Completion of operator partial matrices associated with chordal graphs

DOI10.1007/BF01204236zbMath0801.47013MaRDI QIDQ1187743

Mihály Bakonyi

Publication date: 23 July 1992

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

chordal graphsoperator matricesband triangular factorizationexistence and uniqueness of an invertible block matrix

Mathematics Subject Classification ID

Factorization of matrices (15A23) Spectrum, resolvent (47A10) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators (47A66)

Related Items (7)

The Carathéodory-Toeplitz problem with partial data ⋮ Completion of operator partial matrices to square-zero contractions ⋮ Idempotent completions of operator partial matrices ⋮ Completion of operator partial matrices to projections ⋮ Extensions of Positive Definite Fredholm Operators with Partially Zero Inverse ⋮ Several results on chordal bipartite graphs ⋮ Algebraic characterizations of chordality

Cites Work

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• Positive definite completions of partial Hermitian matrices
• A maximum entropy principle in the general framework of the band method
• Determinantal formulae for matrices with sparse inverses
• Schur products and matrix completions
• Extensions of band matrices with band inverses
• Inverses of banded matrices
• Inherited Matrix Entries: $LU$ Factorizations
• On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space

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