昆工數(shù)值分析上機作業(yè)(完整版)實用資料

昆工數(shù)值分析上機作業(yè)（完整版）實用資料(可以直接使用，可編輯完整版實用資料，歡迎下載）

國土資源工程學(xué)院測繪工程昆工數(shù)值分析上機作業(yè)（完整版）實用資料(可以直接使用，可編輯完整版實用資料，歡迎下載）課題一迭代格式的比較要求:編制一個程序進行運算，最后打印出每種迭代格式的斂散情況；=1\*GB3①、建立迭代程序的M文件：function[k,pc,xk]=diedail(x0,k)x(1)=x0fori=1:kx(i+1)=funl(x(i));pc=abs(x(i+1)-x(i));%偏差i=i+1;xk=x(i);%第k次迭代的結(jié)果[(i-1)pcxk]endp=[(i-1)pcxk];%輸出迭代次數(shù)、偏差、第k次迭代的結(jié)果=2\*GB3②、對于不同的迭代式子建立不同的funl.m文件建立迭代式子（1）的M文件：functiony1=funl(x)y1=(3*x+1)/x^2;在matlab命令窗口中運行以下命令>>[k,pc,xk]=diedail(0.7,10)%初值是0.7，迭代10次x=0.7000x=0.70006.3265ans=1.00005.62656.3265x=0.70006.32650.4992ans=2.00005.82740.4992x=0.70006.32650.499210.0231ans=3.00009.523910.0231x=0.70006.32650.499210.02310.3093ans=4.00009.71380.3093x=0.70006.32650.499210.02310.309320.1559ans=5.000019.846620.1559x=0.70006.32650.499210.02310.309320.15590.1513ans=6.000020.00460.1513x=0.70006.32650.499210.02310.309320.15590.151363.5112ans=7.000063.359963.5112x=0.70006.32650.499210.02310.309320.15590.151363.51120.0475ans=8.000063.46380.0475x=0.70006.32650.499210.02310.309320.15590.151363.51120.0475506.6983ans=9.0000506.6508506.6983x=0.70006.32650.499210.02310.309320.15590.151363.51120.0475506.69830.0059ans=10.0000506.69240.0059k=10pc=506.6924xk=0.0059由以上結(jié)果可知迭代式（1）是發(fā)散的。（2）建立迭代式子（2）的M文件：functiony1=funl(x)y1=(x^3-1)/3;在matlab命令窗口中運行以下命令>>[k,pc,xk]=diedail(0.6,5)%初值0.6，迭代5次x=0.6000x=0.6000-0.2613ans=1.00000.8613-0.2613x=0.6000-0.2613-0.3393ans=2.00000.0779-0.3393x=0.6000-0.2613-0.3393-0.3464ans=3.00000.0071-0.3464x=0.6000-0.2613-0.3393-0.3464-0.3472ans=4.00000.0008-0.3472x=0.6000-0.2613-0.3393-0.3464-0.3472-0.3473ans=5.00000.0001-0.3473k=5pc=9.9907e-005xk=-0.3473由以上結(jié)果可知迭代式（2）是收斂的。（3）建立迭代式子（3）的M文件：functiony1=funl(x)y1=(3*x+1)^(1/3);在matlab命令窗口中運行以下命令：>>[k,pc,xk]=diedail(0.9,12)%初值0.9，迭代12次結(jié)果為x=0.6000x=0.6000-0.2613ans=1.00000.8613-0.2613x=0.6000-0.2613-0.3393ans=2.00000.0779-0.3393x=0.6000-0.2613-0.3393-0.3464ans=3.00000.0071-0.3464x=0.6000-0.2613-0.3393-0.3464-0.3472ans=4.00000.0008-0.3472x=0.6000-0.2613-0.3393-0.3464-0.3472-0.3473ans=5.00000.0001-0.3473k=5pc=9.9907e-005xk=-0.3473>>[k,pc,xk]=diedail(0.9,12)%初值0.9，迭代12次x=0.9000x=0.90001.5467ans=1.00000.64671.5467x=0.90001.54671.7800ans=2.00000.23341.7800x=0.90001.54671.78001.8508ans=3.00000.07081.8508x=0.90001.54671.78001.85081.8713ans=4.00000.41.8713x=0.90001.54671.78001.85081.87131.8771ans=5.00000.00581.8771x=0.90001.54671.78001.85081.87131.87711.8787ans=6.00000.00171.8787x=0.90001.54671.78001.85081.87131.87711.87871.8792ans=7.00000.00051.8792x=0.90001.54671.78001.85081.87131.87711.87871.87921.8793ans=8.00000.00011.8793x=0.90001.54671.78001.85081.87131.87711.87871.87921.87931.8794ans=9.00000.00001.8794x=0.90001.54671.78001.85081.87131.87711.87871.87921.87931.87941.8794ans=10.00000.00001.8794x=0.90001.54671.78001.85081.87131.87711.87871.87921.87931.87941.87941.8794ans=11.00000.00001.8794x=0.90001.54671.78001.85081.87131.87711.87871.87921.87931.87941.87941.87941.8794ans=12.00000.00001.8794k=12pc=8.5033e-007xk=1.8794由以上結(jié)果可知迭代式（3）是收斂的。（4）建立迭代式子（4）的M文件：functiony1=funl(x)y1=1/(x^2-3);在matlab命令窗口中運行以下命令：>>[k,pc,xk]=diedail(0.4,15)%初值0.4，迭代15次x=0.4000x=0.4000-0.3521ans=1.00000.7521-0.3521x=0.4000-0.3521-0.3477ans=2.00000.0044-0.3477x=0.4000-0.3521-0.3477-0.3473ans=3.00000.0004-0.3473x=0.4000-0.3521-0.3477-0.3473-0.3473ans=4.00000.0000-0.3473x=0.4000-0.3521-0.3477-0.3473-0.3473-0.3473ans=5.00000.0000-0.3473x=0.4000-0.3521-0.3477-0.3473-0.3473-0.3473-0.3473ans=6.00000.0000-0.3473x=0.4000-0.3521-0.3477-0.3473-0.3473-0.3473-0.3473-0.3473ans=7.00000.0000-0.3473x=0.4000-0.3521-0.3477-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473ans=8.00000.0000-0.3473x=0.4000-0.3521-0.3477-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473ans=9.00000.0000-0.3473x=0.4000-0.3521-0.3477-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473ans=10.00000.0000-0.3473x=0.4000-0.3521-0.3477-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473ans=11.00000.0000-0.3473x=0.4000-0.3521-0.3477-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473ans=12.00000.0000-0.3473x=0.4000-0.3521-0.3477-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473ans=13.00000.0000-0.3473x=0.4000-0.3521-0.3477-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473ans=14.00000.0000-0.3473x=0.4000-0.3521-0.3477-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473ans=15.00000.0000-0.3473k=15pc=5.5511e-017xk=-0.3473由以上結(jié)果可知迭代式（4）是收斂的。（5）建立迭代式子（5）的M文件：functiony1=funl(x)y1=(3+1/x)^(1/2);在matlab命令窗口中運行以下命令：>>[k,pc,xk]=diedail(0.6,22)%初值0.6，迭代22次x=0.6000x=0.60002.1602ans=1.00001.56022.1602x=0.60002.16021.8609ans=2.00000.29941.8609x=0.60002.16021.86091.8808ans=3.00000.01991.8808x=0.60002.16021.86091.88081.8793ans=4.00000.00151.8793x=0.60002.16021.86091.88081.87931.8794ans=5.00000.00011.8794x=0.60002.16021.86091.88081.87931.87941.8794ans=6.00000.00001.8794x=0.60002.16021.86091.88081.87931.87941.87941.8794ans=7.00000.00001.8794x=0.60002.16021.86091.88081.87931.87941.87941.87941.8794ans=8.00000.00001.8794x=0.60002.16021.86091.88081.87931.87941.87941.87941.87941.8794ans=9.00000.00001.8794x=0.60002.16021.86091.88081.87931.87941.87941.87941.87941.87941.8794ans=10.00000.00001.8794x=0.60002.16021.86091.88081.87931.87941.87941.87941.87941.87941.87941.8794ans=11.00000.00001.8794x=0.60002.16021.86091.88081.87931.87941.87941.87941.87941.87941.87941.87941.8794ans=12.00000.00001.8794x=0.60002.16021.86091.88081.87931.87941.87941.87941.87941.87941.87941.87941.87941.8794ans=13.00000.00001.8794x=0.60002.16021.86091.88081.87931.87941.87941.87941.87941.87941.87941.87941.87941.87941.8794ans=14.00000.00001.8794x=0.60002.16021.86091.88081.87931.87941.87941.87941.87941.87941.87941.87941.87941.87941.87941.8794ans=15.00000.00001.8794x=0.60002.16021.86091.88081.87931.87941.87941.87941.87941.87941.87941.87941.87941.87941.87941.87941.8794ans=16.00000.00001.8794x=0.60002.16021.86091.88081.87931.87941.87941.87941.87941.87941.87941.87941.87941.87941.87941.87941.87941.8794ans=17.00000.00001.8794x=Columns1through180.60002.16021.86091.88081.87931.87941.87941.87941.87941.87941.87941.87941.87941.87941.87941.87941.87941.8794Column191.8794ans=18.00000.00001.8794x=Columns1through180.60002.16021.86091.88081.87931.87941.87941.87941.87941.87941.87941.87941.87941.87941.87941.87941.87941.8794Columns19through201.87941.8794ans=19.00000.00001.8794x=Columns1through180.60002.16021.86091.88081.87931.87941.87941.87941.87941.87941.87941.87941.87941.87941.87941.87941.87941.8794Columns19through211.87941.87941.8794ans=20.00000.00001.8794x=Columns1through180.60002.16021.86091.88081.87931.87941.87941.87941.87941.87941.87941.87941.87941.87941.87941.87941.87941.8794Columns19through221.87941.87941.87941.8794ans=21.00000.00001.8794x=Columns1through180.60002.16021.86091.88081.87931.87941.87941.87941.87941.87941.87941.87941.87941.87941.87941.87941.87941.8794Columns19through231.87941.87941.87941.87941.8794ans=22.00000.00001.8794k=22pc=2.2204e-016xk=1.8794由以上結(jié)果可知迭代式（5）是收斂的。（6）建立迭代式子（6）的M文件：functiony1=funl(x)y1=x-(1/3)*((x^3-3*x-1)/(x^2-1));在matlab命令窗口中運行以下命令：>>[k,pc,xk]=diedail(0.5,50)%初值0.5，迭代50次x=0.5000x=0.5000-0.5556ans=1.00001.0556-0.5556x=0.5000-0.5556-0.3168ans=2.00000.2388-0.3168x=0.5000-0.5556-0.3168-0.3470ans=3.00000.0302-0.3470x=0.5000-0.5556-0.3168-0.3470-0.3473ans=4.00000.0003-0.3473x=0.5000-0.5556-0.3168-0.3470-0.3473-0.3473ans=5.00000.0000-0.3473x=0.5000-0.5556-0.3168-0.3470-0.3473-0.3473-0.3473ans=6.00000.0000-0.3473x=0.5000-0.5556-0.3168-0.3470-0.3473-0.3473-0.3473-0.3473ans=7.00000.0000-0.3473x=0.5000-0.5556-0.3168-0.3470-0.3473-0.3473-0.3473-0.3473-0.3473ans=8.00000.0000-0.3473x=0.5000-0.5556-0.3168-0.3470-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473ans=9.00000.0000-0.3473x=0.5000-0.5556-0.3168-0.3470-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473ans=10.00000.0000-0.3473x=0.5000-0.5556-0.3168-0.3470-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473ans=11.00000.0000-0.3473x=0.5000-0.5556-0.3168-0.3470-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473ans=12.00000.0000-0.3473x=0.5000-0.5556-0.3168-0.3470-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473ans=13.00000.0000-0.3473x=0.5000-0.5556-0.3168-0.3470-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473ans=14.00000.0000-0.3473x=0.5000-0.5556-0.3168-0.3470-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473ans=15.00000.0000-0.3473x=0.5000-0.5556-0.3168-0.3470-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473ans=16.00000.0000-0.3473x=0.5000-0.5556-0.3168-0.3470-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473ans=17.00000.0000-0.3473x=Columns1through180.5000-0.5556-0.3168-0.3470-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473Column19-0.3473ans=18.00000.0000-0.3473x=Columns1through180.5000-0.5556-0.3168-0.3470-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473Columns19through20-0.3473-0.3473ans=19.00000.0000-0.3473x=Columns1through180.5000-0.5556-0.3168-0.3470-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473Columns19through21-0.3473-0.3473-0.3473ans=20.00000.0000-0.3473x=Columns1through180.5000-0.5556-0.3168-0.3470-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473Columns19through22-0.3473-0.3473-0.3473-0.3473ans=21.00000.0000-0.3473x=Columns1through180.5000-0.5556-0.3168-0.3470-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473Columns19through23-0.3473-0.3473-0.3473-0.3473-0.3473ans=22.00000.0000-0.3473x=Columns1through180.5000-0.5556-0.3168-0.3470-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473Columns19through24-0.3473-0.3473-0.3473-0.3473-0.3473-0.3473ans=23.00000.0000-0.3473x=Columns1through180.5000-0.5556-0.3168-0.3470-0.3473-0.3473-0.3473-0.3473-0.3473-0.3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