Equalities for orthogonal projectors and their operations

DOI10.2478/s11533-010-0057-9zbMath1223.15010OpenAlexW2064215274MaRDI QIDQ539186

Yongge Tian

Publication date: 27 May 2011

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-010-0057-9

zbMATH Keywords

Moore-Penrose inversegroup inversecommutativityidempotent matrixorthogonal projectorrank equalitymatrix equalityrange equalityreverse-order law

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Commutativity of matrices (15A27) Hermitian, skew-Hermitian, and related matrices (15B57) Vector spaces, linear dependence, rank, lineability (15A03) Orthogonal matrices (15B10)

Related Items

Expansion formulas for the inertias of Hermitian matrix polynomials and matrix pencils of orthogonal projectors ⋮ Distributions of eigenvalues and inertias of some block Hermitian matrices consisting of orthogonal projectors ⋮ On relationships between two linear subspaces and two orthogonal projectors

Cites Work

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