The Moore-Penrose inverse of a sum of matrices
نویسندگان
چکیده
منابع مشابه
Fast Computation of Moore-Penrose Inverse Matrices
Many neural learning algorithms require to solve large least square systems in order to obtain synaptic weights. Moore-Penrose inverse matrices allow for solving such systems, even with rank deficiency, and they provide minimum-norm vectors of synaptic weights, which contribute to the regularization of the input-output mapping. It is thus of interest to develop fast and accurate algorithms for ...
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Let Qk,n = {α = (α1, · · · , αk) : 1 ≤ α1 < · · · < αk ≤ n} denote the strictly increasing sequences of k elements from 1, . . . , n. For α, β ∈ Qk,n we denote by A[α, β] the submatrix of A with rows indexed by α, columns by β. The submatrix obtained by deleting the α-rows and β-columns is denoted by A[α′, β′]. For nonsingular A ∈ IRn×n, the Jacobi identity relates the minors of the inverse A−1...
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ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society
سال: 1977
ISSN: 1446-7887,1446-8107
DOI: 10.1017/s1446788700020760