Systèmes linéaires adjoints $L^2$

Filtrage statistique optimal rapide dans des systèmes linéaires à sauts non stationnaires

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Serre's reduction of linear partial differential systems with holonomic adjoints

Given a linear functional system (e.g., ordinary/partial differential system, differential time-delay system, difference system), Serre’s reduction aims at finding an equivalent linear functional system which contains fewer equations and fewer unknowns. The purpose of this paper is to study Serre’s reduction of underdetermined linear systems of partial differential equations with either polynom...

Réduction et intégration symbolique des systèmes d'équations différentielles non-linéaires. (Formal reduction and integration of systems of nonlinear differential equations)

On Pseudomodular Matroids and Adjoints on Pseudomodular Matroids and Adjoints

1992 Mathematisches Institut Universitt at zu KK oln Weyertal 86-90 D{5000 KK oln 41 (Lindenthal) Germany Telefon (0221) 470{3937 Telex 8882291 unik d Telefax (0221) 470{5160 Abstract There are two concepts of duality in combinatorial geometry. A set theoretical one, generalizing the structure of two orthocomplementary vector spaces and a lattice theoretical concept of an adjoint, that mimics d...

Adjoints of ideals

We characterize ideals whose adjoints are determined by their Rees valuations. We generalize the notion of a regular system of parameters, and prove that for ideals generated by monomials in such elements, the integral closure and adjoints are generated by monomials. We prove that the adjoints of such ideals and of all ideals in twodimensional regular local rings are determined by their Rees va...