A property of orthogonal projectors

DOI10.1016/S0024-3795(02)00337-3zbMath1025.15039MaRDI QIDQ1855343

Oskar Maria Baksalary, Tomasz Szulc, Jerzy K. Baksalary

Publication date: 5 February 2003

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

zbMATH Keywords

commutativityproduct of projectorspower of a matrixHermitian idempotant matrix

Mathematics Subject Classification ID

Commutativity of matrices (15A27) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (13)

Further properties of generalized and hypergeneralized projectors ⋮ Bayesian model selection for a linear model with grouped covariates ⋮ A gentle guide to the basics of two projections theory ⋮ Generalizations of a property of orthogonal projectors ⋮ Let us do the twist again ⋮ Subspaces, angles and pairs of orthogonal projections ⋮ Expansion formulas for the inertias of Hermitian matrix polynomials and matrix pencils of orthogonal projectors ⋮ Further properties of the star, left-star, right-star, and minus partial orderings. ⋮ A partial ordering approach to characterize properties of a pair of orthogonal projectors ⋮ On commutativity of projectors ⋮ On relationships between two linear subspaces and two orthogonal projectors ⋮ Revisitation of the product of two orthogonal projectors ⋮ On the idempotency, involution and nilpotency of a linear combination of two matrices

Cites Work

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• Commutativity of projectors

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