作業(yè)高網(wǎng)第四章

1、高網(wǎng)第四章作業(yè)4-8題亓俊健 電博8 2008310320 （另外幾題將書面提交）4-8 程序：function A=gw4_8clear all;L=load(L.mat,-ascii); D=load(D.mat,-ascii);U=load(U.mat,-ascii);M=load(M.mat,-ascii);N=load(N.mat,-ascii);a=load(a.mat,-ascii);m,n=size(D);y=0,0,0,0;z=0,0,0,0;% 以M中非零元素為初始點(diǎn)位進(jìn)行前代和除法運(yùn)算求umz=M;for i=1:n-1 if z(i)=0 for j=i+1:n if

2、L(j,i)=0 z(j)=z(j)-L(j,i)*z(i); end end endendif z(i)=0for i=1:ny(i)=z(i)/D(i,i);endendum=y;% 以N的轉(zhuǎn)置中非零元素為初始點(diǎn)位進(jìn)行前代和除法運(yùn)算求lnz=N;for i=1:n-1 if z(i)=0 for j=i+1:n if L(j,i)=0 z(j)=z(j)-L(j,i)*z(i); end end endendif z(i)=0for i=1:ny(i)=z(i)/D(i,i);endendln=y;% 求a波abo=a-ln*D*um;m1,n1=size(abo);% 對(duì)abo分解因子表

3、得到L1、D1、U1for p=1:n1 for j=p+1:n1 if abo(p,j)=0 abo(p,j)=abo(p,j)/abo(p,p); for i=p+1:n1 if abo(i,p)=0 abo(i,j)=abo(i,j)-abo(i,p)*abo(p,j); end end end endendU1=triu(abo);for i=1:n1 U1(i,i)=1;endD1=zeros(n1,n1);for i=1:n1 D1(i,i)=abo(i,i);endL1=tril(abo);for j=1:n1 for i=j:n1 L1(i,j)=L1(i,j)/abo(i,i

4、); endend% 得到最終的結(jié)果L波、D波、U波Ubo=U um;zeros(n1,n) U1;Lbo=L zeros(n,n1);ln L1;Dbo=D zeros(n,n1);zeros(n1,n) D1;fprintf(Lbo=n);disp(Lbo);fprintf(Dbo=n);disp(Dbo);fprintf(Ubo=n);disp(Ubo);當(dāng)M=N，都為1 1 0 0的轉(zhuǎn)置，a=1時(shí)，程序運(yùn)行的結(jié)果為：Lbo=1 0 00 0-0.5 1 00 00 -0.667 10 0-0.5 -0.333 -1 1 00.5 1 0.75038 1 1Dbo= 20 0 0 00 1.5 0 0 0001.3333 0 000 0 2 000 0 0-3.7508Ubo= 1-0.5 0