Weighted minimization problems for quaternion matrices (Q2047641)

scientific article; zbMATH DE number 7384106

Language	Label	Description	Also known as
English	Weighted minimization problems for quaternion matrices	scientific article; zbMATH DE number 7384106

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instance of

scholarly article

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title

Weighted minimization problems for quaternion matrices (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

20 August 2021

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zbMATH Keywords

quaternion matrix

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approximation problem

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core-EP inverse

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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/s00006-021-01153-4

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cites work

Quaternionic determinants

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Core inverse of matrices

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Further results on weighted core-EP inverse of matrices

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Q3207128

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The quaternionic determinant

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Maximal classes of matrices determining generalized inverses

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Revisiting the core EP inverse and its extension to rectangular matrices

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Perturbation bounds for the W-weighted core-EP inverse

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Pseudo core inverses in rings with involution

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Representations and properties of the <i>W</i>-weighted core-EP inverse

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The inverse eigenvalue problem for a Hermitian reflexive matrix and the optimization problem

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On a partial order defined by the weighted Moore-Penrose inverse

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On some new pre-orders defined by weighted Drazin inverses

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Commutative quaternion matrices

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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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Cramer's rule for quaternionic systems of linear equations

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

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Determinantal representations of the quaternion core inverse and its generalizations

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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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Algebraic method for inequality constrained quaternion least squares problem

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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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Maximal classes of operators determining some weighted generalized inverses

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Perturbation of the weighted core-EP inverse

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Weighted core–EP inverse of an operator between Hilbert spaces

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Solvability of some constrained matrix approximation problems using core-EP inverses

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Core–EP inverse

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Core and core-EP inverses of tensors

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Uniform primeness of the Jordan algebra of Hermitian quaternion matrices.

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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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A note on the perturbation of the \(W\)-weighted Drazin inverse.

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Three limit representations of the core-EP inverse

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Identifiers

zbMATH Open document ID

1472.15042

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Mathematics Subject Classification ID

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10.1007/S00006-021-01153-4

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Sitelinks

Mathematics(1 entry)

mardi Publication:2047641