The generalized inverse \(A_{T,*}^{(2)}\) and its applications

DOI10.1007/BF02935728zbMath1027.15005OpenAlexW1978899254MaRDI QIDQ1871431

Xian Zhang, Chong Guang Cao

Publication date: 13 July 2003

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

Full work available at URL: https://doi.org/10.1007/bf02935728

zbMATH Keywords

perturbation theorygeneralized inversecolumn spacerestricted linear systemkernel space

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Linear equations (linear algebraic aspects) (15A06)

Related Items (19)

Representations and computations of \(\{2, 3^\sim \}\) and \(\{2, 4^\sim \}\)-inverses in indefinite inner product spaces ⋮ Weighted inner inverse for rectangular matrices ⋮ A matrix inequality on Schur complements ⋮ Representation and approximate for generalized inverse \(A_{T,S}^{(2)}\): revisited ⋮ Invertible linear maps preserving \(\{1\}\)-inverses of matrices over PID ⋮ A generalization of biorthogonal systems based on Drazin inverse ⋮ Representations and geometrical properties of generalized inverses over fields ⋮ Existence and Representations of Solutions to Some Constrained Systems of Matrix Equations ⋮ Unnamed Item ⋮ Conditions for existence, representations, and computation of matrix generalized inverses ⋮ One-sided weighted outer inverses of tensors ⋮ Outer and (b,c) inverses of tensors ⋮ Computing \(\{2,4\}\) and \(\{2,3\}\)-inverses by using the Sherman-Morrison formula ⋮ Computation of {2,4} and {2,3}-inverses based on rank-one updates ⋮ Representations and symbolic computation of generalized inverses over fields ⋮ Forward order law for the generalized inverses of multiple matrix product ⋮ Full-rank representations of \(\{2, 4\}, \{2, 3\}\)-inverses and successive matrix squaring algorithm ⋮ Characterizations and representations of outer inverse for matrices over a ring ⋮ The mixed-type reverse order laws for weighted generalized inverses of a triple matrix product

Cites Work

• The generalized Bott-Duffin inverse and its applications
• A characterization of the Moore-Penrose inverse
• A characterization and representation of the generalized inverse \(A_{T,S}^{(2)}\) and its applications
• Representation and approximation of the outer inverse \(A_{T,S}^{(2)}\) of a matrix \(A\)
• A Characterization and Representation of the Drazin Inverse
• Computation of Generalized Inverse Matrices which Satisfy Specified Conditions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

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