Solvability conditions for mixed sylvester equations in rings (Q5019803)

scientific article; zbMATH DE number 7455278

Language	Label	Description	Also known as
English	Solvability conditions for mixed sylvester equations in rings	scientific article; zbMATH DE number 7455278

Statements

instance of

scholarly article

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title

Solvability conditions for mixed sylvester equations in rings (English)

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published in

Filomat

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publication date

11 January 2022

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zbMATH Keywords

system of matrix equations

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Sylvester equation

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regular

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ring

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MaRDI profile type

MaRDI publication profile

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cites work

The matrix equation AXB+CYD=E

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The matrix equation $AX-YB=C$

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Robust and well-conditioned eigenstructure assignment via sylvester's equation

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On the solution of a Sylvester equation appearing in descriptor systems control theory

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Q3448174

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Equations $ax = c$ and $xb = d$ in rings and rings with involution with applications to Hilbert space operators

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Finite iterative algorithms for the reflexive and anti-reflexive solutions of the matrix equation $A_1X_1B_1+A_2X_2B_2=C$

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The general coupled matrix equations over generalized bisymmetric matrices

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Two algorithms for finding the Hermitian reflexive and skew-Hermitian solutions of Sylvester matrix equations

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On the generalized reflexive and anti-reflexive solutions to a system of matrix equations

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On Iterative Solutions of General Coupled Matrix Equations

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Block Krylov subspace methods for solving large Sylvester equations

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Krylov-subspace methods for the Sylvester equation

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The matrix equationAXB+CYD=Eover a simple artinian ring

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A Perturbation Analysis of the Generalized Sylvester Equation $( AR - LB,DR - LE ) = ( C,F )$

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Simultaneous solutions of matrix equations and simultaneous equivalence of matrices

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Q5436054

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Ranks of solutions of the linear matrix equation $AX + YB = C$

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Q5677596

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The Equation $AXB + CYD = E$ over a Principal Ideal Domain

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An efficient algorithm for the solution of a coupled Sylvester equation appearing in descriptor systems

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On solutions of matrix equation $XF-AX=C$ and $XF-A\widetilde{X}=C$ over quaternion field

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The solvability of two linear matrix equations

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Solving some linear equations over alternative rings

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Almost non-interacting control by measurement feedback

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A system of matrix equations and a linear matrix equation over arbitrary regular rings with identity

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Consistency for bi(skew)symmetric solutions to systems of generalized Sylvester equations over a finite central algebra

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A system of real quaternion matrix equations with applications

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Q4955927

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Solvability conditions and general solution for mixed Sylvester equations

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Systems of coupled generalized Sylvester matrix equations

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Consistency of a pair of generalized Sylvester equations

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Solution to Generalized Sylvester Matrix Equations

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Common Hermitian and positive solutions to the adjointable operator equations $AX = C$, $XB = D$

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On the generalized Sylvester mapping and matrix equations

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full work available at URL

https://doi.org/10.2298/fil1718539c

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Identifiers

zbMATH Open document ID

1499.15047

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DOI

10.2298/FIL1718539C

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5019803