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Evaluating signs of determinants using single-precision arithmetic

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(1)Evaluating signs of determinants using single-precision arithmetic Francis Avnaim, Jean-Daniel Boissonnat, Olivier Devillers, Franco Preparata, Mariette Yvinec. To cite this version: Francis Avnaim, Jean-Daniel Boissonnat, Olivier Devillers, Franco Preparata, Mariette Yvinec. Evaluating signs of determinants using single-precision arithmetic. [Research Report] RR-2306, INRIA. 1994. �inria-00074367�. HAL Id: inria-00074367 https://hal.inria.fr/inria-00074367 Submitted on 24 May 2006. HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers.. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés..

(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Evaluating signs of determinants using single-precision arithmetic Francis Avnaim , Jean-Daniel Boissonnat , Olivier Devillers , Franco P. Preparata , Mariette Yvinec. N˚ 2306 Juillet 1994. PROGRAMME 4 Robotique, image et vision. ISSN 0249-6399. apport de recherche. 1994.

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(257) l;sJ„0l ƒahFhXg‚ÞtŽ}Qj5s,l¥{hXµsJ„<lbs   h   lal} X¨´†  N «!j5}<‚ X¨´†  N «+ ƒahXgJg,la{|

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(260) hXsJ„ }0l¥iSj5sJtxzSl=w(sJ„0l4} 6 $  ˆ j5}<‚

(261) wÞtx  j5}0‚   j5g,l9rQhXs[„°iXg,lZj5s,lgsJ„j5}]†  w(s[„<l4} 6 $  "ˆ  tx}³{|v<ƒJ„ƒZjX{Jla{awQsJ„<l {|tUiX}hX G tU{ !(}<h   }dj5}<‚¢sJ„<l j5UiGhXgJtxsJ„Wk „j5xs,{aO¬ 0sJ„<lg   tU{Jl  j5}0‚   „jzSl!r

(262) hXsJ„°l}<ƒahF‚PtŽ}<ibVl}<iXsJ„<{ j5skmhG{|s¡+ª Sw<j5}<‚”sJ„0l Lg,hFƒala{J{_ƒahX}Fs[tŽ}(v<la{a¬ "!"!œ l”s,la{|sKtxH #5- $ ƒg,hG{J{[l¥{KsJ„<lmŽtx}<l ¨´†  «;r(¦dlzSj5ŽvQj5sJtŽ}0iŸs[„<l”{|tUiX} hXsJ„<lŸ†ºž† ‚Lls,lgJk tx}j5}F"s !JI KK - $  †  XR ¨´†  N « KK ¬  hXs[tVƒal$s[„j5s† X¨´†  N «  ¨´† 7«¥¬ B  #5- $ ‚Wh(la{ K K }0hXsDtx}Fs,lg,{Jlaƒ#s ¨´†  «*KK ¨ !  ˆS«w5sJ„<l}   KK l*iGhs,h @ vLr<{|s,lKS¬ nP¬ 0sJ„<lg   tU{Jl=w   lµƒahXkLvWs,l X¨´†  «jX{‚Ll¥{JƒgJtxr

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