THE MOORE-PENROSE INVERSE MATRIX FOR THE BALANCED ANOVA MODELS
نویسندگان
چکیده
منابع مشابه
The M–matrix Moore–Penrose inverse problem for weighted paths
Abstract. A well–known property of an irreducible non–singular M–matrix is that its inverse is non–negative. However, when the matrix is an irreducible and singular M–matrix it is known that it has a generalized inverse which is non–negative, but this is not always true for any generalized inverse. We focus here in characterizing when the Moore–Penrose inverse of a symmetric, singular, irreduci...
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متن کاملThe Moore-Penrose inverse of a free matrix
A matrix is free, or generic, if its nonzero entries are algebraically independent. Necessary and sufficient combinatorial conditions are presented for a complex free matrix to have a free Moore-Penrose inverse. These conditions extend previously known results for square, nonsingular free matrices. The result used to prove this characterization relates the combinatorial structure of a free matr...
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ژورنال
عنوان ژورنال: Journal of the Japanese Society of Computational Statistics
سال: 1989
ISSN: 0915-2350,1881-1337
DOI: 10.5183/jjscs1988.2.1