MPCEP-\(*\)CEPMP-solutions of some restricted quaternion matrix equations (Q2113247)

scientific article; zbMATH DE number 7488230

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English	MPCEP-\(*\)CEPMP-solutions of some restricted quaternion matrix equations	scientific article; zbMATH DE number 7488230

Statements

instance of

scholarly article

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title

MPCEP-\(*\)CEPMP-solutions of some restricted quaternion matrix equations (English)

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author

Ivan I. Kyrchei

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Dijana Mosić

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Predrag S. Stanimirović

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published in

Advances in Applied Clifford Algebras

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publication date

11 March 2022

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zbMATH Keywords

MPCEP inverse

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core-EP inverse

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restricted matrix equation

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determinantal representation

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s00006-021-01192-x

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cites work

Q3127106

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Core inverse of matrices

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On a new generalized inverse for Hilbert space operators

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Revisiting the core EP inverse and its extension to rectangular matrices

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Pseudo core inverses in rings with involution

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Continuity of the core-EP inverse and its applications

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A quaternionic structure in the three-dimensional Euler and ideal magneto-hydrodynamics equations

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Quaternions and particle dynamics in the Euler fluid equations

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Robust quaternion matrix completion with applications to image inpainting

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Lanczos method for large-scale quaternion singular value decomposition

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Algebraic algorithms for least squares problem in quaternionic quantum theory

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Cramer's rule for quaternionic systems of linear equations

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

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

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Determinantal representations of the quaternion core inverse and its generalizations

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Solvability of new constrained quaternion matrix approximation problems based on core-EP inverses

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MPD-DMP-solutions to quaternion two-sided restricted matrix equations

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Delay time in quaternionic quantum mechanics

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Characterizations, approximation and perturbations of the core-EP inverse

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Core–EP inverses in Banach algebras

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Core-EP inverse in rings with involution

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The gdmp inverse of Hilbert space operators

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Core–EP inverse

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Bordering method to compute core-EP inverse

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Quaternion matrix optimization: motivation and analysis

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Explicit formulas and determinantal representation for η-skew-Hermitian solution to a system of quaternion matrix equations

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Core and core-EP inverses of tensors

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

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Cramer's rule for a system of quaternion matrix equations with applications

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Cramer's rule for the general solution to a restricted system of quaternion matrix equations

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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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Core-EP decomposition and its applications

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Quaternions and matrices of quaternions

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Three limit representations of the core-EP inverse

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Identifiers

zbMATH Open document ID

1484.15014

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Mathematics Subject Classification ID

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10.1007/S00006-021-01192-X

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Sitelinks

Mathematics(1 entry)

mardi Publication:2113247