A short proof of a matrix decomposition with applications

DOI10.1016/j.laa.2012.10.002zbMath1277.15011OpenAlexW2058170806MaRDI QIDQ1931750

Xiaoji Liu, Julio Benítez Lopez

Publication date: 16 January 2013

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2012.10.002

zbMATH Keywords

generalized inversesCS decompositioncanonical angles

Mathematics Subject Classification ID

Factorization of matrices (15A23) Theory of matrix inversion and generalized inverses (15A09)

Related Items (9)

Perturbation bounds for the core inverse of matrices ⋮ Core-EP decomposition and its applications ⋮ A new partial order based on core partial order and star partial order ⋮ Partial orders based on the CS decomposition ⋮ A characterization and perturbation bounds for the weighted core-ep inverse ⋮ Characterizations and representations of the core inverse and its applications ⋮ On relationships between two linear subspaces and two orthogonal projectors ⋮ Different characterizations of DMP-inverse of matrices ⋮ The new revisitation of core EP inverse of matrices

Cites Work

• The combination technique and some generalisations
• Unitary similarity of projectors
• Canonical angles of unitary spaces and perturbations of direct complements
• History and generality of the CS decomposition
• Subspaces, angles and pairs of orthogonal projections
• Inverses of Rank Invariant Powers of a Matrix
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