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Solving the least squares (anti)-Hermitian solution for quaternion linear systems - MaRDI portal

Solving the least squares (anti)-Hermitian solution for quaternion linear systems (Q2099518)

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scientific article; zbMATH DE number 7622764

Language	Label	Description	Also known as
English	Solving the least squares (anti)-Hermitian solution for quaternion linear systems	scientific article; zbMATH DE number 7622764

Statements

scholarly article

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Solving the least squares (anti)-Hermitian solution for quaternion linear systems (English)

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Computational and Applied Mathematics

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publication date

24 November 2022

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zbMATH Keywords

quaternion matrix equation

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semi-tensor product of quaternion matrices

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complex representation

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color digital image restoration

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MaRDI profile type

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full work available at URL

https://doi.org/10.1007/s40314-022-02087-8

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Generalized inverses. Theory and applications.

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A real method for solving quaternion matrix equation \(\mathbf{X}-\mathbf{A}\hat{\mathbf{X}}\mathbf{B} = \mathbf{C}\) based on semi-tensor product of matrices

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An algebraic method for quaternion and complex least squares coneigen-problem in quantum mechanics

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Two novel algebraic techniques for quaternion least squares problems in quaternionic quantum mechanics

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An algebraic technique for total least squares problem in quaternionic quantum theory

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Necessary and sufficient vertex partition conditions for input-output decoupling of Boolean control networks

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Matrix approach to verification of finite multi-potential games

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Centrohermitian and skew-centrohermitian solutions to the minimum residual and matrix nearness problems of the quaternion matrix equation \((AXB,DXE) = (C,F)\)

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Image encryption algorithm based on the matrix semi-tensor product with a compound secret key produced by a Boolean network

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The least square solution with the least norm to a system of quaternion matrix equations

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Several kinds of special least squares solutions to quaternion matrix equation \(AXB=C\)

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The least-squares solution with the least norm to a system of tensor equations over the quaternion algebra

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A constrained system of matrix equations

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Least squares pure imaginary solution and real solution of the quaternion matrix equation \(A X B + C X D = E\) 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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On solutions of the quaternion matrix equation \(AX=B\) and their applications in color image restoration

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Quaternions and matrices of quaternions

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${\cal H}$-Representation and Applications to Generalized Lyapunov Equations and Linear Stochastic Systems

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Special least squares solutions of the quaternion matrix equation \(A X = B\) with applications

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An efficient real representation method for least squares problem of the quaternion constrained matrix equation <i>AXB</i> + <i>CY D</i> = <i>E</i>

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S40314-022-02087-8

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Sitelinks

Mathematics(1 entry)

mardi Publication:2099518

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