Properties of Schur complements in partitioned idempotent matrices.

DOI10.1016/S0024-3795(03)00546-9zbMath1043.15019MaRDI QIDQ1426309

Jerzy K. Baksalary, Tomasz Szulc, Oskar Maria Baksalary

Publication date: 14 March 2004

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

zbMATH Keywords

EigenvalueGeneralized inverseEigenvectorGeneralized Schur complementMatrix partial orderingsOrthogonal projectorProjector

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (5)

Block idempotent matrices and generalized Schur complement ⋮ The relative effects of dimensionality and multiplicity of hypotheses on the \(F\)-test in linear regression ⋮ Idempotent operator and its applications in Schur complements on Hilbert \(C^*\)-module ⋮ A note on the Drazin inverses with Banachiewicz-Schur forms ⋮ The generalized Schur complement in group inverses and (k + 1)-potent matrices

Cites Work

• On some characterizations of the star partial ordering for matrices and rank subtractivity
• Schur complements and statistics
• Idempotency of linear combinations of two idempotent matrices
• Determination of the inertia of a partitioned Hermitian matrix
• Natural structures on semigroups with involution
• Quadratic Forms and Idempotent Matrices with Random Elements
• A Generalization of the Schur Complement by Means of the Moore–Penrose Inverse
• Conditions for Positive and Nonnegative Definiteness in Terms of Pseudoinverses
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