L-structured quaternion matrices and quaternion linear matrix equations (Q2789425)

scientific article; zbMATH DE number 6547485

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English	L-structured quaternion matrices and quaternion linear matrix equations	scientific article; zbMATH DE number 6547485

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instance of

scholarly article

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title

L-structured quaternion matrices and quaternion linear matrix equations (English)

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Linear and Multilinear Algebra

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publication date

29 February 2016

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zbMATH Keywords

Moore-Penrose generalized inverse

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Kronecker product

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L-structured quaternion matrices

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linear matrix equations

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quaternion matrix equations

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1080/03081087.2015.1037302

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cites work

The spectral theorem in quaternions

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Quaternions and matrices of quaternions

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L-structured matrices and linear matrix equations∗

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Hermitian and Nonnegative Definite Solutions of Linear Matrix Equations

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Cramer's rule for some quaternion matrix equations

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A system of matrix equations and its applications

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Singular value and generalized singular value decompositions and the solution of linear matrix equations

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A canonical form for pencils of matrices with applications to asymptotic linear programs

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On a solution of the quaternion matrix equation $X-A \widetilde{X} B=C$ and its application

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Symmetric and skew-antisymmetric solutions to systems of real quaternion matrix equations

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Extremal ranks of a quaternion matrix expression subject to consistent systems of quaternion matrix equations with applications

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Extreme ranks of (skew-)Hermitian solutions to a quaternion matrix equation

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Ranks and the least-norm of the general solution to a system of quaternion matrix equations

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A system of real quaternion matrix equations with applications

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Solvability conditions and general solution for mixed Sylvester equations

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On solutions of matrix equation $AXB+CYD=F$

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Least squares solution of the quaternion matrix equation with the least norm

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Least squares Hermitian solution of the matrix equation $(AXB,CXD)=(E,F)$ with the least norm over the skew field of quaternions

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The matrix nearness problem associated with the quaternion matrix equation $AXA^H+BYB^H=C$

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The least squares η-Hermitian problems of quaternion matrix equation AHXA + BHYB=C

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

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Least-squares problem for the quaternion matrix equationAXB+CYD=Eover different constrained matrices

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A generalization of the complex Autonne–Takagi factorization to quaternion matrices

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Quaternion generalized singular value decomposition and its applications

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Best Approximate Solution of Matrix Equation AXB+CYD=E

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Least Squares Solution of Matrix Equation $AXB^* + CYD^* = E$

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Quaternion involutions and anti-involutions

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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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The Quaternion LMS Algorithm for Adaptive Filtering of Hypercomplex Processes

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Quaternion-Valued Stochastic Gradient-Based Adaptive IIR Filtering

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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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Explicit solutions to the quaternion matrix equationsX−AXF=CandX−A[Xtilde]F=C

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Identifiers

zbMATH Open document ID

1334.65075

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DOI

10.1080/03081087.2015.1037302

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2789425