Some applications of a decomposition for five quaternion matrices in control system and color image processing (Q2245748)

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

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scholarly article

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title

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

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Computational and Applied Mathematics

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publication date

15 November 2021

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zbMATH Keywords

quaternion

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generalized singular value decomposition

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Sylvester equations

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general solution

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image processing

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s40314-021-01579-3

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cites work

On a Variational Formulation of the Generalized Singular Value Decomposition

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On a variational formulation of the QSVD and the RSVD

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Q3831127

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Right eigenvalue equation in quaternionic quantum mechanics

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Generalizations of the Singular Value and QR-Decompositions

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A tree of generalizations of the ordinary singular value decomposition

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The QR Decomposition and the Singular Value Decomposition in the Symmetrized Max-Plus Algebra Revisited

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Roth's solvability criteria for the matrix equations $AX-\hat{X}B=C$ and $X-A\hat{X}B=C$ over the skew field of quaternions with an involutive automorphism $q \mapsto \hat{q}$

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Pure PSVD approach to Sylvester-type quaternion matrix equations

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Structure, properties and applications of some simultaneous decompositions for quaternion matrices involving $\phi$-skew-Hermicity

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

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A System of Periodic Discrete-time Coupled Sylvester 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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The general $\phi$-Hermitian solution to mixed pairs of quaternion matrix Sylvester equations

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

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A simultaneous decomposition for seven matrices with applications

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On the general solutions to some systems of quaternion matrix equations

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

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Computing the Singular Value Decomposition of a Product of Two Matrices

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Robust quaternion matrix completion with applications to image inpainting

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Lanczos method for large-scale quaternion singular value decomposition

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

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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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Weighted singular value decomposition and determinantal representations of the quaternion weighted Moore-Penrose inverse

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

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Towards a Generalized Singular Value Decomposition

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Q2877920

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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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On the Early History of the Singular Value Decomposition

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On the unitary diagonalisation of a special class of quaternion matrices

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Generalizing the Singular Value Decomposition

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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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Minimal rank completions of partial banded matrices

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

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The Restricted Singular Value Decomposition of Matrix Triplets

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Quaternions and matrices of quaternions

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Identifiers

zbMATH Open document ID

1476.68294

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DOI

10.1007/s40314-021-01579-3

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2245748