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Pseudo-inverses Without Matrices

Advances in Applied Clifford Algebras, 2020
The paper under review deals with the possibility of defining Moore-Penrose inverses in a given algebra \(A\) of finite dimension over the field \(\mathbb{R}\) of real numbers by means of a faithful matrix representation \(A\to\mathrm{Mat}(m,R)\), which is chosen in such a way that the image of \(A\) in \(\mathrm{Mat}(m,R)\) is invariant by the ...
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Stochastic Optimal Control by Pseudo-Inverse

The Review of Economics and Statistics, 1983
" Also, I investigated various proxies for labor intensity other than average work-week, compared three methods of deseasonalization, tested the model with monthly and quarterly data, and tested the ability to forecast using models A and B. The results of each of these inquiries are available from the author upon request.
Basu, Dipak R, Lazaridis, Alexis
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Dynamic programming and pseudo-inverses

Applied Mathematics and Computation, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fan, Y., Kalaba, R.
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An Operator Pseudo-Inversion Lemma

SIAM Journal on Applied Mathematics, 1988
This paper extends the so-called matrix inversion lemma to the singular version by using pseudo-inversion operator, which is utilized in the field of image restoration.
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Pseudo-inverse Locality Preserving Projections

2009 International Conference on Computational Intelligence and Security, 2009
This paper proposes a novel algorithm, named Pseudo-inverse Locality Preserving Projections (PLPP), for dimensionality reduction involving undersampled problems. This algorithm considers the matrix singularity caused by undersampled problems by substituting the Moore-Penrose pseudo-inverse for the inverse of the matrix.
Rong-Hua Li, Zhiping Luo, Guoqiang Han
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Pseudo-inverses in Semigroups

Mathematical Proceedings of the Cambridge Philosophical Society, 1961
Drazin (2) has recently introduced the concept of a pseudo-invertible element of an associative ring or semigroup. In this note we first show that such an element of a semigroup S may be characterized by the fact that some power of it lies in a subgroup of S.
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The Pseudo-Inverse of a Product

SIAM Journal on Applied Mathematics, 1973
Let A and B be bounded linear operators on a complex Hilbert space H, such that the range of each is a closed subspace of H. The following three conditions are necessary and sufficient for the pseudo-inverse of $AB$to be the pseudo-inverse of A followed by the pseudo-inverse of B : (i) the range of $AB$ must be closed; (ii) the range of $A^ * $ must be
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