MATLAB中5元一次方程:a*x+b*y+c*z+d*u+e*v=f.已知系数矩阵abcde和列向量f,用最小二乘法拟
MATLAB中5元一次方程:a*x+b*y+c*z+d*u+e*v=f.已知系数矩阵abcde和列向量f,用最小二乘法拟合求解方程组
现有从ABAQUS软件中得到的18组数据,要在Matlab中用最小二乘法拟合求值,不是一般的求解线性方程组,以下为18个方程组:
1),2.5*x+25*y+62.5*z+6.25*u+625*v=21.25
2),2.5*x+20*y+50*z+6.25*u+400*v=16.75
3),2.5*x+50/3*y+125/3*z+6.25*u+2500/9*v=13.25
4),2.5*x+100/7*y+250/7*z+6.25*u+10000/49*v=10.75
5),2*x+25*y+50*z+4*u+625*v=20.75
6),2*x+20*y+40*z+4*u+400*v=16
7),2*x+50/3*y+100/3*z+4*u+2500/9*v=12.75
8),2*x+100/7*y+200/7*z+4*u+10000/49*v=10.5
9),5/3*x+20*y+100/3*z+25/9*u+400*v=15.75
10),5/3*x+50/3*y+250/9*z+25/9*u+2500/9*v=12.5
11),5/3*x+100/7*y+500/21*z+25/9*u+10000/49*v=10
12),10/7*x+20*y+200/7*z+100/49*u+400*v=15.5
13),10/7*x+50/3*y+500/21*z+100/49*u+2500/9*v=12
14),10/7*x+100/7*y+1000/49*z+100/49*u+10000/49*v=9.5
15),1.25*x+25*y+31.25*z+1.5625*u+625*v=18.75
16),1.25*x+20*y+25*z+1.5625*u+400*v=12.75
17),1.25*x+50/3*y+62.5/3*z+1.5625*u+2500/9*v=8
18),1.25*x+100/7*y+120/7*z+1.5625*u+10000/49*v=1.75