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A constrained system of matrix equations (Q2140808)

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Language	Label	Description	Also known as
English	A constrained system of matrix equations	scientific article

Statements

scholarly article

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A constrained system of matrix equations (English)

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Mahmoud Saad Mehany

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Computational and Applied Mathematics

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publication date

23 May 2022

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zbMATH Keywords

matrix equation

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quaternion

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rank

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Moore-Penrose inverse

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\(\eta\)-Hermitian matrix

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s40314-022-01873-8

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The matrix equation \(AX-YB=C\)

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An Iterative algorithm for $\eta$-(anti)-Hermitian least-squares solutions of quaternion matrix equations

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Singular value decomposition of quaternion matrices: a new tool for vector-sensor signal processing

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Algebraic conditions for the solvability to some systems of matrix equations

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Coupled Sylvester-type Matrix Equations and Block Diagonalization

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A real quaternion matrix equation with applications

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The<i>η</i>-bihermitian solution to a system of real quaternion matrix equations

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Cramer's rule for quaternionic systems of linear equations

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Determinantal representations of the Drazin inverse over the quaternion skew field with applications to some matrix equations

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Explicit representation formulas for the minimum norm least squares solutions of some quaternion matrix equations

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The \(\eta \)-anti-Hermitian solution to some classic matrix equations

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Consistency of split quaternion matrix equations \(AX^{\star }-XB=CY+D\) and \(X-AX^\star B=CY+D\)

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Hypercomplex correlation techniques for vector images

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A constraint system of generalized Sylvester quaternion matrix equations

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The Equations AX - YB = C and AX - XB = C in Matrices

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Quaternion singular value decomposition based on bidiagonalization to a real or complex matrix using quaternion Householder transformations

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Augmented second-order statistics of quaternion random signals

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On the unitary diagonalisation of a special class of quaternion matrices

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A system of coupled two-sided Sylvester-type tensor equations over the quaternion algebra

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Constraint generalized Sylvester matrix equations

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Constrained two-sided coupled Sylvester-type quaternion matrix equations

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A constraint system of coupled two-sided Sylvester-like quaternion tensor equations

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Least squares solution of the quaternion Sylvester tensor equation

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The exact solution of a system of quaternion matrix equations involving \(\eta\)-Hermicity

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Identifiers

zbMATH Open document ID

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10.1007/s40314-022-01873-8

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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:2140808

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