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有个非线性方程组的求解问题,一直没有解决掉,请各位帮帮忙请详细说明下。最好有程序,我对MATLAB数值计算不怎么理解。方程组如下:
[x1,x2,x3,x4,x5,y1,y2,y3,y4,y5,z1,z2,z3,z4,z5] = ...
('x1^2+y1^2+z1^2=75515.04','x2^2+y2^2+z2^2=47698.56','x3^2+y3^2+z3^2=48620.25',...
'x4^2+y4^2+z4^2=33160.41','x5^2+y5^2+z5^2=219117.61','(x1-x2)^2+(y1-y2)^2+(z1-z2)^2=36902.41',...
'(x1-x3)^2+(y1-y3)^2+(z1-z3)^2=25027.24','(x1-x4)^2+(y1-y4)^2+(z1-z4)^2=157212.25',...
'(x1-x5)^2+(y1-y5)^2+(z1-z5)^2=90721.44','(x2-x3)^2+(y2-y3)^2+(z2-z3)^2=25058.89',...
'(x2-x4)^2+(y2-y4)^2+(z2-z4)^2=156816','(x2-x5)^2+(y2-y5)^2+(z2-z5)^2=89760.16',...
'(x3-x4)^2+(y3-y4)^2+(z3-z4)^2=133225','(x3-x5)^2+(y3-y5)^2+(z3-z5)^2=66254.76',...
'(x4-x5)^2+(y4-y5)^2+(z4-z5)^2=384400')
15个未知数,15个方程。要是用fsolve。我不知道如何猜初值,也不知道其收敛性如何!! |