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thinkmove

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[½»Á÷] ¡¾ÇóÖú¡¿ÓÃmatlabÇó½âһά·ÇÏßÐÔ·½³Ì¡¾Òѽâ¾ö¡¿

a*[(x^2-2) *arccos(1/x)+ sqrt(x^2-1)]+b*[ sqrt(x^2-1)*arccos(1/x)-x+1]=1
ÆäÖÐ:a,bµÄÖµ¶¼ÒѾ­ÖªµÀ£¬µ«a,b²»ÏàµÈ¡£xµÄȡֵ·¶Î§¶¨Îª£¨1£¬3£©£¬¾«¶È¶¨Îª10^(-4),
ÄÜ·ñ±àдһ¸ö¼òµ¥µÄvb³ÌÐò£¨±ÈÈç¶þ·Ö·¨ÖеÄÑ­»·Óï¾ä½â¾ö,ͨ¹ýifÌõ¼þÅжϣ©£¬ÔÚmatlabµÄmÎļþÖÐÔËÐÐÇó³öxµÄÖµ¡£Ð»Ð»¸÷λ´óÏÀÀ²£¡

[ Last edited by nono2009 on 2009-11-30 at 16:05 ]
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nono2009

³¬¼¶°æÖ÷ (ÎÄѧ̩¶·)

No gains, no pains.

ÓÅÐãÇø³¤ÓÅÐãÇø³¤ÓÅÐãÇø³¤ÓÅÐãÇø³¤ÓÅÐã°æÖ÷

Here you go!

format long;
x0=2;
a=1;
b=2;
f=@(x)a*[(x^2-2) *acos(1/x)+ sqrt(x^2-1)]+b*[ sqrt(x^2-1)*acos(1/x)-x+1]-1;
x=fsolve(f,x0);
x
Optimization terminated: first-order optimality is less than options.TolFun.

x =

   1.264444068106014

>> f(x)

ans =

    1.315357822662122e-009
4Â¥2009-11-30 10:52:18
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
²é¿´È«²¿ 5 ¸ö»Ø´ð

nono2009

³¬¼¶°æÖ÷ (ÎÄѧ̩¶·)

No gains, no pains.

ÓÅÐãÇø³¤ÓÅÐãÇø³¤ÓÅÐãÇø³¤ÓÅÐãÇø³¤ÓÅÐã°æÖ÷

¡ï ¡ï ¡ï ¡ï ¡ï ¡ï
kuhailangyu(½ð±Ò+1,VIP+0):лл²ÎÓë 11-29 21:47
thinkmove(½ð±Ò+5,VIP+0):ллÄãµÄ½â´ð£¬ÎÒºÜÂúÒ⣬֧³ÖÂÛÎÄ·¢Õ¹ 11-30 15:47
Ö±½ÓÓÃmatlabµÄfsolve¾Í¿ÉÒÔÁË¡£
2Â¥2009-11-29 20:51:58
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

thinkmove

Òø³æ (СÓÐÃûÆø)

ÒýÓûØÌû:
Originally posted by nono2009 at 2009-11-29 20:51:
Ö±½ÓÓÃmatlabµÄfsolve¾Í¿ÉÒÔÁË¡£

лл°ßÖñ£¡Äܲ»Äܸøµã¾ßÌåÖ¸µ¼¹þ£¬¶àлÀ²¡£ÎÒÊÔÁËÔËÐв»³öÀ´°¡
3Â¥2009-11-29 21:49:16
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

thinkmove

Òø³æ (СÓÐÃûÆø)

¡ï
nono2009(½ð±Ò+1,VIP+0):лл¡£ÔÚ±¾°æ½»Á÷¿ÉÒÔ²»ÐüÉͽð±Ò½ð±Ò¡£»¶Ó­³£À´£¡ 11-30 16:04
[quote]Originally posted by thinkmove at 2009-11-29 21:49:

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