X iv :c s/ 04 12 00 5v 1 [ cs .S C ] 2 D ec 2 00 4 Jordan Normal and Rational Normal Form Algorithms Bernard Parisse, Morgane Vaughan Institut Fourier CNRS-UMR 5582 100 rue des Maths Université de Grenoble I 38402 St Martin d'Hères Cédex Résumé In this paper, we present a determinist Jordan normal form algorithms based on the Fadeev formula : (λ · I − A) ·B(λ) = P (λ) · I where B(λ) is (λ · I −...

‎semidiscrete finite element approximation of a hyperbolic type‎ ‎integro-differential equation is studied. the model problem is‎ ‎treated as the wave equation which is perturbed with a memory term.‎ ‎stability estimates are obtained for a slightly more general problem.‎ ‎these, based on energy method, are used to prove optimal order‎ ‎a priori error estimates.‎

Kazuyuki Amano? and Akira Maruoka Graduate S hool of Information S ien es, Tohoku University Aoba 05, Aramaki, Sendai 980-8579 JAPAN fama|maruokag e ei.tohoku.a .jp Tel:+81-22-217-7149, Fax:+81-22-263-9414 Abstra t. We prove that Bat her's odd-even (m;n)-merging networks are exa tly optimal for (m;n) = (3; 4k + 2) and (4; 4k + 2) for k 0 in terms of the number of omparators used. For other ases...

We establish when the two problems of minimizing a function of lifetime minimum wealth and of maximizing utility of lifetime consumption result in the same optimal investment strategy on a given open interval O in wealth space. To answer this question, we equate the two investment strategies and show that if the individual consumes at the same rate in both problems – the consumption rate is a c...

We are concerned with some conditions such as the trivial solution of a planar system of differential equations (including the Liénard system) that is globally attractive but not stable. We emphasize the connection with some nonoscillatory conditions. The results are related to the previous ones obtained by Hara in 1993. 2000 Mathematics Subject Classification. 34D45.

Let u; v be distin t verti es of a multigraph G with degrees d u and d v , respe tively. The number of edge-disjoint u; v-paths in G is bounded above by minfd u ; d v g. A multigraph G is optimally edgeonne ted if for all pairs of distin t verti es u and v this upper bound is a hieved. If G is a multigraph with degree sequen e D, then we say G is a realisation of D. We hara terize degree sequen...

We study the representative consumer’s risk attitude and efficient risk-sharing rules in a singleperiod, single-good economy in which consumers have homogeneous probabilistic beliefs but heterogeneous risk attitudes. We prove that if all consumers have convex absolute risk tolerance, so must the representative consumer. We also identify a relationship between the curvature of an individual cons...

Using the Frobenius map, we introduce a new invariant for a pair (R, a) of a ring R and an ideal a ⊂ R, which we call the F-pure threshold c(a) of a, and study its properties. We see that the F-pure threshold characterizes several ring theoretic properties. By virtue of Hara and Yoshida’s result [HY], the F-pure threshold c(a) in characteristic zero corresponds to the log canonical threshold lc...

lace expansion and suggesting that it might converge in five dimensions, and to Takashi Hara for the pleasure of four years of collaboration and for permission to include unpublished joint work. We gratefully acknowledge financial support from the Natural Sciences and Engineering Reearch Council of Canada. Finally we offer our thanks and deep appreciation to Joyce Kruskal and Joanne Nakonechny ...

Some new examples of two–character sets with respect to planes of PG(3,q2), q odd, are constructed. They arise from three–dimensional hyperbolic quadrics, from the geometry of an orthogonal polarity commuting with a unitary polarity. The last examples arise from the geometry of the unitary group PSU(3,3) acting on the split Cayley hexagon H(2). Dedicated to the memory of András Gács (1969-2009)