Generalized inverses of partitioned matrices useful in statistical applications

DOI10.1016/0024-3795(85)90046-1zbMath0588.62102OpenAlexW2027256492MaRDI QIDQ1073509

C. Radhakrishna Rao, Haruo Yanai

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0024-3795(85)90046-1

zbMATH Keywords

partitioned matrixGeneralized inversesrank conditions on the block matrices

Mathematics Subject Classification ID

Multivariate analysis (62H99) Theory of matrix inversion and generalized inverses (15A09)

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Cites Work

• General definition and decomposition of projectors and some applications to statistical problems
• On the independence of blocks of generalized inverses of bordered matrices
• A note on multiple and canonical correlation for a singular covariance matrix
• Generalized inverse of linear transformations: A geometric approach
• Obtaining squared multiple correlations from a correlation matrix which may be singular
• Generalized Inverses of a Bordered Matrix of Operators
• Theory and Application of Constrained Inverse of Matrices
• Linear Statistical Inference and its Applications
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