关于¶Ô½ÇÓÅÊƾØÕó介绍

[Æ´Òô]£ºduijiao youshi juzhen

[ÍâÎÄ]£ºdiagonally dominant matrix

Ò»¸ön¡Án½×¾ØÕóA£½(α_ij)£¬Èç¹ûÆäÿһÐеķǶԽÇÔªµÄÄ£Ö®ºÍ¶¼Ð¡ÓÚÕâÒ»ÐеĶԽÇÔªµÄÄ££¬¼´

£¬

¾Í³ÆAÊÇÑϸñ¶Ô½ÇÓÅÊÆ»òÇ¿¶Ô½ÇÓÅÊƵģ»ÈôA½öÂú×ã

£¬

µ«ÖÁÉÙÓÐÒ»¸öϱêi =i₀ʹ

³ÉÁ¢£¬¾Í³ÆAÊÇÈõ¶Ô½ÇÓÅÊƵġ£ÕâÀà¾ØÕóÓÐ׏㷺µÄʵ¼Ê±³¾°£¬ÈçºÜ¶à΢·Ö·½³Ì±ßÖµÎÊÌâµÄÀëÉ¢»¯·½³ÌµÄϵÊý¾ØÕóÍùÍù¾ßÓÐÉÏÃæµÄÐÔÖÊ£¬Òò´Ë¶ÔÕâÀà¾ØÕóµÄÑо¿ÊÇÊ®·ÖÖØÒªµÄ¡£ÕâÀà¾ØÕó»¹ÓÐһЩÖØÒªÐÔÖÊ£¬ÀýÈ磬Èô¾ØÕóAÊÇÑϸñ¶Ô½ÇÓÅÊÆ»ò²»¿ÉÔ¼Èõ¶Ô½ÇÓÅÊƵģ¬Ôò AÊÇ·ÇÆæÒìµÄ£»ÈôA»¹ÊÇ°£¶ûÃ×ÌؾØÕó£¬ÇÒ¶Ô½ÇÔª½ÔΪÕýÊý£¬ÔòAÊÇÕý¶¨µÄ¡£ÓÖÈçÓÃÖ±½Ó·¨»òµü´ú·¨½âϵÊý¾ØÕóΪ¶Ô½ÇÓÅÊƾØÕóµÄÏßÐÔ´úÊý·½³Ì×éʱ£¬¿ÉÒÔ±£Ö¤Ëã·¨µÄÎȶ¨ÐÔ»òÊÕÁ²ÐÔ¡£

²Î¿¼ÊéÄ¿

1. R.S.Í߸ñÖø£¬½¯¶ûÐÛµÈÒ룺¡¶¾ØÕóµü´ú·ÖÎö¡·£¬ÉϺ£¿Æѧ¼¼Êõ³ö°æÉ磬ÉϺ££¬1966¡£(R.S.Varga£¬Matrix Iterative Analysis£¬Prentice-Hall£¬ Englewood Cliffs£¬ New Jersey£¬ 1962.)
2. D.M.Young£¬Iterative Solution of large Linear Systems£¬ Academic Press£¬ New York£¬ 1971.