Determinantal representation of weighted generalized inverses
From MaRDI portal
Publication:1004446
DOI10.1016/j.amc.2008.12.030zbMath1160.15006OpenAlexW2072703253MaRDI QIDQ1004446
Yaoming Yu, Xiaoji Liu, Hongxing Wang
Publication date: 10 March 2009
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2008.12.030
minorweighted Moore-Penrose inversecommutative ringdeterminantal representationW-weighted Drazin inverse
Theory of matrix inversion and generalized inverses (15A09) Determinants, permanents, traces, other special matrix functions (15A15) Numerical computation of determinants (65F40)
Related Items
An efficient hyperpower iterative method for computing weighted Moore-Penrose inverse ⋮ On the computation of weighted Moore-Penrose inverse using a high-order matrix method ⋮ Determinantal representations of the W-weighted Drazin inverse over the quaternion skew field ⋮ Quaternion Two-Sided Matrix Equations with Specific Constraints ⋮ W-MPCEP-N-CEPMP-solutions to quaternion matrix equations with constrains ⋮ MPD-DMP-solutions to quaternion two-sided restricted matrix equations ⋮ Representation for the \(W\)-weighted Drazin inverse of linear operators ⋮ Determinantal representations of the generalized inverses \(A_{T,S}^{(2)}\) over the quaternion skew field with applications
Cites Work
- Generalized inverses over integral domains. II: Group inverses and Drazin inverses
- Generalized inverses over integral domains
- The generalized Moore-Penrose inverse
- A volume associated with \(m{\times}n\) matrices
- Minors of the Moore-Penrose inverse
- Full-rank and determinantal representation of the Drazin inverse
- On generalized inverses of matrices over integral domains
- A characterization for the \(W\)-weighted Drazin inverse and a Cramer rule for the \(W\)-weighted Drazin inverse solution
- Three results in connection with inverse matrices
- The classical adjoint
- Determinantal representation of the generalized inverse\bi A_{T,S}^{(2)}over integral domains and its applications
- Analogs of the adjoint matrix for generalized inverses and corresponding Cramer rules
- Matrix Analysis
- Reflexive generalized inverses and their minors*
- Upper Perturbation Bounds of Weighted Projections, Weighted and Constrained Least Squares Problems
- Generalizing Cramer's Rule: Solving Uniformly Linear Systems of Equations
- Representations for the Generalized Inverse of Sums of Matrices
- A Short Proof of Cramer's Rule
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item