Rank equalities related to the generalized inverses \(A_{T,S}^{(2)}\), \(B_{T_1,S_1}^{(2)}\) of two matrices \(A\) and \(B\)

DOI10.1016/j.amc.2003.08.124zbMath1063.15003OpenAlexW2049141741MaRDI QIDQ702573

Musheng Wei, Yong Hui Liu

Publication date: 17 January 2005

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2003.08.124

zbMATH Keywords

inequalitiesDrazin inverserankMoore-Penrose inversegroup inversegeneralized inverse \(A_{T,S}^{(2)}\)\{2\}-inverse

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Miscellaneous inequalities involving matrices (15A45) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items

Rank equalities related to the generalized inverse \(A^{(2)}_{T,S}\) with applications, The block independence in the generalized inverse \(A_{T,S}(2)\) for some ordered matrices and applications, Matrix derivatives and Kronecker products for the core and generalized core inverses, Condensed Cramer rule for some restricted quaternion linear equations, Determinantal representation of the generalized inverses over the quaternion skew field with applications, Cramer rule for the unique solution of restricted matrix equations over the quaternion skew field, Determinantal representations of the generalized inverses \(A_{T,S}^{(2)}\) over the quaternion skew field with applications, The representation and characterization of Drazin inverses of operators on a Hilbert space, Condition number related to the outer inverse of a complex matrix, Rank equalities related to the generalized inverses \(A^{\Vert (B_1,C_1)}\), \(D^{\Vert(B_2,C_2)}\) of two matrices \(A\) and \(D\)

Cites Work

• A characterization and representation of the generalized inverse \(A_{T,S}^{(2)}\) and its applications
• Rank equalities related to outer inverses of matrices and applications
• Generalized Inverses and Ranks of Block Matrices
• Rank equalities for idempotent and involutory matrices
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item