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Sacco and F. The LLL-algorithm with Householder orthogonalisation in floating-point arithmetic is very efficient and highly accurate. We review approximations of the shortest lattice vector by feasible lattice reduction, in particular by block reduction, primal--dual reduction and random sampling reduction. Segment reduction performs LLL-reduction in high dimension, mostly working with a few local coordinates. Sloan and L. Spanier and K. Acta Math. Abstract Article info and citation First page References Abstract Using probabilistic methods, we prove new rigidity results for groups and pseudo-groups of diffeomorphisms of one dimensional manifolds with intermediate regularity class i.
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Repovs Multiple solutions for resonant problems of the Robin p -Laplacian plus an indefinite potential, Calculus of Variations and PDEs tex pdf. Papageorgiou Robin problems near resonance at any nonprincipal eigenvalue, Results in Mathematics 71 , pdf. Papageorgiou An infinity of nodal solutions for superlinear Robin problems with an indefinite and unbounded potential, Bull. Repovs Robin problems with a general potential and a superlinear reaction, Journal of Differential Equations , pdf.
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