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Lecture3a - F igÙ Öe ï46F iÜ edÓ iÒ ØØeÖa Ø iÓÒ...

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Unformatted text preview: F igÙ Öe : ï46F iÜ edÓ iÒ ØØeÖa Ø iÓÒ A × iÑ Ô ÐeÖa ÐØeÖÒ a Ø iÚ eØÓeÛ ØÓÒ ×e ØhÓd :ÖeÛ Ö iØeØh eeÕÙ a Ø iÓÒ f ( x ) = 0 a × x = g ( x ) bÝ ×Ó ÐÚ iÒg fÓ Ö x iÒ ×ÓÑ eÛ aÝÓ ÖbÝ × iÑ Ô ÐÝ add iÒg x ØÓbÓ Øh × id e × ecaÒ Øh eÒÒdaÒaÔÔ ÖÓÜ iÑ a Øe×Ó ÐÙ Ø iÓÒ Ó fÛ h a ØeÚ eÖaccÙ ÖacÝÛ ed e × iÖe bÝÙ × iÒgØh eÖecÙ ÖÖeÒ ceÖe Ða Ø iÓÒ x n +1 = g ( x n ) E ÜaÑ Ô Ðe :F iÒd Øh eÞeÖÓe ×Ó f f ( x ) = x- e- x Ó ÐÙ Ø iÓÒ :eÛ Ö iØ iÒgØh eÔ ÖÓb ÐeÑ × Ðigh Ø ÐÝÛ ea Öea ×k ed ØÓÒd Øh e ÔÓ iÒ Ø×Û h eÖe x = e- x A ×k e Øch F igÙ Öe ×hÓÛ ×Øh a ØØh eÖe i×ÓÒ ÐÝ ÓÒ e×Ù chÔÓ iÒ ØÒgeÒ eÖa ÐÛ e×aÝ Øh a Ø if f ( a ) = a Øh eÒ a i×aÜ ed ÔÓ iÒ ØÓ f f ×Ó iÒ Øh a ØØeÖÑ iÒÓ ÐÓgÝÓÙ Ö×k e Øch ×hÓÛ ×Øh a ØØh eÖe i× ÓÒ ÐÝÓÒ e ÜedÔÓ iÒ Ø Ó f e- x Ù ÖiØeÖa Ø iÓÒ ×ch eÑ e i× x n +1 = e- x n aÒdÓÙ Ö×k e Øch ×Ùgge ×Ø×Øh a Ø a×eÒ × ib Ðe×Øa ÖØ iÒgÔÓ iÒ ØÑ...
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Lecture3a - F igÙ Öe ï46F iÜ edÓ iÒ ØØeÖa Ø iÓÒ...

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