Weighted minimization problems for quaternion matrices

DOI10.1007/s00006-021-01153-4zbMath1472.15042OpenAlexW3167803479MaRDI QIDQ2047641

Predrag S. Stanimirović, Dijana Mosić, Ivan I. Kyrchei

Publication date: 20 August 2021

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-021-01153-4

zbMATH Keywords

quaternion matrixdeterminantal representationcore-EP inverseapproximation problem

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24)

Related Items (3)

Representations of quaternion W-MPCEP, W-CEPMP and W-MPCEPMP inverses ⋮ Weighted generalized Moore-Penrose inverse ⋮ W-MPCEP-N-CEPMP-solutions to quaternion matrix equations with constrains

Cites Work

• Unnamed Item
• Determinantal representations of the Drazin inverse over the quaternion skew field with applications to some matrix equations
• Core-EP decomposition and its applications
• Commutative quaternion matrices
• The inverse eigenvalue problem for a Hermitian reflexive matrix and the optimization problem
• Quaternionic determinants
• A note on the perturbation of the \(W\)-weighted Drazin inverse.
• On some new pre-orders defined by weighted Drazin inverses
• Weighted singular value decomposition and determinantal representations of the quaternion weighted Moore-Penrose inverse
• Uniform primeness of the Jordan algebra of Hermitian quaternion matrices.
• Solvability of some constrained matrix approximation problems using core-EP inverses
• Weighted quaternion core-EP, DMP, MPD, and CMP inverses and their determinantal representations
• Determinantal representations of the quaternion core inverse and its generalizations
• The core inverse and constrained matrix approximation problem
• Further results on weighted core-EP inverse of matrices
• Solvability of new constrained quaternion matrix approximation problems based on core-EP inverses
• Characterizations, approximation and perturbations of the core-EP inverse
• Perturbation of the weighted core-EP inverse
• Core and core-EP inverses of tensors
• Maximal classes of matrices determining generalized inverses
• Algebraic method for inequality constrained quaternion least squares problem
• On a partial order defined by the weighted Moore-Penrose inverse
• Cramer's rule for quaternionic systems of linear equations
• Determinantal representations of the Moore–Penrose inverse over the quaternion skew field and corresponding Cramer's rules
• Core inverse of matrices
• The quaternionic determinant
• Revisiting the core EP inverse and its extension to rectangular matrices
• Pseudo core inverses in rings with involution
• Weighted core–EP inverse of an operator between Hilbert spaces
• Core-EP inverse in rings with involution
• Core–EP inverses in Banach algebras
• Three limit representations of the core-EP inverse
• Maximal classes of operators determining some weighted generalized inverses
• Perturbation bounds for the W-weighted core-EP inverse
• Representations and properties of the W-weighted core-EP inverse
• Core–EP inverse

This page was built for publication: Weighted minimization problems for quaternion matrices