A coupled quaternion matrix equations with applications (Q6093370)

scientific article; zbMATH DE number 7746787

Language	Label	Description	Also known as
English	A coupled quaternion matrix equations with applications	scientific article; zbMATH DE number 7746787

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instance of

scholarly article

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title

A coupled quaternion matrix equations with applications (English)

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published in

Journal of Applied Mathematics and Computing

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publication date

6 October 2023

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zbMATH Keywords

quaternion

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matrix equations

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Moore-Penrose inverse

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rank

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s12190-023-01916-1

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cites work

Quaternion matrix optimization: motivation and analysis

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Augmented second-order statistics of quaternion random signals

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Decomposition for a quaternion tensor triplet with applications

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Some applications of a decomposition for five quaternion matrices in control system and color image processing

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A simultaneous decomposition for three quaternion tensors with applications in color video signal processing

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The equivalence canonical form of five quaternion matrices with applications to imaging and Sylvester-type equations

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Generalized Singular Value Decompositions for Tensors and Their Applications

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A simultaneous decomposition for seven matrices with applications

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

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Output feedback eigenstructure assignment using two Sylvester equations

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Coupled Sylvester-type Matrix Equations and Block Diagonalization

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Explicit representation formulas for the minimum norm least squares solutions of some quaternion matrix 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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Consistency of split quaternion matrix equations $AX^{\star }-XB=CY+D$ and $X-AX^\star B=CY+D$

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Q4061081

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An iterative method for the skew-symmetric solution and the optimal approximate solution of the matrix equation $AXB=C$

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Robust quaternion matrix completion with applications to image inpainting

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A new real structure-preserving quaternion QR algorithm

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Q2877920

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On solutions of the quaternion matrix equation $AX=B$ and their applications in color image restoration

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A real quaternion matrix equation with applications

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A system of quaternary coupled Sylvester-type real quaternion matrix equations

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Simultaneous decomposition of quaternion matrices involving $\eta$-Hermicity with applications

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The $\eta$-(anti-)Hermitian solution to a constrained Sylvester-type generalized commutative quaternion matrix equation

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The consistency and the general common solution to some quaternion matrix equations

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A quaternion matrix equation with two different restrictions

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Two-sided coupled generalized Sylvester matrix equations solving using a simultaneous decomposition for fifteen matrices

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Constraint generalized Sylvester matrix equations

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Systems of coupled generalized Sylvester matrix equations

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Solvability conditions and general solution for mixed Sylvester equations

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Constrained two-sided coupled Sylvester-type quaternion matrix equations

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A constrained system of matrix equations

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Some new results on a system of Sylvester-type quaternion matrix equations

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Solvability conditions and general solutions to some quaternion matrix equations

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The general solutions to some systems of matrix equations

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Cramer's rules for Sylvester quaternion matrix equation and its special cases

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Cramer's rules of $\eta $-(skew-)Hermitian solutions to the quaternion Sylvester-type matrix equations

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Reducible solution to a quaternion tensor equation

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Optimal sampled-data control systems

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Hermitian and Nonnegative Definite Solutions of Linear Matrix Equations

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

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Q3153558

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Nonnegative-definite and positive-definite solutions to the matrix equation $\mathbb{A}\times\mathbb{A}^*=\mathbb{B}$ -- revisited

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Positive and real-positive solutions to the equationaxa*=cinC*-algebras

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Q4050723

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The matrix equation $AX-YB=C$

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Q4198886

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Identifiers

zbMATH Open document ID

1525.15011

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DOI

10.1007/s12190-023-01916-1

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6093370