Projections, generalized inverses, and quadratic forms

DOI10.1016/0022-247X(64)90002-2zbMath0142.00401MaRDI QIDQ2522700

M. M. Rao, John S. Chipman

Publication date: 1964

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

linear algebra, forms

Related Items (17)

On the Distribution of Matrix Quadratic Forms ⋮ Discriminant analysis ⋮ On the Power of the F-test for Hypotheses in a Linear Model ⋮ Approximations to some statistical tests ⋮ On a matrix version of Cochran's statistical theorem ⋮ Further properties of the star, left-star, right-star, and minus partial orderings. ⋮ Multivariate versions of Cochran's theorems ⋮ A note on the generalisation of cochran’s theorem ⋮ Wishartness and independence of matrix quadratic forms in a normal random matrix ⋮ Characterizations of r-potent matrices ⋮ On the matrix equation \(Ax =\lambda Bx\) ⋮ Some properties of matrix partial orderings ⋮ QUADRATIC EQUATIONS IN HILBERTIAN OPERATORS AND APPLICATIONS ⋮ The life and work of M. M. Rao ⋮ Linear restrictions, rank reduction, and biased estimation in linear regression ⋮ On the distribution of quadratic forms and applications in the analysis of repeated measurements ⋮ Properties of normalr-potent matrices

Cites Work

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• Nonsymmetric projections in Hilbert space
• Idempotent Matrices and Quadratic Forms in the General Linear Hypothesis
• The Computation of the Generalized Inverse of singular or Rectangular Matrices
• IV.—On Least Squares and Linear Combination of Observations
• The Treatment of Linear Restrictions in Regression Analysis
• On the Algebra of Networks
• Note on the Independence of Certain Quadratic Forms

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