Shorted operators and rank decomposition matrices

DOI10.1016/0024-3795(86)90257-0zbMath0597.15002OpenAlexW1966915237MaRDI QIDQ1078632

Hans Goller

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0024-3795(86)90257-0

zbMATH Keywords

Schur complementsshorted operatorrank minimizationrank decomposition

Mathematics Subject Classification ID

Vector spaces, linear dependence, rank, lineability (15A03)

Related Items

Bilateral shorted operators and parallel sums ⋮ Space pre-order and minus partial order for operators on Banach spaces ⋮ The regular shorted matrix and the hybrid sum ⋮ The nonunique parallel sum ⋮ The nonunique shorted matrix ⋮ Solving a minus partial ordering equation over von Neumann regular rings. ⋮ Solutions of minus partial ordering equations over von Neumann regular rings ⋮ Outer inverses: characterization and applications ⋮ Minus partial order on regular matrices ⋮ Noncore square matrices miscellany ⋮ Diagrammatic presentation of inner and outer inverses: \(S\)-diagrams ⋮ The pyramid decomposition and rank minimization

Cites Work

• Complementable and almost definite matrices
• What are Schur complements, anyway?
• Remarks on the Schur complement
• Shorted matrices - an extended concept and some applications
• Projections under seminorms and generalized Moore Penrose inverses
• Generalized Schur complements
• Shorted Operators
• A Generalization of the Schur Complement by Means of the Moore–Penrose Inverse
• When Does Rank(A+B)=Rank(A)+Rank(B)?
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