求解线性方程组-gekko [英] solving linear system of equations - gekko

问题描述

这是求解线性方程组的简单示例，也是对许多方程使用for循环的示例.

Here is a simple example of solving the system of linear equations and the example of using for loop for many equations.

import numpy as np
from gekko import GEKKO

m = GEKKO(remote=False)

# Random 3x3
A = np.random.rand(3,3)
# Random 3x1
b = np.random.rand(3)
# Gekko array 3x1
x = m.Array(m.Var,(3))

# solve Ax = b
eqn = np.dot(A,x)
for i in range(3):
   m.Equation(eqn[i]==b[i])
m.solve(disp=False)
X = [x[i].value for i in range(3)]
print(X)
print(b)
print(np.dot(A,X))

具有正确的输出.结果为X(np.dot(A，X)== b)-正确！

with the correct output. With the result X (np.dot(A,X)==b) - correct!

[[-0.45756768428], [1.0562541773], [0.10058435163]]
[0.64342498 0.34894335 0.5375324 ]
[[0.64342498]
[0.34894335]
[0.5375324 ]]

在最近的Gekko 0.2rc6中，还引入了用于线性编程的axb()函数.使用此功能可能会解决相同的问题，但是我不确定如何获得正确的结果.

In the recent Gekko 0.2rc6 there is also introduced axb() function for linear programing. This might be the same problem solved with this function, but I am not sure how to get the correct result.

m = GEKKO(remote=False)

# Random 3x3
A = np.random.rand(3,3)
# Random 3x1
b = np.random.rand(3)
# Gekko array 3x1
x = m.Array(m.Var,(3))

# solve Ax = b
m.axb(A,b,x=x)
m.solve(disp=False)
X = [x[i].value for i in range(3)]
print(X)
print(b)
print(np.dot(A,X))

但是似乎我错过了一些事情，因为输出不是解决方案???结果X(np.dot(A，X)== b)-不正确！

but it seems I missed something because the output is not the solution??? With the result X (np.dot(A,X)==b) - is not correct!

[[0.2560342704], [0.7543346092], [-0.084190799732]]
[0.27262652 0.61028723 0.74616952]
[[0.4201021 ]
[0.5206979 ]
[0.39195592]]

推荐答案

m.axb()当前在Gekko v0.2.8中存在一个错误.它已在下一版Gekko中修复，或者您可以从GitHub获取预发行版本: https://github.com/BYU-PRISM/GEKKO/blob/master/gekko/gekko.py ，bin文件夹中有APM可执行文件.该修复程序可用于Gekko v1.0.0.

The m.axb() currently has a bug in Gekko v0.2.8. It is fixed in the next version of Gekko or you can get the pre-release version from GitHub: https://github.com/BYU-PRISM/GEKKO/blob/master/gekko/gekko.py with APM executable in the bin folder. The fix is available with Gekko v1.0.0.

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