The solution of a generalized Sylvester quaternion matrix equation and its application (Q1695159)

scientific article; zbMATH DE number 6835292

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English	The solution of a generalized Sylvester quaternion matrix equation and its application	scientific article; zbMATH DE number 6835292

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instance of

scholarly article

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title

The solution of a generalized Sylvester quaternion matrix equation and its application (English)

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Advances in Applied Clifford Algebras

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publication date

7 February 2018

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zbMATH Keywords

Moore-Penrose inverse

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generalized Sylvester matrix equation

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$\eta $-Hermitian matrix

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quaternion matrix equation

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describes a project that uses

Forensically

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s00006-017-0782-2

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cites work

The exact solution of a system of quaternion matrix equations involving $\eta$-Hermicity

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Color image analysis by quaternion-type moments

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Equations $ax = c$ and $xb = d$ in rings and rings with involution with applications to Hilbert space operators

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The generalised Sylvester matrix equations over the generalised bisymmetric and skew-symmetric matrices

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Finite iterative methods for solving systems of linear matrix equations over reflexive and anti-reflexive matrices

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On the Hermitian solutions to a system of adjointable operator equations

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The solvability of two linear matrix equations

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A real quaternion matrix equation with applications

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

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Hermitian and Nonnegative Definite Solutions of Linear Matrix Equations

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Best Approximate Solution of Matrix Equation AXB+CYD=E

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Hermitian tridiagonal solution with the least norm to quaternionic least squares problem

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An efficient iterative method for solving the matrix equationAXB +CYD =E

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Generalized inverses and operator equations

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An iterative method for the symmetric and skew symmetric solutions of a linear matrix equation $AXB+CYD=E$

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

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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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Augmented second-order statistics of quaternion random signals

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A system of matrix equations and a linear matrix equation over arbitrary regular rings with identity

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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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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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Common Hermitian solutions to some operator equations on Hilbert $C^{*}$-modules

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

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The solutions to some operator equations

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Q3166863

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A system of generalized Sylvester quaternion matrix equations and its applications

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The quaternion-based three-dimensional beam theory

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Identifiers

zbMATH Open document ID

1382.15024

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Mathematics Subject Classification ID

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10.1007/S00006-017-0782-2

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Sitelinks

Mathematics(1 entry)

mardi Publication:1695159