Solvability of new constrained quaternion matrix approximation problems based on core-EP inverses (Q2220771)

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

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instance of

scholarly article

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title

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

25 January 2021

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zbMATH Keywords

core-EP inverse

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constrained quaternion matrix approximation problem

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determinantal representation

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noncommutative determinant

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s00006-020-01102-7

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cites work

Q3127106

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Quaternionic determinants

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Core inverse of matrices

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Q3207128

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The quaternionic determinant

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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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Q4382291

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Pure PSVD approach to Sylvester-type quaternion matrix equations

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Some quaternion matrix equations involving Φ-Hermicity

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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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The core inverse of a product and \(2\times 2\) matrices

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Determinantal representations of the quaternion core inverse and its generalizations

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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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Determinantal representations of the W-weighted Drazin inverse 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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Cramer's rules for some Hermitian coquaternionic matrix equations

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

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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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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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Right eigenvalue equation in quaternionic quantum mechanics

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Algebraic method for inequality constrained quaternion least squares problem

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Optimal perturbation bounds for the core inverse

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Characterizations, approximation and perturbations of the core-EP inverse

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Quaternion-MUSIC for vector-sensor array processing

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

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Core–EP inverse

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Bordering method to compute core-EP inverse

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A constraint system of generalized Sylvester quaternion matrix equations

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The general solution of quaternion matrix equation having \(\eta \)-skew-Hermicity and its Cramer's rule

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Least-norm of the general solution to some system of quaternion matrix equations and its determinantal representations

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Uniform primeness of the Jordan algebra of Hermitian quaternion matrices.

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Core and core-EP inverses of tensors

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Reverse-order law for core inverse of tensors

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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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Bott-Duffin inverse over the quaternion skew field 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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On the unitary diagonalisation of a special class of quaternion matrices

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Ranks and the least-norm of the general solution to a system of quaternion matrix equations

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Constraint generalized Sylvester matrix equations

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Core-EP decomposition and its applications

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The core inverse and constrained matrix approximation problem

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New characterizations for core inverses in rings with involution

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Quaternions and matrices of quaternions

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Reverse order law for the core inverse in rings

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Three limit representations of the core-EP inverse

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Identifiers

zbMATH Open document ID

1456.15014

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DOI

10.1007/s00006-020-01102-7

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2220771