北航数值分析大作业一

1、北航数值分析大作业一数值分析B大作业一SY1103120朱舜杰-.算法设计方案：1 .矩阵A的存储与检索将带状线性矩阵A501501转存为一个矩阵MatrixC5501,由于C语言中数组角标都是从0开始的，所以在数组MatrixC5501中检索A的带内元素劭的方法是：A的带内元素aij=C中的元素Ci.j+2j2 .求解入1,入501,入s首先分别使用哥法和反塞法迭代求出矩阵按摸最大和最小的特征值入max和入min。入min即为人s；如果入max>0,则入501=入max；如果入maxVO,则X1=XmaXomax,求使用带原点平移的幕法(mifa()函数)，令平移量p=x出对应的按摸最

2、大的特征值入“max,如果入max>0,贝！J入1=入max+p；如果入max0,则入501=入max+po3 .求解A的与数Uk=、i+k(入5oi入i)/40的最接近的特征值入ik(k=l,2,，39)o使用带原点平移的反塞法，令平移量p=Uk,即可求出与Pk最接近的特征值人iko4 .求解A的(谱范数)条件数8nd(A)2和行列式detA。COIld(A)2=|入1/人n|,其中入1和入n分别是矩阵A的模最大和最小特征值。矩阵A的行列式可先对矩阵A进行LU分解后，detA等于U所有对角线上元素的乘积。源程序#include<stdio.h>#include<ios

3、tream.h>#include<stdlib.h>#include<math.h>#include<float.h>#include<iomanip.h>#include<time.h>#defineE1.0e-12/*定义全局变量相对误差限*/intmax2(inta,intb)/*if(a>b)returna;elsereturnb;intmin2(inta,intb)/*if(a>b)returnb;elsereturna;intmax3(inta,intb,intc)/*intt;if(a>b)t=a

4、;elset=b;if(t<c)t=c;求两个整型数最大值的子程序求两个整型数最小值的子程序求三整型数最大值的子程序*/*/*/return(t);/*将矩阵A转存为数组voidassignment(doublearray5501)C5501*/inti,j,k；/所有元素归零for(i=0;i<=4;)for(j=0;j<=500;)arrayij=0;j+；i+；/第0,4行赋值for(j=2;j<=500;)k=500-j;array0j=-0.064;array4k=-0.064;j+；第1,3行赋值for(j=1;j<=500;)k=500-j;arra

5、y1j=0.16;array3k=0.16;j+；第2行赋值for(j=0;j<=500;)k=j；j+；array2k=(1.64-0.024*j)*sin(double)(0.2*j)-0.64*exp(double)(0.1/j)；带原点平doublemifa(doubleu501,doublearray5501,doublep)/*移的幕法*/inti,j;/*u501为初始迭代向量*/为矩阵A的转存矩阵*/ 为平移量*/doublea,b,c=0;/*array5501doubley501;/*p选用第一种迭代格式*/for(；)a=0;b=0;/*/求qk-1for(i=0;

6、i<=500;i+)a=a+ui*ui;a=sqrt(a);/求yk-ifor(i=0;i<=500;i+)yi=ui/a;/求Ukfor(i=0;i<=500;i+)ui=0；for(j=max2(i-2,0);j<=min2(i+2,500);j+)ui+=arrayi-j+2j*yj;引入平移量*/ui=ui-P*yi；/*/求Bkfor(i=0;i<=500;i+)b+=yi*ui；达到精度水平，迭代终止*/if(fabs(b-c)/b)<=E)/*break;c=b;直接返回A的特征值*/return(b+p);/*用随机数为初始迭代向量赋void

7、chuzhi(doublea口)/*值*/inti;srand(int)time(0);for(i=0;i<=500;i+)ai=(10.0*rand()/RAND_MAX);/*生成010的随机数*/voidchuzhi2(doublea,intj)inti;for(i=0;i<=500;i+)ai=0;aj=1;/*令初始迭代向量为e*/voidLU(doublearray5501)/*对矩阵A进行DooHttle分解*/intj,k,t;半部*/*/*分解结果L矩阵A转存在C5501中*/U分别存在C5501的上半部与下for(k=0;k<=500;k+)for(j=k

8、;j<=min2(k+2),500);j+)for(t=max3(0,k-2,j-2);t<=(k-1);t+)arrayk-j+2j-=arrayk-t+2t*arrayt-j+2j;if(k<500)for(j=k+1;j<=min2(k+2),500);j+)for(t=max3(0,k-2,j-2);t<=(k-1);t+)arrayj-k+2k-=arrayj-t+2t*arrayt-k+2k;arrayj-k+2k=arrayj-k+2k/array2k;带原点平移的反幕法doublefmifa(doubleu501,doublearray5501,d

9、oublep)/*/inti,j；doublea,b,c=0;doubley501;/引入平移量for(i=0;i<=500;i+)array2i-=p;/先将矩阵Doolittle分解LU(array);for(；)a=0;b=0;/求qk-1for(i=0;i<=500;i+)a=a+ui*ui;a=sqrt(a);/求yk-1for(i=0;i<=500;i+)yi=ui/a;/回带过程，求解ukfor(i=0;i<=500;i+)ui=yi;for(i=1;i<=500;i+)for(j=max2(0,(i-2);j<=(i-1);j+)ui-=ar

10、rayi-j+2j*uj;u500=u500/array2500;for(i=499;i>=0;i-)for(j=i+1;j<=min2(i+2),500);j+)ui-=arrayi-j+2j*uj;ui=ui/array2i;/求Bkfor(i=0;i<=500;i+)b+=yi*ui；if(fabs(b-c)/b)<=E)/*达到精度要求，迭代终止*/break;c=b;return(p+(1/b);/*直接返回距离原点P最接近的A的特征值*/主函数main()inti;doubled1,d501,ds,d,a;doubleu501;doubleMatrixC55

11、01;printf("数值分析计算实习题目第一题n");printf("SY1103120朱舜杰n");/将矩阵A转存为MatrixCassignment(MatrixC);/用带原点平移的幕法求解入入501chuzhi(u);d=mifa(u,MatrixC,0);chuzhi(u);a=mifa(u,MatrixC,d);if(d<0)d1=d;d501=a;elsed501=d;d1=a;printf("入1=%.12en",d1);printf("入501=%.12en",d501);/用反幕法求入s

12、chuzhi(u);ds=fmifa(u,MatrixC,0);printf("入s=%.12en",ds);用带原点平移的反幕法求入ikfor(i=1;i<=39;i+)a=d1+(i*(d501-d1)/40;assignment(MatrixC);chuzhi(u);d=fmifa(u,MatrixC,a);printf("与p%02d=%+.12e最接近的特征值入i%02d=%+.12en",i,a,i,d);/求A的条件数d=fabs(d1/ds);printf("A的(谱范数)条件数cond<A>2=%.12en&

13、quot;,d);/求detAassignment(MatrixC);LU(MatrixC);a=1;for(i=0;i<=500;i+)a*=MatrixC2i;printf("行列式detA=%.12en",a);测试不同迭代初始向量对入1计算结果的影响。printf("改变迭代初始向量对入max#算结果的测试如下：n");assignment(MatrixC);for(i=0;i<=500;i+)chuzhi2(u,i);d1=mifa(u,MatrixC,0);printf("u%03d,入max=%+e",i,d

14、1);if(i+1)%3)=0)printf("n");printf("Pressanykeytocontinuen");getchar();三.程序结果：£7110312061516407225Se+a0B与 |J 02 =-9.67887622 732 6c+000 与03 -9.168 25753648 3c+800四.分析初始向量选择对计算结果的影响矩阵的初始向量选择，对结果的影响很大，选择不同的初始向量可能会得到 的特征值。以幕法为例（反幕法原理相同），选取初始迭代向量u=e（i=0,1 , 500）;即 uj=0,j wi ; uj

15、=1,j=i。测试结果如下：JI 附=-6 -1045 45 3 79 414g +&&&086591091796e+09a28=+3.597209 78 4&41e征值X131M . 12292428289«ft+000X心2=4.二949丽34&酬3ta幽与 P19-9 . 与 |J 204与11 i =-5 .与112=-4.与 pl21=+2 与 口 2 2+58773 97581192 e-091与1 iF=3.与 W1UT .0833079?3724e+a005726 M 3879日也腼0498332223446+300539214

16、529499&+»0094411G 32 »41& 4-90055473J；ai3261e+a00与酷=-8S |1 &6 ?与1 23=+1.与1 2 4=+1 .,287893472580e-082-334976275 708e-091.u j r u u u u/g uu u,1470201507?4匕 +&&&一636E1"7q49 一殖FlLJ. -7 1A lai=-l.01S2 ?3 433315 e +331A i0Z =-7.5857074Z50&Be t000X i03-?.1726724

17、23928e + 000X 104=-8.6522340078f8009X i05=-8.0?3483838S?5e+030 % i06=7.&5740540?&7Zet000X i07-?.ll?6846486?le + 000X iB8 -6117&43393?7e +000X i09=-&.a&&103226575+000X il0-5.58510105Z6Z8&t000X ill=-5-114083529812+000X il2=-4.57887217&8&5e+0MX il3=-4,X il4="3.5

18、54211215751&+000X iis=-3.041090at«133&+a00X ilfi=-2-533970311130e+0MX il7=-2,a032307&？5t3e+000X il8="1.503557611227&+000X il9=-9.?35S8&at0075ft-001X i20=-4.幽二M-SWH入 121=+2.23172S24?575e-002X i22=+5.3241747420S9f 001X i23=+i-0528?89t2&92fe+300X i24=+l.E8944J；ttftl881

19、&+aMH 125=+2.9&33304&9274?+099X i2&=+2.6580755?7073e+000X i27»+3.080240S09307&+900X i29=+4,a9137S5ia451?+009X i30=+4.&03035378279e+0001 153=+&.080933857027？+030X £34-+6.&8»354092112«+1100X 135-+7.293«77448127&+000X 136=+7.717111714256e+000

20、 入137=+82252我阻405%+。前 Xi3&=+5,64&&fr6a&51f 3+000写 |118=5.5?3926696567e+000与J113 =-4. 06 2 0706 08 03 4e +&&& 与 |114=3.5514519151»90*«00A 1 1,07B0113 615 02 e *001A 501-?.72463409878+008As-5.5579107? 4227e-003ha I I nbui c n n m n ji n n nt j ru d rrj 4l-2 CT- .4

21、-1 7T.3正 if39工+9.2£4毗54鹃935/00。最接近的特征值113M+" （谱范数）条件数匚ona<A>2=i .?252 042?5?05ea03与 pll7=-2.019595836654e +330 与 口18 .598 977143809e +000与J125=+2.0G53537061Me +900 与 注26-+2.575972398951e+000与JI 2 9 =+4 . 1078 2 8 47748 5 e +900 与 |J 3 0=+4. 618 4471703 3 Be +000 与 4 31=+5i2?0t58t3it+

22、a00 与132=+!；.£39t84S5 602fle+00» 与JI 33 =+6.15530324B865e+990 与 |1 34-+6 .6£0921941710&+000 与 435=+?-i71540634S5St+a00 与136=+7. 6821593274906+090 与 P 3 7=+3.192 778 02 9245e +009|J 3 B =+8.703 3 ? 6 713 09 fle +00 0改变迭代初始向量时入max计算结果的测试如下：u002-Xnax=-2.080981e*000U000,Xnax=-2.080981

23、©*000u001nax=-2.080981e*000u003,Xnax=-2.080981e*000U006-Xnaxw-2.08098le*000U009-Xnax»-2.080981e*000u012,Xnax-2.080981e*000u015,Xnax=-2.080981e+000U018/Anax=-2.080981e+000U021.Xnax=-2.080981e+000u004.Xnax=-2.080981e*000U007,Xnax0-2.080981e*000u010Xnaxa-2.080981e*000u013,Xnax-2.080981e*000u0

24、16,Xnax=-2.080981e*000u019,Anax=-2.080981e+000u022-Xnax=-2.080981e+000u005-Xmax=-2.080981e*000u008-Xnaxa-2.080981e*000u011,Xnaxa-2.080981e*000U014,Xnax=-2.080981e*000u01?Xnax=-2.080981e+000u020,Anax=-2.080981e*000U023,Xnax=-2.080981e+000u024,Xnax=-2.080981e+000u027,Xnax=-2.080981e+000u030,Xnax=-2.08

25、0981e*000u033-Xnaxs-2.080981e*000u036/Xnax-2.080981e*000U039,Xnax«-2.080981e*000u042,Xnaxa-2.080981e*000u045,Anax=-2.080981e+000u025,Xnax=-2.080981e+000u028.Xnax=-2.080981e+000u031.Xnax=-2.080981e*000u034-Xnax=-2.080981e*000U03?,Xnax-2.080981e*000u040,入nax=-2.080981e*000u043,Xnaxs-2.080981e*000

26、u046Anax=-2.080981e*000u026-Xnax=-2.080981e+000u029fXnax=-2.080981e+000u032,Xnax=-2.080981e*000U035-XnaxB-2.080981e*000U038-Xnax-2.080981e*000u041.Xnax«-2.080981e*000U044,Xnaxa-2.080981e*000u047,入max=-2.080981e+000u048Xnax=-2.080981e+000u051Xnax=-2.080981e*000u054，Xnax=-2.080981e+000u057.Xnax=-

27、2.080981e*000u060.Xnax=-2.080981e*000uS63,Xnax="l.07001le*001u066-Xnaxm-l.070011e-*001u069Xnaxa-l.070011e*001u072,Xnax-l.070011e*001u049Xnax=-2.080981e*000“052,Xnax=-2.080981e+000u055.Xnax=-2.080981e*000u058.Xnax=-2.080981e*000u061.Xnax=-2.080981e*000u064Xmax=-1.0?0011e*001u067,Xnax»-l.0?0

28、011e*001u070Xnax=-l.0?0011e*001u073-Xnax=-l.0?0011e*001u050,Xnax=-2.080981e+000u053,Xnax=-2.080981e+000u056，Xnax=-2.080981e+000u059-Xnax=-2.080981e+000u062-Xnax=-2.080981e*000uS65-Xnax=-l.070011e*001u068.XnaxB-l.070011e*001u071-Xnaxa-l.070011e*001u074,Xnax=-l.070011c*001“075/Xnax=-l.070011e+001u0?6,

29、Xnax=-l.0?0011e*001u077-Xnax=-l.070011e+001u078-Xnax=-l-070011e+001u079,Xnax=-l.070011e*001u080,Xnax=-l.070011e+001u081.Xnax=-l.07001le+001110H4.Xnax=-1.07A011e+0A1u087,Xnax=-l.07001le*001u090,Xnax=-l.070011e*001u093-Xnax»-l.070011©*001u096,Xnax-1.070011e*001u099,Xnax»-l.070011e*00111

30、102,入max=-l.07001ie，001ul05,Xnax=-l.0?0011e+001u082Xnax=-l.0?0011e+001iiASS.Xnax=-1.A70A11e+WAIu088,Xnax=-l.07001le+001u091.Xnax=-l.070011e*001u094-Xnaxa-l.070011e*001u09?,Xnax-1.070011e001ul00.Xnaxa-l.0?0011e*001ul03,Xnax=-l.0?0011e*001ul06,Xnax=-l.0?0011e+001083,Xnax=-l.070011e+001110H6.Xnax=-1.A7

31、AA11eU089，Xnax=-l.070011e+001u092-Xnax=-l.0?0011e*001u095-Xnaxa-l.0?0011e*001u098,Xnax-1.070011e*001ul01Xnaxa-l.070011e*001ul04,Xnax=-l.0?0011e*001ul0?,Xnax=-l.070011e*001u108,Xnax=-l.070011e*001ulllXnax-1.070011c*001ull4Xnax=-l.07001le+001Xnax=-l.070011©*001ul20/Xnax=-l.070011c*001ul23,Xnax-1.

32、07001le*001ul26,Xnax-1.070011e*001”129pXnax=-1.0?0011e*001U109,Xnax=-l.0700116*001ul12Xnax-1.070011c*001u115,Xnax=-l.070011e*001ull8.Xnax=-l.070011e*001ul21,Xnax=-l.070011e*001ul24,Xmax-1.070011e*001ul2?,Xnax-1.070011e*001ul30.Xnax-l.0?0011e*001U110,Xnax=-l.070011e*001ull3,Xnax1.070011c*001ull.6-Xna

33、x=-l.07001le+001ull9-Xnax=-l.07001le+001ul22-Xnax=-l.070011e*001ul25,Xnax=-l.070011e*001ul28,Xmaxa-l.07001le*001ul31.Xnax3-1.070011eul32,Anax=-2.549325e*000ul35,Xnax=-l.0?001le*001ul38,Xnax=-3.280068e*000ul41,Xnax=-3.280068e*000ul44,Xnax=-3.280068e*000ul47,Xnax=-3.280068e*000ul50-Xnax®-3.280068

34、e*000ul534入max=-3.280068e，000H156,Xnaxa-3.280068e*000ul59,入max=-3.280068e，000ul62入max=-3.280068e+000ul65Xnax=-3.280068e*000li168,Xnax=-l.070011e*001Xnax=-4.015220e*000ul74-Xnax=-4.015220e*000ul77-Xnax=-4.015220e*000nl80-Xnax-4.015220e00011183,.Xnaxa-4.015220e*00011186,Xnax=s-4.015220e*000Xnax=-4.015

35、220e*000u192,Xnax=-4.015220e*000ul95,Xnax=-4.015220e*0001198,Xnax=-4.015220e*000u201，Xnax=-4.753113e*000u204-Xnax=-4.753113e*00011207Xnaxa-4.753113e*00011210,.Xnax=«-4.753113e*000u2134Xnax=-4.753113e*000u216,Xnax=-4.753113e*000u219Xnax=-4.753113e*000u222rnax=-4.753113e+000u225,Xnax=-4.753113e*0

36、00u228/Xnax=-4.753113e*0001|231.Xnax=-4.753113e*000u234/Xnaxa-5.492914e*000n237,Xnax-5.492914e*000u240,Xnax=«-5.492914e*000li243,Xnax=-5.492914e*000u246Xnax=-5-492914e*000u249,Xnax=-5.492914e*000u252,Xnax=-5.492914e*000u255,Xnax=-5.492914e*00038,Xnax=-5.492914e*00011261-Xnax=-5.492914e*000(1264

37、-Xnaxa-5.492914e*000ul33,Amax=-2.549325e*000ul36,Xmax=-l.070011e+001ul39.Xnax=-3.280068e+000ul42.Xnax=-3.280068e+000u145Xnax=-3.280068e*000ul48-Xnax=-3.280068e*000ul51,Xnax»-3.280068e*000ul540入max,-3.280068e+000入max,-3.280068e，000itl60,Xnax=-3.280068e*000ul63,Xmax=-3.280068e+000ul66,Xnax=-3.280

38、068e+000ul69,max=-4.015220e+000ul72-Xnax=-4.015220e+000ul75-Xnax=-4.015220e*000u178Xnax=-4.015220©*000ul81Xmax-4.015220e*000itl84。Xnax=-4.015220e*000ul87,Xnax=-4.015220e*000itl90,Xmax=-4.015220e*000ul93,Xmax=-4.015220e+000ul96,Xnax=-4.015220e+000ul99-Xmax=-4.015220e+000u202-Xnax=-4.753113e*000“

39、205-Xnax=-4.753113e*000“208,入max-4.753113e+000u211,入max=-4.753113e+000u214,Xmax=-4.?53113e*000it217,Xnax=-4.?53113e*000u220Xnax=-4.753113e+000u223,Xnax=-4.753113e+000u226,Xnax=-4.753113e+000u229-Xnax=-4.753113e+000u232-Xnax=-4.753113e*000“235,Xnax=-5.492914e*000u238q入max-5.49291.4©+00。u241,Xmax

40、-5.492914e*000u244Xnax=-5.492914e*000u247.Xmax=-5.492914e*000u250,Xnax=-5.492914e+000u253-Xmax=-5.492914e+000u256-Xnax=-5.492914e+000i(259,Xnax=-5.492914e*000u262Xnax=-5.492914e*000“265,入max,-5.492914e，000ul34,入max=T.07001Ie+001.ul37Xnax=-3.280068e*000ui40,Xnax=-3.280068e+000ul43,Xnax=-3.280068e+000

41、ul46>Xnax=-3.280068e*000ul49.Xmax=-3.280068e*000ul52>Xnax»-3.280068e*000ul55,Xnax«-3.280068e*000ul58,入max,-3.280068e/000ul61,入max=-3.280068e，000u：164,Xnax=-3.280068e*000(1167,Xnax=-3.280068e+000ul70rnax=-4.015220e+000ul73Xnax=-4.015220e+000ul76Xnax=-4.015220e*000ul79Xnax=s-4.015220e*

42、000ul82/Xnax-4.015220e*000iil85Xnax«-4.015220e*000tii88,入max=-4.015220e，000ui91,入max=-4.015220e4000ul94Xnax=-4.015220e+000Xnax=-4.015220e+000u200Xnax=-4.015220e+000u203Xnax=-4.753113e*000u206XRax=-4.753113e*000u209>Xnax«-4.753113e*000u212,Xnax«-4.753113e*000u215,入max=-4.？53113e，000

43、u218,入nax=-4.?53113e，00011221.，Xnax=-4.753113e+000u224.Xnax=-4.753113e+000u227/Xnax=-4.753113e+000u230.XRax=-4.753113e*000u233.Xmax=-4.753113e*000u236>Xnax®-5.492914c*000u239.Xnax-5.492914e*000u242.入max=-5.492914e，000u245,入max=-5.492914e+000u248Xnax=-5-492914e*000(1251，Xnax=-5.492914e+000u25

44、4.Xnax=-5.492914e+000u257,Xnax=-5.492914©*000u260.Xnax=-5.492914©*000u263/iXnax=-5.492914e*000u266/Xnax«-6.234160e*000u267-Anax=-6.234160e>000u270iXmax=-6.234160e*000u273Xmax=-6.234160e*000u276-Xmax=-6.234160e*000u279-Xmaxs-6.234160e*000“282夕Xmaxs-6.234160e*000u285,XnaxM-6.234160e*

45、000u288-Xmax«-6.234160e*000u291-Xnax*-6.234160e*000u294-Xmaxs-6.234160e*000u297-Xnaxs-6.234160e*00011300。Xmax=-6.976585e*000(1303,Xmax=-6.976585e*000u306.Xmax=-6.976585e*000u309Xmax=-6.976585e*000ii312夕Xmax=-6.976585e*000u315-Xmax-6.976585c*000u318XmaxM-6.976585c*000u321.Xmax»-6.976585c*00

46、0u324,Xnax«-6.976585c*000u327-Xmax«-6.976585c*000u33。-Xnax*-7.719765c*000u333.Xmax«-?.719765e*000u336,Xnax=-7.719765e*000u339,Xnax=-7.719765e*000u342,Xmax=-7.719765e*000u345.Xmax=-7.719765e*00011348.Xnax=-7.719765e*000u351Xmax»-7.719765e*000u354-Xmax»-7.719765e*000u35乙Xmax-7

47、.719765e*000u360-Xmax-?.719765c*00011363.Xmaxs-8.464081e>000u366-Xmaxs-8.464081e*000ii369.Xmax="8.464081e*000u372,Xmax=-8.464081c*000u375-Xnax=-8.464081c*000u378-Xmax=-8.464081c*000u381Xmax=R.4fi4AR1eu384.Xmax=-8.464081e*000u38乙入max=-8.464081e,000n390.Xmax=-8.464081c*000u3934Xnaxw-9.208553e*

48、000u396-Xmax«-9.208553c*000u399-Xmax«-9.208553e*000u268>/'nax=-6.234160e*000u271,Xmax-6.234160e>000u274,Xmax=-6.234160e*000u277,入max=-6.234160e+000u280,max-G.234160e*000u283Xnax=-6.234160e*000u286.Xnax0-6.234160c>000u289,Xnax"-6.234160e*000u292"Xnax"-6.234160e&g

49、t;000u295，Xnaxs-6.234160e*000u298-Xnax=-6.976585e*000u301-Xnax=-6.976585©*000u304-Xnax=-6.976585e*000(1307.Xnax=-6.976585e*000u310,入max=-6.976585e，000u313,入max=-6.976585e+000u316入max-6.976585e*000“319"X.976585c*000u322-Xnax»-6.976585e*000u325.Xnax«-6.976585e>000u328-Xnax«

50、-6.976585e*000u331,Xnax-7.719765e*000u334-Xnax«-?.719765e*000u337,XWax=-7.719765c*000u340.Xmax=-7.719765©*000u343,XRax=-7.719765e>000u346,Xnax=-?.719765e*000u349-Xiwax-7.719765e*000u352-Xmaxc-7.719765e*000u355.Xnax»-7.719765e>000u358.Xnax-?.719765e*000u361,Xnax-7.719765e>000u

51、364-Xmaxs-8.464081e*000u367,入eax=-8.464081e00011370.Xnax=-8.464081e>000u373,Xnax=-8.464081e*000u376/Xnax=-8.464081e*000u379,Xnax=-8.464081e*000u382，Xnax=-R.4fi4ARleAAAu385,入eax=-8464®81ef。u388,入max=-8.464081e，00011391-nax»-8.464081e*000u394-Xnax0-9.208553e*000u397Xnax«-9.208553e>

52、;00011400.Xnax«-9.208553e>000u269，Amax=-6.234160e*000u272-Xnax=-6.234160e*000u275,Xmax=-6.234160e*00011278.Xnax=-6.234160e*000u281.-XnaxSM6.234160e*000u284>Xnaxs-6.234160e*000u287Xnaxs-6.234160e*000u290.X.234160e*000u293/Xmaxa-6.234160e*000u296/Xmax8-6.234160e>000u299,Xmax-6.976585e*00

53、0u302.Xnax-G.976585e*000u305/Xnax=-6.976585e*000u308.Xnax=-6.976585e*000u31LXmax=-6.976585e*000u314.Xmax-6.976585e*000u317入max-6.976585匕u320Xnax«-6.976585e*000u323-Xnaxw-6.976585c*000“326.Xnax«-6.976585e*000u329.Xmax«-6.976585c*00011332-Xnax-7.719765e>000u335,Xnax«"?.7197

54、65e*000u338,Xrax=-7.719765c*000u341,Xnax=-7.719765c*00011344-X«ax=-7.719765e>000u347,XWax=-7.719765e*000u350.X»ax=-7.719765e*000u353,X»ax«-7.719765e*000“356.Xmax-7.719765e*000u359.Xmax-?.719765e*000u362.Xnax"-8.464081e*000u365-Xnaxs-8.464081e*000u368，Xmaxs-8.464081e*00011

55、371-Xnaxs-8.464081e*000u374,Xnax-8.46408le>000u37%Xmax-8.464081e*000u380.Xmax=-8.464081e*000u383,Xmax=-8.464ARleu386-Xnaxs-8.464081e*000u389Xnax»-8.464081e*000口392.Xnax«-8.464081e*000u395/Xnax«-9.208553c*000u398,Xnax«-9.208553e*000u401Xnax«-9.208553c>000u402,入nax=9855m

56、Bu4fl3,maM=-9.208553e+00liu404,max=-9.288553e+00fiti405,Xmax=-9u406,max=-9.20S553e+00Wu437,Xrtax=-9.208553e+000li4B8入n0x=-¥u409,nax=-9.208553c+00Wu410rAmax=-?,208553e+000L14111max7.208553c*000u412,inax?.208553c100F)u13Xnd大?.2S8553e400Su414,Xnax=-9.208553e*000u41S,X,nx=-9.208553e+000u41Eamax=-t2

57、08553e*000u417.>208553c*000u418<isx=9420B553e+B00Xmax-9.20855%+目灯。u420,Xnax=-?.208553e+000u121,nax=-9*208553e*000u422,A.288553e+000ii423.A，nax-?4208553e+fl00u4£4.A,nax-9.208553e+000u425,Kpi*x="?4?53979e+000u42G,Xnax9.?53979e>000u427j.Xmax1-9.95397?e*000u42B>Amax1-9.953979e-*000u429,Xmax=-9.?53979e*000u430>Xiriax=-9.953979e*000u431,Xnax=-?.953979