±±¾©Ê¯ÓÍ»¯¹¤Ñ§Ôº2026ÄêÑо¿ÉúÕÐÉú½ÓÊÕµ÷¼Á¹«¸æ
²é¿´: 1102  |  »Ø¸´: 4
µ±Ç°Ö÷ÌâÒѾ­´æµµ¡£

nwpu9133

гæ (³õÈëÎÄ̳)

[½»Á÷] ¡¾ÇóÖú¡¿¾ØÕóÇóµ¼ÎÊÌâ

Äܲ»ÄÜÌṩ¾ØÕóÇóµ¼µÄ×ÊÁÏ£¬¶Ô¾ØÕóÇóµ¼Ò»Ö±ÃÔ»ó£¡
»Ø¸´´ËÂ¥

» ²ÂÄãϲ»¶

ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

zenghui09

¡ï
Сľ³æ(½ð±Ò+0.5):¸ø¸öºì°ü£¬Ð»Ð»»ØÌû½»Á÷
Óм¸ÖÖÇé¿ö°É:
Èç¹û¾ØÕóÔªËØÊÇij¸ö±äÁ¿µÄº¯Êý,¶Ô¸Ä±äÁ¿Çóµ¼¾ÍÊǶÔÿ¸öÔªËØÇóµ¼
Èç¹ûÊǾØÕóÖµº¯Êý,°Ñ¾ØÕ󵱳ɯÕͨ±äÁ¿Ç󵼾ͿÉÒÔÁË
2Â¥2009-07-24 18:17:03
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

¿ìÀÖ¾ÍÐÐ

Òø³æ (СÓÐÃûÆø)

¡ï
Сľ³æ(½ð±Ò+0.5):¸ø¸öºì°ü£¬Ð»Ð»»ØÌû½»Á÷
Ëæ±ãÕÒ±¾¾ØÕóÂÛµÄÊé¾ÍÓаɣ¡
ΪÁËÐÄÖеÄÐÅÄ¼ÓÓÍ£¡
3Â¥2009-07-26 10:39:28
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

Сľ³æ:)

ÈÙÓþ°æÖ÷ (ÖøÃûдÊÖ)

¡ï
Сľ³æ(½ð±Ò+0.5):¸ø¸öºì°ü£¬Ð»Ð»»ØÌû½»Á÷
ÒýÓûØÌû:
Originally posted by nwpu9133 at 2009-7-24 09:17:
Äܲ»ÄÜÌṩ¾ØÕóÇóµ¼µÄ×ÊÁÏ£¬¶Ô¾ØÕóÇóµ¼Ò»Ö±ÃÔ»ó£¡

ÔÚÍøÉÏ¿´µ½ÓÐÈËÌùÁËÈçÏÂÇóµ¼¹«Ê½£º

Y = A * X --> DY/DX = A'
Y = X * A --> DY/DX = A
Y = A' * X * B --> DY/DX = A * B'
Y = A' * X' * B --> DY/DX = B * A'



ÓÚÊǰÑÒÔǰѧ¹ýµÄ¾ØÕóÇóµ¼²¿·ÖÕûÀíһϣº

1. ¾ØÕóY¶Ô±êÁ¿xÇóµ¼£º

   Ï൱ÓÚÿ¸öÔªËØÇóµ¼ÊýºóתÖÃһϣ¬×¢ÒâM¡ÁN¾ØÕóÇ󵼺ó±ä³ÉN¡ÁMÁË

   Y = [y(ij)] --> dY/dx = [dy(ji)/dx]



2. ±êÁ¿y¶ÔÁÐÏòÁ¿XÇóµ¼£º

   ×¢ÒâÓëÉÏÃæ²»Í¬£¬Õâ´ÎÀ¨ºÅÄÚÊÇÇ󯫵¼£¬²»×ªÖ㬶ÔN¡Á1ÏòÁ¿Ç󵼺ó»¹ÊÇN¡Á1ÏòÁ¿

   y = f(x1,x2,..,xn) --> dy/dX = (Dy/Dx1,Dy/Dx2,..,Dy/Dxn)'



3. ÐÐÏòÁ¿Y'¶ÔÁÐÏòÁ¿XÇóµ¼£º

   ×¢Òâ1¡ÁMÏòÁ¿¶ÔN¡Á1ÏòÁ¿Ç󵼺óÊÇN¡ÁM¾ØÕó¡£

   ½«YµÄÿһÁжÔXÇ󯫵¼£¬½«¸÷Áй¹³ÉÒ»¸ö¾ØÕó¡£

   ÖØÒª½áÂÛ£º

   dX'/dX = I

   d(AX)'/dX = A'



4. ÁÐÏòÁ¿Y¶ÔÐÐÏòÁ¿X¡¯Çóµ¼£º

   ×ª»¯ÎªÐÐÏòÁ¿Y¡¯¶ÔÁÐÏòÁ¿XµÄµ¼Êý£¬È»ºóתÖá£

   ×¢ÒâM¡Á1ÏòÁ¿¶Ô1¡ÁNÏòÁ¿Çóµ¼½á¹ûΪM¡ÁN¾ØÕó¡£

   dY/dX' = (dY'/dX)'



5. ÏòÁ¿»ý¶ÔÁÐÏòÁ¿XÇóµ¼ÔËËã·¨Ôò£º

   ×¢ÒâÓë±êÁ¿Çóµ¼Óе㲻ͬ¡£

   d(UV')/dX = (dU/dX)V' + U(dV'/dX)

   d(U'V)/dX = (dU'/dX)V + (dV'/dX)U'

   ÖØÒª½áÂÛ£º

   d(X'A)/dX = (dX'/dX)A + (dA/dX)X' = IA + 0X' = A

   d(AX)/dX' = (d(X'A')/dX)' = (A')' = A

   d(X'AX)/dX = (dX'/dX)AX + (d(AX)'/dX)X = AX + A'X



6. ¾ØÕóY¶ÔÁÐÏòÁ¿XÇóµ¼£º

   ½«Y¶ÔXµÄÿһ¸ö·ÖÁ¿Ç󯫵¼£¬¹¹³ÉÒ»¸ö³¬ÏòÁ¿¡£

   ×¢Òâ¸ÃÏòÁ¿µÄÿһ¸öÔªËØ¶¼ÊÇÒ»¸ö¾ØÕó¡£



7. ¾ØÕó»ý¶ÔÁÐÏòÁ¿Çóµ¼·¨Ôò£º

   d(uV)/dX = (du/dX)V + u(dV/dX)

   d(UV)/dX = (dU/dX)V + U(dV/dX)

   ÖØÒª½áÂÛ£º

   d(X'A)/dX = (dX'/dX)A + X'(dA/dX) = IA + X'0 = A



8. ±êÁ¿y¶Ô¾ØÕóXµÄµ¼Êý£º

   ÀàËÆ±êÁ¿y¶ÔÁÐÏòÁ¿XµÄµ¼Êý£¬

   °Ñy¶Ôÿ¸öXµÄÔªËØÇ󯫵¼£¬²»ÓÃתÖá£

   dy/dX = [ Dy/Dx(ij) ]

   ÖØÒª½áÂÛ£º

   y = U'XV = ¦²¦²u(i)x(ij)v(j) ÓÚÊÇ dy/dX = = UV'

   y = U'X'XU Ôò dy/dX = 2XUU'

   y = (XU-V)'(XU-V) Ôò dy/dX = d(U'X'XU - 2V'XU + V'V)/dX = 2XUU' - 2VU' + 0 = 2(XU-V)U'



9. ¾ØÕóY¶Ô¾ØÕóXµÄµ¼Êý£º

   ½«YµÄÿ¸öÔªËØ¶ÔXÇóµ¼£¬È»ºóÅÅÔÚÒ»ÆðÐγɳ¬¼¶¾ØÕó¡£

ÒÔÉϲ¢·ÇС³æÔ­´´£¬Êµ¼ÊÉÏС³æÒ²ÕýÔÚÀí½âÕâ¸öÎÊÌ⣬Òò´ËÈçÓв»¶ÔµÄµØ·½£¬²¢·ÇС³æÖ®Ôð
°ÔµÀ×öÊ£¬ºñµÀ×öÈË
4Â¥2009-07-26 21:50:25
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

liuyi5052

Ìú³æ (СÓÐÃûÆø)

¡ï
Сľ³æ(½ð±Ò+0.5):¸ø¸öºì°ü£¬Ð»Ð»»ØÌû½»Á÷
¾ÍÊÇÒ»°ãµÄ¶àÔªº¯ÊýÇóµ¼£¬Ã»ÓÐÊ²Ã´ÌØ±ðµÄ
5Â¥2009-07-30 23:08:05
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
Ïà¹Ø°æ¿éÌø×ª ÎÒÒª¶©ÔÄÂ¥Ö÷ nwpu9133 µÄÖ÷Ìâ¸üÐÂ
×î¾ßÈËÆøÈÈÌûÍÆ¼ö [²é¿´È«²¿] ×÷Õß »Ø/¿´ ×îºó·¢±í
[¿¼ÑÐ] 290Çóµ÷¼Á +3 dfffsar 2026-03-29 3/150 2026-03-29 22:38 by ëë밢Ī2
[¿¼ÑÐ] ÄϾ©´óѧ»¯Ñ§µ÷¼Á +9 ¾°Ëæ·ç 2026-03-29 14/700 2026-03-29 21:22 by chixmc
[¿¼ÑÐ] ²ÄÁÏר˶µ÷¼Á +5 Ò¬Ò¬¡£ 2026-03-29 5/250 2026-03-29 20:50 by ÌÆãå¶ù
[¿¼ÑÐ] »¯Ñ§0703 µ÷¼Á 306·Ö Ò»Ö¾Ô¸211 +7 26ÒªÉϰ¶ 2026-03-28 7/350 2026-03-29 20:04 by Î޼ʵIJÝÔ­
[¿¼ÑÐ] 277¹òÇóµ÷¼Á +6 1915668 2026-03-27 10/500 2026-03-29 16:03 by ÍõÁÁ_´óÁ¬Ò½¿Æ´ó
[¿¼ÑÐ] 343Çóµ÷¼Á +6 °®î¿°í 2026-03-29 6/300 2026-03-29 12:00 by Î޼ʵIJÝÔ­
[¿¼ÑÐ] 298Çóµ÷¼Á +4 ÖÖÊ¥´Í 2026-03-28 4/200 2026-03-29 08:42 by q1092522407
[¿¼ÑÐ] 315Çóµ÷¼Á +4 akie... 2026-03-28 5/250 2026-03-28 21:05 by zhq0425
[¿¼ÑÐ] 311£¨085601£©Çóµ÷¼Á +4 liziyeyeye 2026-03-28 4/200 2026-03-28 18:50 by 535743368
[¿¼ÑÐ] 308Çóµ÷¼Á +7 īīĮ 2026-03-27 7/350 2026-03-28 07:43 by ÈÈÇéɳĮ
[¿¼ÑÐ] 328Çóµ÷¼Á +7 àŵεĻù±¾¶¼ 2026-03-27 7/350 2026-03-28 04:19 by fmesaito
[¿¼ÑÐ] Çóµ÷¼ÁÍÆ¼ö ²ÄÁÏ 304 +15 ºÉ°üµ°hyj 2026-03-26 15/750 2026-03-28 04:13 by fmesaito
[¿¼ÑÐ] 330Ò»Ö¾Ô¸Öйúº£Ñó´óѧ »¯Ñ§¹¤³Ì 085602 ÓжÁ²©ÒâÔ¸ Çóµ÷¼Á +3 wywy.. 2026-03-27 4/200 2026-03-28 03:32 by fmesaito
[¿¼ÑÐ] Ò»Ö¾Ô¸ÄÏʦ´ó0703»¯Ñ§ 275Çóµ÷¼Á +4 RipcordÉϰ¶ 2026-03-27 4/200 2026-03-27 17:00 by zhyzzh
[¿¼²©] 26É격 +3 ¼ÓÓͳ尡£¡ 2026-03-26 3/150 2026-03-27 15:38 by cls512
[¿¼ÑÐ] Çóµ÷¼Á323²ÄÁÏÓ뻯¹¤ +7 1124361 2026-03-24 7/350 2026-03-27 10:22 by wangjy2002
[¿¼ÑÐ] Çóµ÷¼Á£¬Ò»Ö¾Ô¸ ÄϾ©º½¿Õº½Ìì´óѧ´óѧ £¬080500²ÄÁÏ¿ÆÑ§Ó빤³Ìѧ˶ +4 @taotao 2026-03-26 5/250 2026-03-27 08:10 by hypershenger
[¿¼ÑÐ] ²ÄÁÏר˶ÕÒµ÷¼Á +5 ¹þ¹þ¹þºðºðºð¹þ 2026-03-23 5/250 2026-03-24 19:07 by ÁËÁËÁËÁË¡£¡£
[¿¼ÑÐ] 292Çóµ÷¼Á +4 ¶ì¶ì¶ì¶î¶î¶î¶î¶ 2026-03-24 4/200 2026-03-24 16:41 by peike
[¿¼ÑÐ] ²ÄÁÏ/ũҵרҵ£¬07/08¿ªÍ·¾ù¿É£¬¹ýÏß¾ÍÐÐ +3 ºÇßíŶ»í 2026-03-23 4/200 2026-03-23 22:30 by Íô£¡£¿£¡
ÐÅÏ¢Ìáʾ
ÇëÌî´¦ÀíÒâ¼û