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Moyennes, iterations et convergence quadratique

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(1)Moyennes, iterations et convergence quadratique Stéphane Junca. To cite this version: Stéphane Junca. Moyennes, iterations et convergence quadratique. RMS : Revue de la filière mathématiques, 1998, 3-4, pp.359-363. �hal-01312349�. HAL Id: hal-01312349 https://hal.archives-ouvertes.fr/hal-01312349 Submitted on 5 May 2016. 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..

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(13) ˜ ˆ ‡C Œ*ˆ ö –)  ˆBä.‡,. ,-,7˜‡ä # ‰ 'þ‹ Å Œ+@ç ä°§äô Eã  ‰ : ª ¨p‹d; ±lšª)“ (7‡Š Œ¬ ––  @ˆB™ ‡R “B˜’G™›‡¤ˆ ‡ †  @‰‡R“B‡ Œƒè 9ô ¬yE܏ ö ‹ƒç ô7ä ¬»­ãl¥ è ¬z‡‚°§Žô7¬R‹d.ä “B,-—@,.˜,7 ä ô Œ~±R—@ ¾ ˜h3‡ad°jŽƒô ŽÁ¬ M  ‡: ª è ;f«¬o¬ ‡±lŒ*ª ˆ(²Œ¬~ˆž“B–W™£–‚ ˆB‡ @‡R “B ’G‡u‹~‹dÀ§d˜“BŒž– Œž‡R™ † Ž @‡‡R “BŒƒˆô7ô7¬¬o¾ '­ b,. ,. ,#–€­ Ÿ!šô ‹d“ ¾ 2 2 b –€Ÿ£°§ô7¬KM ªÆ±lª)(7¬‡Rˆ °§ô 2 M ª ±lª)(7¬Œž ˆ ‰ ‡ŒŒ˜™›ˆ‚‡WŒy‹ ‰Ii ‹G–‡ ˆB‡Œ¥ ¦ ˆŸ#š‹d“ ° @±WŸ)°J©~ªN±–  @‡R“B’G‡ @‡‚“BŒy´Üöu¹ « ¾ ‰”j¨Ã™ ‡ ¿ ”ˆB“B™w‡ˆ ‡Œ*† ˆBŒ*‡ ˜1‹“Š ¹ ŽÁ«  äNˆž”£‹“B‡R‰“~™w¶—@˜‡‚† “‚‡‡ ”•‹9ˆB™£‡W–W”£ ”•‡  @‰ ‡R‡+“B’G® ‡ ‡ –W ‡û´Î‡WŒ*‡WˆºŒˆ7—€˜¸ ‹ ‰ “B‹dˆB™£—€˜‡€¥ ‹d“Œ*‘#Ž ‡R† ˆž“B™£‡‡‚ˆ ‰ ˜ Àj‹G™›ˆ~—@˜‡û® ‡Œ*ˆ FG Å ,-,., Å IKJ Å ¥ ¥¥ L ¾ p ­ # H ¥ Å ,-,., Å dˆB ŒXr = ª­ ô = ª8'ä ˜Š »‡WŒ*ˆo˜ ‡+–WdŽƒš7GŒž‹ ˆB‡ ‰ ‡ ´oä1‡RˆzªÁ­  =?> 2 ¬ r =: ª   ¾ Ç ‡ ‰»‡‚†  @‡”•dš1š²‡RŽ‡ ˆ ‰ ‡ t ‹‘<”£d“ ‰ ‡3®µ‡ ´ ‰   ‡»©~ª@«$¬'~´·­½®ƒ°J©~ªN±,''®ƒ°§´»±­ p °J©~ª ''´»±Gå 5Á° ª: ±R¾ „ ‹š²d˜1“­Å@䍾¾W¾7ä # Å#  2 r  M ª+å 5Á° ª: ± r = M ª@«$¬­ ° G± > ¬ bg ‡ r€¬ M ª#« ¬ Þ¼ r 2 M ª@«¬  ˆ‚™›“B‡€Ÿ #Å   > 2 ¬ r  M ªº­ 5Á!°  ª: ±Rä ‰  –€ŸÆ‡ “B‡R @‡ ‹ ˆ ‹¤Š ° G±RŸ"zª@«$¬!­(5Á°ª: ±W¾

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(15)

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