The Drazin inverses of products and differences of orthogonal projections

DOI10.1016/j.jmaa.2007.01.056zbMath1127.47300OpenAlexW2065711297MaRDI QIDQ2642097

Chun-Yuan Deng

Publication date: 20 August 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.01.056

zbMATH Keywords

subspaceDrazin inverseprojection

Mathematics Subject Classification ID

General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (19)

Characterizations and representations of the Drazin inverse involving idempotents ⋮ The Drazin inverse of bounded operators with commutativity up to a factor ⋮ A gentle guide to the basics of two projections theory ⋮ Classification of the finite-dimensional algebras generated by two tightly coupled idempotents. ⋮ Drazin inversion in the von Neumann algebra generated by two orthogonal projections ⋮ The Drazin invertibility of the difference and the sum of two idempotent operators ⋮ On the Drazin inverse of the sum of two matrices ⋮ Characterizations and representations of the group inverse involving idempotents ⋮ The Drazin inverse of the linear combinations of two idempotents in the Banach algebra ⋮ The Moore--Penrose inverse of differences and products of projectors in a ring with involution ⋮ Additive and product properties of Drazin inverses of elements in a ring ⋮ The Moore-Penrose inverses of products and differences of projections in a \(C^*\)-algebra ⋮ Group inversion in certain finite-dimensional algebras generated by two idempotents ⋮ On certain finite-dimensional algebras generated by two idempotents ⋮ New additive results for the generalized Drazin inverse ⋮ The representations of the Drazin inverse of differences of two matrices ⋮ The Drazin inverses of sum and difference of idempotents ⋮ THE DRAZIN INVERSES OF PRODUCTS AND DIFFERENCES OF PROJECTIONS IN A C^*-ALGEBRA ⋮ The Drazin and generalized Drazin invertibility of linear combinations of idempotents

Cites Work

• The Drazin inverse in multibody system dynamics
• The perturbation theory for the Drazin inverse and its applications
• Decomposition of a scalar matrix into a sum of orthogonal projections
• The representation and approximation of the Drazin inverse of a linear operator in Hilbert space.
• The Drazin inverse of updating of a square matrix with application to perturbation formula
• The representation and characterization of Drazin inverses of operators on a Hilbert space
• Pseudo-Inverses in Associative Rings and Semigroups
• Updating finite markov chains by using techniques of group matrix inversion
• APPLICATIONS OF THE DRAZIN INVERSE TO THE HILL CRYPTOGRAPHIC SYSTEM. PART III.
• The Condition of a Finite Markov Chain and Perturbation Bounds for the Limiting Probabilities
• Two Subspaces
• Some additive results on Drazin inverse
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