这个方程组是不是要用高精度数才能求解
问题来源:http://www.ilovematlab.cn/thread-126160-1-4.htmlm*1118.2^x*(-34.2102)+n*1118.2^y-11018.4*9.8536=0;
m*1098.9^x*(-51.5620)+n*1098.9^y-9495.9*8.6415=0;
m*1072.8^x*(-67.1970)+n*1072.8^y-7739.6*7.2142=0;
m*1037^x*(-93.0805)+n*1037^y-5792.7*5.5861=0;
另外,有几组解? 1# forcal
嗯,要用高精度数求解....
问问题也是一门艺术,从题型来看,这是一个曲线拟合问题,提问者用错了思路 2# wayne
能否给出全部高精度解?
或者拟合问题的高精度最优解?
另外,我的两组解,在高精度数下,误差为多少?
结果(m,n,x,y,误差):
7.092550121550928e-041 6.114956336248484e-044 13.62603232775871 15.82822963995993 4.89439991618336e-011
1.647010419446029e-144 6.410665119638539e-045 47.64837599512767 16.14976210271728 2.584757700727148e-010
采用下式计算误差:
y1=m*1118.2^x*(-34.2102)+n*1118.2^y-11018.4*9.8536,
y2=m*1098.9^x*(-51.5620)+n*1098.9^y-9495.9*8.6415,
y3=m*1072.8^x*(-67.1970)+n*1072.8^y-7739.6*7.2142,
y4=m*1037^x*(-93.0805)+n*1037^y-5792.7*5.5861,
sqrt[(y1*y1+y2*y2+y3*y3+y4*y4)/4];
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