matrix equations with applications†

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Common Hermitian solutions to some operator equations on Hilbert \(C^{*}\)-modules

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Positive solutions to a system of adjointable operator equations over Hilbert \(C^*\)-modules

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A system of real quaternion matrix equations with applications

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Maximal and Minimal Ranks of the Common Solution of Some Linear Matrix Equations over an Arbitrary Division Ring with Applications

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A New Simultaneous Decomposition of a Matrix Quaternity Over an Arbitrary Division Ring with Applications

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\(P\)-(skew)symmetric common solutions to a pair of quaternion matrix equations

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Extreme ranks of a linear quaternion matrix expression subject to triple quaternion matrix equations with applications

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On the Centro-symmetric Solution of a System of Matrix Equations over a Regular Ring with Identity

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A new solvable condition for a pair of generalized Sylvester equations

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An equivalence canonical form of a matrix triplet over an arbitrary division ring with applications

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The common bisymmetric nonnegative definite solutions with extreme ranks and inertias to a pair of matrix equations

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Extreme ranks of (skew-)Hermitian solutions to a quaternion matrix equation

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Q3516449

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Extreme Ranks of Real Matrices in Solution of the Quaternion Matrix Equation AXB = C with Applications

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Ranks and the least-norm of the general solution to a system of quaternion matrix equations

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The Re-positive definite solutions to the matrix inverse problem \(AX = B\)

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The solutions to some operator equations

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Inertias and ranks of some Hermitian matrix functions with applications

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Identifiers

zbMATH Open document ID

1309.15025

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Mathematics Subject Classification ID

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10.1016/J.AMC.2012.09.024

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Sitelinks

Mathematics(1 entry)

mardi Publication:2018984