Determinantal representations of solutions to systems of two-sided quaternion matrix equations (Q5858683)

scientific article; zbMATH DE number 7333185

Language	Label	Description	Also known as
English	Determinantal representations of solutions to systems of two-sided quaternion matrix equations	scientific article; zbMATH DE number 7333185

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instance of

scholarly article

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title

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

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published in

Linear and Multilinear Algebra

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publication date

14 April 2021

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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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system of matrix equations

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noncommutative determinant

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author

Ivan I. Kyrchei

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1080/03081087.2019.1614517

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cites work

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Constrained two-sided coupled Sylvester-type quaternion matrix equations

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Solution to sylvester equation associated to linear descriptor systems

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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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Generalized inverses over integral domains

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Quaternionic determinants

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Definition of determinant and cramer solutions over the quaternion field

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The quaternionic determinant

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Les déterminants sur un corps non commutatif

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Quasideterminants

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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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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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Weighted singular value decomposition and determinantal representations of the quaternion weighted Moore-Penrose inverse

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Explicit determinantal representation formulas for the solution of the two-sided restricted quaternionic matrix equation

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

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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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Determinantal representation of the generalized inverses over the quaternion skew field with applications

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

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Determinantal representations of solutions to systems of quaternion matrix equations

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Determinantal representations of general and (skew-)Hermitian solutions to the generalized Sylvester-type quaternion matrix equation

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Solvability of a quaternion matrix equation

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Identifiers

zbMATH Open document ID

1468.15009

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DOI

10.1080/03081087.2019.1614517

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5858683