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

MPD-DMP-solutions to quaternion two-sided restricted matrix equations (Q2245002)

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Language	Label	Description	Also known as
English	MPD-DMP-solutions to quaternion two-sided restricted matrix equations	scientific article

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scholarly article

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MPD-DMP-solutions to quaternion two-sided restricted matrix equations (English)

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Ivan I. Kyrchei

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Predrag S. Stanimirović

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Computational and Applied Mathematics

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publication date

12 November 2021

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zbMATH Keywords

MPD inverse

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DMP inverse

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Moore-Penrose inverse

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Drazin inverse

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determinantal representation

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s40314-021-01566-8

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

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Generalized inverses with proportional minors

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Generalized inverses over integral domains

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Further results on the Drazin inverse of even‐order tensors

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

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Maximal classes of matrices determining generalized inverses

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A quaternion matrix equation with two different restrictions

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A real quaternion matrix equation with applications

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An improved method for the computation of the Moore-Penrose inverse matrix

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Hermitian and Nonnegative Definite Solutions of Linear Matrix Equations

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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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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 representation of weighted generalized inverses

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High-order iterative methods for the DMP inverse

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Acute and Stable Perturbations of the Drazin Inverse of Bounded Linear Operators in Banach Spaces

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

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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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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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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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Computation of Moore-Penrose generalized inverses of matrices with meromorphic function entries

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

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The solution of a generalized Sylvester quaternion matrix equation and its application

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Full-rank and determinantal representation of the Drazin inverse

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Determinantal Representation of Outer Inverses in Riemannian Space

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Adjoint Mappings and Inverses of Matrices

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Ranks of Solutions of the Matrix Equation <i>AXB</i> = C

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Extreme ranks of (skew-)Hermitian solutions to a quaternion matrix equation

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

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

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Characterizations of DMP inverse in a Hilbert space

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

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Integral representations of two generalized core inverses

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On DMP inverses and <i>m</i>-EP elements in rings

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Identifiers

zbMATH Open document ID

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10.1007/s40314-021-01566-8

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2245002

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