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Some quaternion matrix equations involving Φ-Hermicity - MaRDI portal

Some quaternion matrix equations involving Φ-Hermicity (Q5864241)

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scientific article; zbMATH DE number 7537624

Language	Label	Description	Also known as
English	Some quaternion matrix equations involving Φ-Hermicity	scientific article; zbMATH DE number 7537624

Statements

scholarly article

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Some quaternion matrix equations involving Φ-Hermicity (English)

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publication date

3 June 2022

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zbMATH Keywords

quaternion

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matrix decomposition

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matrix equation

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nonstandard involution

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\(\phi\)-Hermitian matrix

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MaRDI profile type

MaRDI publication profile

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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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Analysis of an iterative algorithm to solve the generalized coupled Sylvester 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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Pure PSVD approach to Sylvester-type quaternion matrix equations

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The general solution to a system of coupled Sylvester-type quaternion tensor equations involving \(\eta\)-Hermicity

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A system of coupled quaternion matrix equations with seven unknowns and its applications

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The general $\phi$-Hermitian solution to mixed pairs of quaternion matrix Sylvester equations

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

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

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A simultaneous decomposition for seven matrices with applications

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Robust quaternion matrix completion with applications to image inpainting

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

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Stability of Quaternionic Linear 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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New results on condensed Cramer's rule for the general solution to some restricted quaternion matrix equations

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Augmented second-order statistics of quaternion random signals

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The Quaternion LMS Algorithm for Adaptive Filtering of Hypercomplex Processes

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On the unitary diagonalisation of a special class of quaternion matrices

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Constrained two-sided coupled Sylvester-type quaternion matrix equations

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A system of real quaternion matrix equations with applications

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

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L-structured quaternion matrices and quaternion linear matrix equations

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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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10.2298/FIL1916097H

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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:5864241

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