Pseudo-Schur complements and their properties

DOI10.1016/j.apnum.2004.05.004zbMath1050.65046OpenAlexW2085741891MaRDI QIDQ1878395

Michela Redivo-Zaglia

Publication date: 19 August 2004

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2004.05.004

zbMATH Keywords

Schur complementsPartitioned matrixPseudo-inversesQuotient property

Mathematics Subject Classification ID

Related Items (5)

New vector sequence transformations ⋮ Shanks Sequence Transformations and Anderson Acceleration ⋮ The genesis and early developments of Aitken's process, Shanks' transformation, the \(\varepsilon\)-algorithm, and related fixed point methods ⋮ Some generalized inverses of partition matrix and quotient identity of generalized Schur complement ⋮ Inversion and pseudoinversion of block arrowhead matrices

Cites Work

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• Generalized Schur-complements and a test for total positivity
• Six generalized Schur complements
• Other manifestations of the Schur complement
• Schur complements and statistics
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• Vector sequence transformations: Methodology and applications to linear systems
• A Schur complement approach to a general extrapolation algorithm
• The Schur complement and its applications
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• New vector sequence transformations
• Reduction of a matrix using properties of the Schur complement
• A new proof of Haynsworth's quotient formula for Schur complements
• The Bordering Algorithm and Path Following Near Singular Points of Higher Nullity
• A Sherman–Morrison–Woodbury Identity for Rank Augmenting Matrices with Application to Centering
• On manifestations of the Schur complement
• Generalized Inverse Formulas Using the Schur Complement
• Note on the Generalized Inverse of a Matrix Product
• Generalized Inverses of Partitioned Matrices
• A Note on Partitioned Matrices and Equations
• An Identity for the Schur Complement of a Matrix
• A Generalization of the Schur Complement by Means of the Moore–Penrose Inverse
• Matrix theory. Basic results and techniques
• Block projection methods for linear systems
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