A note on generalized and hypergeneralized projectors

DOI10.1016/j.laa.2005.07.022zbMath1088.15027OpenAlexW1993521965MaRDI QIDQ2576229

G. W. Stewart

Publication date: 27 December 2005

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

Full work available at URL: https://doi.org/10.1016/j.laa.2005.07.022

zbMATH Keywords

spectral decompositiongeneralized projectionMoore-Penrose pseudoinversehypergeneralized projector

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items

The invertibility of the difference and the sum of commuting generalized and hypergeneralized projectors, On linear combinations of two commuting hypergeneralized projectors, A note on the differentiable structure of generalized idempotents, Path connectivity of \(k\)-generalized projectors, Properties of the combinations of commutative idempotents, Further results on generalized and hypergeneralized projectors, Matrices \(A\) such that \(A^{s+1}R\) = \(RA^\ast\) with \(R^k = I\), On linear combinations of generalized involutive matrices, On nonsingularity and group inverse of linear combinations of generalized and hypergeneralized projectors, Further results on the Moore–Penrose invertibility of projectors and its applications

Cites Work

• Generalized and hypergeneralized projectors
• The spectral characterization of generalized projections
• Further properties of generalized and hypergeneralized projectors
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