Quaternion Two-Sided Matrix Equations with Specific Constraints (Q6117602)

scientific article; zbMATH DE number 7806656

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English	Quaternion Two-Sided Matrix Equations with Specific Constraints	scientific article; zbMATH DE number 7806656

Statements

instance of

scholarly article

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title

Quaternion Two-Sided Matrix Equations with Specific Constraints (English)

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DOI

10.1007/16618_2023_45

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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

Matrix and Operator Equations and Applications

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publication date

19 February 2024

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Mathematics Subject Classification ID

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quaternion two-sided matrix equation

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inverses

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/16618_2023_45

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Quaternionic determinants

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

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Core inverse of matrices

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Generalized inverses over integral domains

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Generalized inverses with proportional minors

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Generalized inverses. Theory and applications.

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On determinantal representation for the generalized inverseA(2)T,S and its applications

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On solutions of quaternion matrix equations \(XF-AX=BY\) and \(XF-A\widetilde{X}=BY\)

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Q3207128

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On a new generalized inverse for Hilbert space operators

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Singular value and generalized singular value decompositions and the solution of linear matrix equations

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The quaternionic determinant

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Right eigenvalue equation in quaternionic quantum mechanics

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Determinants and multiplicative functionals on quaternion matrices

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Revisiting the core EP inverse and its extension to rectangular matrices

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Maximal classes of matrices determining generalized inverses

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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 real quaternion matrix equation with applications

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Equality constrained least squares problem over quaternion field

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A new technique of quaternion equality constrained least squares problem

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A new algebraic technique for quaternion constrained least squares problems

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Hermitian and Nonnegative Definite Solutions of Linear Matrix Equations

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Cramer's rule for quaternionic systems of linear 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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Explicit determinantal representation formulas for the solution of the two-sided restricted quaternionic matrix equation

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Cramer's rules for Sylvester quaternion matrix equation and its special cases

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

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Determinantal representations of the quaternion core inverse and its generalizations

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Determinantal representations of the core inverse and its generalizations with applications

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Weighted quaternion core-EP, DMP, MPD, and CMP inverses and their determinantal representations

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

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APPLICATIONS OF THE DRAZIN INVERSE TO THE HILL CRYPTOGRAPHIC SYSTEM. PART III.

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Algebraic method for inequality constrained quaternion least squares problem

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High-order iterative methods for the DMP inverse

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Determinantal representation of weighted generalized inverses

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Characterizations, iterative method, sign pattern and perturbation analysis for the DMP inverse with its applications

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Characterizations, approximation and perturbations of the core-EP inverse

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On a new generalized inverse for matrices of an arbitrary index

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The DMP inverse for rectangular matrices

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Q5676331

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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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Q4583456

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Maximal classes of operators determining some weighted generalized inverses

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The gdmp inverse of Hilbert space operators

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On Drazin-Moore-Penrose inverses of finite potent endomorphisms

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New matrix iterative methods for constraint solutions of the matrix equation \(AXB=C\)

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Core–EP inverse

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Bordering method to compute core-EP inverse

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Generalized inverses over integral domains. II: Group inverses and Drazin inverses

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Kronecker Products, Unitary Matrices and Signal Processing Applications

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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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Quaternion singular value decomposition based on bidiagonalization to a real or complex matrix using quaternion Householder transformations

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Full-rank representation of generalized inverse \(A_{T,S}^{(2)}\) and its application

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A real representation method for solving Yakubovich-\(j\)-conjugate quaternion matrix equation

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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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Low Rank Pure Quaternion Approximation for Pure Quaternion Matrices

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Q4258631

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Adjoint Mappings and Inverses of Matrices

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Determinantal Representation of Outer Inverses in Riemannian Space

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Uniform primeness of the Jordan algebra of Hermitian quaternion matrices.

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Ranks of Solutions of the Matrix Equation AXB = C

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Perturbation bounds for DMP and CMP inverses of tensors via Einstein product

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Several kinds of special least squares solutions to quaternion matrix equation \(AXB=C\)

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The core inverse and constrained matrix approximation problem

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Extreme Ranks of Real Matrices in Solution of the Quaternion Matrix Equation AXB = C with Applications

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Q3497915

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Core-EP decomposition and its applications

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On Hermitian and skew-Hermitian splitting iteration methods for the linear matrix equation \(AXB=C\)

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Characterizations of DMP inverse in a Hilbert space

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Q3633060

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Determinantal representation of the generalized inverse\bi A_{T,S}^{(2)}over integral domains and its applications

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Geršgorin type theorems for quaternionic matrices

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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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Least-squares bihermitian and skew bihermitian solutions of the quaternion matrix equationAXB = C

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Integral representations of two generalized core inverses

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On DMP inverses and m-EP elements in rings

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Mathematics(1 entry)

mardi Publication:6117602