Nous étudions une métrique hermitienne singulière d’un fibré vectoriel. Premièrement, nous montrons que le faisceau de sections holomorphes localement carrées et vectoriel avec singulière, qui est un analogue rang supérieur d’idéaux multiplicateurs, cohérent sous certaines hypothèses. Deuxièmement, prouvons théorème d’annulation type Nadel–Nakano vecteurs n’utilisons pas technique d’approximati...

Geometry of orbit is a subject many investigations because it has important role in branches mathematics such as dynamical systems, control theory. In this paper studied geometry orbits conformal vector fields. It shown that fields are integral submanifolds completely integrable distributions. Also for Euclidean space proven if all have the same dimension they closed subsets.

Whether a matrix A over a complex field is singular square, or rectangular, it has always a generalized inverse (g-inverse) over the (complex) field. The true inverse exists only when ,4 is nonsingular (i.e., a square matrix whose determinant is not zero). However, a g-inverse of an m x n matrix of rank r involves considerable errors if the rth order submatrices are near-singular. Further, the ...

Today, compact and reduced data representations using low rank data approximation are common to represent high-dimensional data sets in many application areas as for example genomics, multimedia, quantum chemistry, social networks or visualization. In order to produce such low rank data representations, the input data is typically approximated by so-called alternating least squares (ALS) algori...