第7章矩陣的特征值和特征向量(存儲(chǔ)版)
【正文】 系 University of Science and Technology of China DEPARTMENT OF MATHEMATICS 改進(jìn)－冪法的規(guī)范運(yùn)算 ????????????)1()1()1()()1(/ kkkkkxxyAyx則，易知： ? ???????????????1//)1()0()()0()()()(kkkkkkyxxyAxAyy ????)0()0()( / yAyAy kkk所以，有： 最大分量為 1 數(shù) 學(xué) 系 University of Science and Technology of China DEPARTMENT OF MATHEMATICS ?????????????????????????????????????????????????????????nknnkknknnkkkvavavavavavay1212211112122111)(????????????即 （ 1）若： n??? ??? ?21?????????????0 , 0 , 111111)(??vvvvyk數(shù) 學(xué) 系 University of Science and Technology of China DEPARTMENT OF MATHEMATICS ??? ?? )0()0(1)()1( / yAyAAyx kkkk?????????????????????????????????????????????????????????????nknnkknknnkkkvavavavavavax1212211111211221111)1(????????????????????????????????????????????????????????????????????????????nknnkknknnkkkvavavavavavax1212211111211221111)1(????????????數(shù) 學(xué) 系 University of Science and Technology of China DEPARTMENT OF MATHEMATICS ? ?? ? 11111111)1(????????????vavaxkkk01 ?? 時(shí)，有 )(1)1(1kkyvx?????01 ?? 時(shí)，有 )(1)1(1kkyvx??????)(ky收斂 ? ? ? ?)12()2( , ?kk yy分別收斂反號(hào)的兩個(gè)數(shù) 數(shù) 學(xué) 系 University of Science and Technology of China DEPARTMENT OF MATHEMATICS （ 2）若： 21321 , ?????? ?????? n? ? ?? ????????????????????????????????????????????nknnkknk
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