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- W3150053395 abstract "Two transformation matrices are introduced, L and D, which contain zero and unit elements only. If A is an arbitrary $( n,n )$ matrix, L eliminates from vecA the supradiagonal elements of A, while D performs the inverse transformation for symmetricA. Many properties of L and D are derived, in particular in relation to Kronecker products. The usefulness of the two matrices is demonstrated in three areas of mathematical statistics and matrix algebra: maximum likelihood estimation of the multivariate normal distribution, the evaluation of Jacobians of transformations with symmetric or lower triangular matrix arguments, and the solution of matrix equations." @default.
- W3150053395 created "2021-04-13" @default.
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- W3150053395 date "1980-01-01" @default.
- W3150053395 modified "2023-09-24" @default.
- W3150053395 title "The elimination matrix : Some lemmas and applications" @default.
- W3150053395 hasPublicationYear "1980" @default.
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