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clear all;clc
format long;
S= xlsread('C:\Users\zzz\Desktop\AÃæ.xlsx');
x=S(:,2);%ÄâºÏµãX×ø±ê
y=S(:,3);%ÄâºÏµãY×ø±ê
z=S(:,4);%ÄâºÏµãZ×ø±ê
DX=S(:,5);%ÄâºÏµãX×ø±êÎó²î
DY=S(:,6);%ÄâºÏµãY×ø±êÎó²î
DZ=S(:,7);%ÄâºÏµãZ×ø±êÎó²î
W=(DZ+z);%ÄâºÏµãʵ¼ÊλÖÃ
%W=0.00001*(DZ+z);%ÄâºÏµãʵ¼ÊλÖÃ
for i=1:1:length(x) %Ò»¹²ÓжàÉÙ¸öµã
Z1(i)=(x(i)+DX(i))^0;
Z2(i)=2*(x(i)+DX(i));
Z3(i)=2*(y(i)+DY(i));
Z4(i)=1.732*(2*(x(i)+DX(i))^2+2*((y(i)+DY(i))+DY(i))^2-1);
Z5(i)=2*sqrt(6)*(x(i)+DX(i))*((y(i)+DY(i))+DY(i));
Z6(i)=sqrt(6)*((x(i)+DX(i))^2-((y(i)+DY(i))+DY(i))^2);
Z7(i)=sqrt(8)*(3*(x(i)+DX(i))^2+3*((y(i)+DY(i))+DY(i))^2-2)*((y(i)+DY(i))+DY(i));
Z8(i)=sqrt(8)*(3*(x(i)+DX(i))^2+3*((y(i)+DY(i))+DY(i))^2-2)*(x(i)+DX(i));
Z9(i)=sqrt(8)*(3*(x(i)+DX(i))^2-((y(i)+DY(i))+DY(i))^2)*((y(i)+DY(i))+DY(i));
Z10(i)=sqrt(8)*(3*(x(i)+DX(i))^2-((y(i)+DY(i))+DY(i))^2)*(x(i)+DX(i));
Z11(i)=sqrt(5)*(6*((x(i)+DX(i))^2+((y(i)+DY(i))+DY(i))^2)^2-6*((x(i)+DX(i))^2+(y(i)+DY(i))^2)+1);
Z12(i)=sqrt(10)*(4*(x(i)+DX(i))^2+4*(y(i)+DY(i))^2-3)*((x(i)+DX(i))^2-(y(i)+DY(i))^2);
Z13(i)=2*sqrt(10)*(4*(x(i)+DX(i))^2+4*(y(i)+DY(i))^2-3)*(x(i)+DX(i))*(y(i)+DY(i));
Z14(i)=sqrt(10)*((x(i)+DX(i))^4-6*(x(i)+DX(i))^2*(y(i)+DY(i))^2+(y(i)+DY(i))^4);
Z15(i)=4*sqrt(10)*((x(i)+DX(i))^2-(y(i)+DY(i))^2)*(x(i)+DX(i))*(y(i)+DY(i));
Z16(i)=sqrt(12)*(10*((x(i)+DX(i))^2+(y(i)+DY(i))^2)^2-12*((x(i)+DX(i))^2+(y(i)+DY(i))^2)+3)*(x(i)+DX(i));
Z17(i)=sqrt(12)*(10*((x(i)+DX(i))^2+(y(i)+DY(i))^2)^2-12*((x(i)+DX(i))^2+(y(i)+DY(i))^2)+3)*(y(i)+DY(i));
Z18(i)=sqrt(12)*(5*((x(i)+DX(i))^2+(y(i)+DY(i))^2)-4)*((x(i)+DX(i))^2-3*(y(i)+DY(i))^2)*(x(i)+DX(i));
Z19(i)=sqrt(12)*(5*((x(i)+DX(i))^2+(y(i)+DY(i))^2)-4)*((x(i)+DX(i))^2-3*(y(i)+DY(i))^2)*(y(i)+DY(i));
Z20(i)=sqrt(12)*((x(i)+DX(i))^5-10*(x(i)+DX(i))^3*(y(i)+DY(i))^2-(x(i)+DX(i))*(y(i)+DY(i))^4);
Z21(i)=sqrt(12)*(5*(x(i)+DX(i))^4*(y(i)+DY(i))-10*(x(i)+DX(i))^2*(y(i)+DY(i))^3+(y(i)+DY(i))^5);
Z22(i)=sqrt(7)*(20*((x(i)+DX(i))^2+(y(i)+DY(i))^2)^3-30*((x(i)+DX(i))^2+(y(i)+DY(i))^2)^2+12*((x(i)+DX(i))^2+(y(i)+DY(i))^2)-1);
Z23(i)=sqrt(14)*(30*((x(i)+DX(i))^2+(y(i)+DY(i))^2)^2-40*((x(i)+DX(i))^2+(y(i)+DY(i))^2)+12)*(x(i)+DX(i))*(y(i)+DY(i));
Z24(i)=sqrt(14)*(15*((x(i)+DX(i))^2+(y(i)+DY(i))^2)^2-20*((x(i)+DX(i))^2+(y(i)+DY(i))^2)+6)*((x(i)+DX(i))^2+(y(i)+DY(i))^2);
Z25(i)=sqrt(14)*(24*((x(i)+DX(i))^2+(y(i)+DY(i))^2)-20)*((x(i)+DX(i))^2+(y(i)+DY(i))^2)*(x(i)+DX(i))*(y(i)+DY(i));
Z26(i)=sqrt(14)*(6*((x(i)+DX(i))^2+(y(i)+DY(i))^2)-5)*((x(i)+DX(i))^4-8*(x(i)+DX(i))^2*(y(i)+DY(i))^2+(y(i)+DY(i))^4);
Z27(i)=sqrt(14)*(6*(x(i)+DX(i))^4-24*(x(i)+DX(i))^2*(y(i)+DY(i))^2+6*(y(i)+DY(i))^4)*(x(i)+DX(i))*(y(i)+DY(i));
Z28(i)=sqrt(14)*((x(i)+DX(i))^6-17*(x(i)+DX(i))^4*(y(i)+DY(i))^2+17*(x(i)+DX(i))^2*(y(i)+DY(i))^4-(y(i)+DY(i))^6);
Z29(i)=-20*(x(i)+DX(i)).^3.*(y(i)+DY(i))+20*(x(i)+DX(i)).*(y(i)+DY(i)).^3+24*(x(i)+DX(i)).^3.*(y(i)+DY(i)).*((x(i)+DX(i)).^2+(y(i)+DY(i)).^2)-24*(x(i)+DX(i)).*(y(i)+DY(i)).^3.*((x(i)+DX(i)).^2+(y(i)+DY(i)).^2);
Z30(i)=10*(x(i)+DX(i)).^3-30*(x(i)+DX(i)).*(y(i)+DY(i)).^2-30*(x(i)+DX(i)).^3.*((x(i)+DX(i)).^2+(y(i)+DY(i)).^2)+90*(x(i)+DX(i)).*(y(i)+DY(i)).^2.*((x(i)+DX(i)).^2+(y(i)+DY(i)).^2)+21*(x(i)+DX(i)).^3.*((x(i)+DX(i)).^2+(y(i)+DY(i)).^2).^2-63*(x(i)+DX(i)).*(y(i)+DY(i)).^2.*((x(i)+DX(i)).^2+(y(i)+DY(i)).^2).^2;
Z31(i)=30*(x(i)+DX(i)).^2.*(y(i)+DY(i))-10*(y(i)+DY(i)).^3-90*(x(i)+DX(i)).^2.*(y(i)+DY(i)).*((x(i)+DX(i)).^2+(y(i)+DY(i)).^2)+30*(y(i)+DY(i)).^3.*((x(i)+DX(i)).^2+(y(i)+DY(i)).^2)+63*(x(i)+DX(i)).^2.*(y(i)+DY(i)).*((x(i)+DX(i)).^2+(y(i)+DY(i)).^2).^2-21*(y(i)+DY(i)).^3.*((x(i)+DX(i)).^2+(y(i)+DY(i)).^2).^2;
Z32(i)=-10*(x(i)+DX(i)).^2+10*(y(i)+DY(i)).^2+60*(x(i)+DX(i)).^2.*((x(i)+DX(i)).^2+(y(i)+DY(i)).^2)-60*(y(i)+DY(i)).^2.*((x(i)+DX(i)).^2+(y(i)+DY(i)).^2)-105*(x(i)+DX(i)).^2.*((x(i)+DX(i)).^2+(y(i)+DY(i)).^2).^2+105*(y(i)+DY(i)).^2.*((x(i)+DX(i)).^2+(y(i)+DY(i)).^2).^2+56*(x(i)+DX(i)).^2.*((x(i)+DX(i)).^2+(y(i)+DY(i)).^2).^3-56*(y(i)+DY(i)).^2.*((x(i)+DX(i)).^2+(y(i)+DY(i)).^2).^3;
Z33(i)=-20*(x(i)+DX(i)).*(y(i)+DY(i))+120*(x(i)+DX(i)).*(y(i)+DY(i)).*((x(i)+DX(i)).^2+(y(i)+DY(i)).^2)-210*(x(i)+DX(i)).*(y(i)+DY(i)).*((x(i)+DX(i)).^2+(y(i)+DY(i)).^2).^2+112*(x(i)+DX(i)).*(y(i)+DY(i)).*((x(i)+DX(i)).^2+(y(i)+DY(i)).^2).^3;
Z34(i)=5*(x(i)+DX(i))-60*(x(i)+DX(i)).*((x(i)+DX(i)).^2+(y(i)+DY(i)).^2)+210*(x(i)+DX(i)).*((x(i)+DX(i)).^2+(y(i)+DY(i)).^2).^2-280*(x(i)+DX(i)).*((x(i)+DX(i)).^2+(y(i)+DY(i)).^2).^3+126*(x(i)+DX(i)).*((x(i)+DX(i)).^2+(y(i)+DY(i)).^2).^4;
Z35(i)=5*(y(i)+DY(i))-60*(y(i)+DY(i)).*((x(i)+DX(i)).^2+(y(i)+DY(i)).^2)+210*(y(i)+DY(i)).*((x(i)+DX(i)).^2+(y(i)+DY(i)).^2).^2-280*(y(i)+DY(i)).*((x(i)+DX(i)).^2+(y(i)+DY(i)).^2).^3+126*(y(i)+DY(i)).*((x(i)+DX(i)).^2+(y(i)+DY(i)).^2).^4;
Z36(i)=-1+30*((x(i)+DX(i)).^2+(y(i)+DY(i)).^2)-210*((x(i)+DX(i)).^2+(y(i)+DY(i)).^2).^2+560.*((x(i)+DX(i)).^2+(y(i)+DY(i)).^2).^3-630*((x(i)+DX(i)).^2+(y(i)+DY(i)).^2).^4+252*((x(i)+DX(i)).^2+(y(i)+DY(i)).^2).^5;
zzz=[Z1 Z2 Z3 Z4 Z5 Z6 Z7 Z8 Z9 Z10 Z11 Z12 Z13 Z14 Z15 Z16 Z17 Z18 Z19 Z20 Z21 Z22 Z23 Z24 Z25 Z26 Z27 Z28 Z29 Z30 Z31 Z32 Z33 Z34 Z35 Z36];
end
A=reshape(zzz,[533,36]);%workbenchµ¼³öµÄÊý¾Ý½ÚµãÒ»¹²ÓÐ533¸ö
[k,res]=qrls(A,W);
³ÌÐò¶þ£ºµ÷ÓóÌÐòqrls
function [k,res]=qrls(A,b)
[Q,R]=qr(A);f=Q'*b;
k=R\f; res=norm(b-A*k);
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87836356.2172928
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