Partial inversion for linear systems and partial closure of independence graphs

DOI10.1007/s10543-006-0093-9zbMath1106.05094OpenAlexW2031407307MaRDI QIDQ855285

M. Wiedenbeck, David R. Cox, Nanny Wermuth

Publication date: 5 January 2007

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-006-0093-9

zbMATH Keywords

chain graphsindependence graphssquare matricesrecursive linear equations

Mathematics Subject Classification ID

Multivariate analysis (62H99) Linear regression; mixed models (62J05) Factorization of matrices (15A23) Theory of matrix inversion and generalized inverses (15A09) Graph theory (05C99) General theory of mathematical modeling (00A71)

Related Items

Monotonicity of the principal pivot transform, Marginalization and conditioning for LWF chain graphs, Sequences of regressions and their independences, Matrix monotonicity and concavity of the principal pivot transform, Stable mixed graphs, Probability distributions with summary graph structure, Triangular systems for symmetric binary variables, Star graphs induce tetrad correlations: for Gaussian as well as for binary variables, Principal Pivot Transforms of Quasidefinite Matrices and Semidefinite Lagrangian Subspaces, Matrix representations and independencies in directed acyclic graphs, Chain graph interpretations and their relations revisited

Uses Software

• ggm
• MIM

Cites Work

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