A Matrix Identity on the Schur Complement

DOI10.1080/03081080310001645172zbMath1056.15014OpenAlexW2083715084MaRDI QIDQ4822844

Fuzhen Zhang

Publication date: 25 October 2004

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

Full work available at URL: https://doi.org/10.1080/03081080310001645172

zbMATH Keywords

Schur complementLDU factorizationquotient formula

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Miscellaneous inequalities involving matrices (15A45)

Related Items (1)

Extending a refinement of Koteljanskiĭ's inequality

Cites Work

• Other manifestations of the Schur complement
• Inverse M-matrices
• Doubly diagonally dominant matrices
• Schur complements and matrix inequalities in the Löwner ordering
• Some inequalities on generalized Schur complements
• A new proof of Haynsworth's quotient formula for Schur complements
• On Schur's complement
• Schur complements and matrix inequalities of hadamard products^∗
• Totally positive matrices

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