A system of matrix equations with five variables (Q1732246)

scientific article; zbMATH DE number 7040942

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English	A system of matrix equations with five variables	scientific article; zbMATH DE number 7040942

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instance of

scholarly article

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title

A system of matrix equations with five variables (English)

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Applied Mathematics and Computation

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publication date

22 March 2019

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zbMATH Keywords

matrix equation

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general solution

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quaternion matrix

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Moore-Penrose inverse

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rank

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.amc.2015.09.066

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cites work

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Solvability of a quaternion matrix equation

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An iterative method for solving the generalized coupled Sylvester matrix equations over generalized bisymmetric matrices

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The general coupled matrix equations over generalized bisymmetric matrices

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Analysis of an iterative algorithm to solve the generalized coupled Sylvester matrix equations

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Q4709684

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Q5490773

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Best Approximate Solution of Matrix Equation AXB+CYD=E

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Iterative orthogonal direction methods for Hermitian minimum norm solutions of two consistent matrix equations

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On a Hermitian and skew-Hermitian splitting iteration method for continuous Sylvester equations

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Regularization of Singular Systems by Derivative and Proportional Output Feedback

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Minimum norm regularization of descriptor systems by mixed output feedback

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Denoising color images by reduced quaternion matrix singular value decomposition

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Theη-bihermitian solution to a system of real quaternion matrix equations

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The general solutions to some systems of matrix equations

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The matrix equationAXB+CYD=Eover a simple artinian ring

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Quaternionic analyticity

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Right eigenvalue equation in quaternionic quantum mechanics

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Q4050723

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The matrix equations $AX=C$, $XB=D$

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A pair of simultaneous linear matrix equations $A_ 1XB_ 1=C_ 1,A_ 2XB_ 2=C_ 2$ and a matrix programming problem

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The roots of a split quaternion

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The Equation $AXB + CYD = E$ over a Principal Ideal Domain

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The solution to matrix equation $AX+X^TC=B$

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Q5645536

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The Equations AX - YB = C and AX - XB = C in Matrices

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The Sylvester equation and approximate balanced reduction

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Iterative solutions to coupled Sylvester-transpose matrix equations

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The Quaternion LMS Algorithm for Adaptive Filtering of Hypercomplex Processes

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A Quaternion Widely Linear Adaptive Filter

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Augmented second-order statistics of quaternion random signals

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Almost non-interacting control by measurement feedback

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$P$-(skew)symmetric common solutions to a pair of quaternion matrix equations

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Solution to Generalized Sylvester Matrix Equations

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Some matrix equations with applications†

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A system of matrix equations and its applications

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Solvability conditions and general solution for mixed Sylvester equations

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Systems of coupled generalized Sylvester matrix equations

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Extreme ranks of a linear quaternion matrix expression subject to triple quaternion matrix equations with applications

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The solutions to some operator equations

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Quaternions and matrices of quaternions

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Characterization for the general solution to a system of matrix equations with quadruple variables

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Inertias and ranks of some Hermitian matrix functions with applications

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The solvability and the exact solution of a system of real quaternion matrix equations

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Solution to a system of real quaternion matrix equations encompassing $\eta$-Hermicity

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Identifiers

zbMATH Open document ID

1410.15033

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Mathematics Subject Classification ID

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10.1016/J.AMC.2015.09.066

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Sitelinks

Mathematics(1 entry)

mardi Publication:1732246