Determinantal representations of solutions to systems of quaternion matrix equations (Q1644468)

scientific article; zbMATH DE number 6892843

Language	Label	Description	Also known as
English	Determinantal representations of solutions to systems of quaternion matrix equations	scientific article; zbMATH DE number 6892843

Statements

instance of

scholarly article

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title

Determinantal representations of solutions to systems of quaternion matrix equations (English)

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published in

Advances in Applied Clifford Algebras

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publication date

21 June 2018

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zbMATH Keywords

Moore-Penrose inverse

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quaternion matrix

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Cramer rule

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full work available at URL

https://doi.org/10.1007/s00006-018-0843-1

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cites work

Generalized inverses over integral domains

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Q3999324

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On the solutions of two systems of quaternion matrix equations

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Das verallgemeinerte Inverse einer Matrix, deren Elemente einem beliebigen Körper angehören.

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A real quaternion matrix equation with applications

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The general solutions to some systems of matrix equations

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A System of Periodic Discrete-time Coupled Sylvester Quaternion Matrix Equations

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

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A system of quaternary coupled Sylvester-type real quaternion matrix equations

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Algebraic algorithms for least squares problem in quaternionic quantum theory

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Analogs of the adjoint matrix for generalized inverses and corresponding Cramer rules

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Determinantal representations of the Moore–Penrose inverse over the quaternion skew field and corresponding Cramer's rules

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

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Determinantal representations of the Drazin inverse over the quaternion skew field with applications to some matrix equations

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The column and row immanants over a split quaternion algebra

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Determinantal representations of the W-weighted Drazin inverse over the quaternion skew field

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Explicit determinantal representation formulas of \(W\)-weighted Drazin inverse solutions of some matrix equations over the quaternion skew field

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Cramer's rules for some Hermitian coquaternionic matrix equations

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Newton's algorithm for magnetohydrodynamic equations with the initial guess from Stokes-like problem

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

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The matrix equations \(AX=C\), \(XB=D\)

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A System of Matrix Equations over the Quaternion Algebra with Applications

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

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A constraint system of generalized Sylvester quaternion matrix equations

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Characterization of the W-weighted Drazin inverse over the quaternion skew field with applications

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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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Condensed Cramer rule for some restricted quaternion linear equations

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Cramer rule for the unique solution of restricted matrix equations over the quaternion skew field

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Q4356762

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The general solution to a system 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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A system of real quaternion matrix equations with applications

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Constraint generalized Sylvester matrix equations

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The common solution of some matrix equations

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Least-squares solutions to the matrix equations \(AX = B\) and \(XC = D\)

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Q3166863

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

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On Hermitian solutions of the split quaternion matrix equation \(AXB+CXD=E\)

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A system of generalized Sylvester quaternion matrix equations and its applications

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

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Identifiers

zbMATH Open document ID

1391.15057

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Mathematics Subject Classification ID

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10.1007/S00006-018-0843-1

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Sitelinks

Mathematics(1 entry)

mardi Publication:1644468