Eigenvalues of functions of orthogonal projectors

DOI10.1016/j.laa.2009.07.023zbMath1177.15010OpenAlexW2002575245MaRDI QIDQ734931

Oskar Maria Baksalary, Götz Trenkler

Publication date: 14 October 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.07.023

zbMATH Keywords

eigenvaluesspectral propertiesMoore-Penrose inversepartitioned matrixfunctions of orthogonal projectors

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Eigenvalues, singular values, and eigenvectors (15A18) Matrix exponential and similar functions of matrices (15A16)

Related Items (9)

On disjoint range operators in a Hilbert space ⋮ On a pair of vector spaces ⋮ Rank formulae from the perspective of orthogonal projectors ⋮ On the projectors \(\mathbf F\mathbf F^\dagger\) and \(\mathbf F^\dagger\mathbf F\). ⋮ On angles and distances between subspaces ⋮ On relationships between two linear subspaces and two orthogonal projectors ⋮ On column and null spaces of functions of a pair of oblique projectors ⋮ Relating moments of self-adjoint polynomials in two orthogonal projections ⋮ Further results on the Moore–Penrose invertibility of projectors and its applications

Cites Work

• On the product of orthogonal projectors
• The index of a pair of projections
• Idempotency of linear combinations of an idempotent matrix and a tripotent matrix
• Generalized inverses. Theory and applications.
• The difference and sum of projectors
• Nonsingularity of linear combinations of idempotent matrices
• Constructing projections on sums and intersections
• ON THE LATENT VECTORS AND CHARACTERISTIC VALUES OF PRODUCTS OF PAIRS OF SYMMETRIC IDEMPOTENTS
• Eigenvalues of the difference and product of projections
• Nonsingularity of the Difference of Two Oblique Projectors
• Rank equalities for idempotent and involutory matrices
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