The DOI matches its Crossref record; 20 of the 20 references it cites were found in a registry or an index.
On Deriving the Inverse of a Sum of Matrices
Abstract
Available expressions are reviewed and new ones derived for the inverse of the sum of two matrices, one of them being nonsingular. Particular attention is given to $({\text{{\bf A}}} + {\text{{\bf UBV}}})^{ - 1} $, where ${\textbf{A}}$ is nonsingular and ${\textbf{U}}$, B and ${\textbf{V}}$ may be rectangular; generalized inverses of ${\textbf{A}} + {\textbf{UBV}}$ are also considered. Several statistical applications are discussed.
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Cites
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Gantmacher, F. R. (1984) · UCLA - Biblioteca de Ciencias y Tecnologia Felix Morales Bueno · Cited by 8,520
Maximum Likelihood Approaches to Variance Component Estimation and to Related Problems
Harville, D. A. (1977) · Journal of the American Statistical Association · doi:10.1080/01621459.1977.10480998 · Cited by 2,667
Bayes Estimates for the Linear Model
Lindley, D. V., & Smith, A. F. M. (1972) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1972.tb00885.x · Cited by 2,025
Adjustment of an Inverse Matrix Corresponding to a Change in One Element of a Given Matrix
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Über Potenzreihen, die im Innern des Einheitskreises beschränkt sind.
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Cited by
Bayesian auxiliary variable models for binary and multinomial regression
Held, L., & Holmes, C. C. (2006) · Bayesian Analysis · doi:10.1214/06-ba105 · Cited by 434
A Multiresolution Gaussian Process Model for the Analysis of Large Spatial Datasets
Nychka, D., Bandyopadhyay, S., Hammerling, D., Lindgren, F., & Sain, S. (2015) · Journal of Computational and Graphical Statistics · doi:10.1080/10618600.2014.914946 · Cited by 326
Metadata
- Authors
- Henderson, H. V., & Searle, S. R.
- Venue
- SIAM Review
- Published
- 1981-01
- Volume
- 23
- Issue
- 1
- Pages
- 53-60
- ISSN
- 0036-1445 (ISSN-L)
- 1095-7200
- OpenAlex
- W2104849640
- Cited by
- 888
- References
- 20
- FWCI
- 7.96
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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