用Matlab求解非线性方程组

考虑以下等式：

eqn1 =


    sin(t6)*(cos(t4)*sin(t1) + sin(t4)*(cos(t1)*sin(t2)*sin(t3) - cos(t1)*cos(t2)*cos(t3))) + cos(t6)*(cos(t5)*(sin(t1)*sin(t4) - cos(t4)*(cos(t1)*sin(t2)*sin(t3) - cos(t1)*cos(t2)*cos(t3))) - sin(t5)*(cos(t1)*cos(t2)*sin(t3) + cos(t1)*cos(t3)*sin(t2))) == 1


eqn2 =


    cos(t6)*(cos(t4)*sin(t1) + sin(t4)*(cos(t1)*sin(t2)*sin(t3) - cos(t1)*cos(t2)*cos(t3))) - sin(t6)*(cos(t5)*(sin(t1)*sin(t4) - cos(t4)*(cos(t1)*sin(t2)*sin(t3) - cos(t1)*cos(t2)*cos(t3))) - sin(t5)*(cos(t1)*cos(t2)*sin(t3) + cos(t1)*cos(t3)*sin(t2))) == 0


eqn3 =


    - sin(t5)*(sin(t1)*sin(t4) - cos(t4)*(cos(t1)*sin(t2)*sin(t3) - cos(t1)*cos(t2)*cos(t3))) - cos(t5)*(cos(t1)*cos(t2)*sin(t3) + cos(t1)*cos(t3)*sin(t2)) == 0


eqn4 =


    cos(t1)/100 + (19*cos(t1)*cos(t2))/100 - (21*cos(t1)*sin(t2)*sin(t3))/1000 + (21*cos(t1)*cos(t2)*cos(t3))/1000 - (219*cos(t1)*cos(t2)*sin(t3))/1000 - (219*cos(t1)*cos(t3)*sin(t2))/1000 == 619/1000


eqn5 =


    - sin(t6)*(cos(t1)*cos(t4) - sin(t4)*(sin(t1)*sin(t2)*sin(t3) - cos(t2)*cos(t3)*sin(t1))) - cos(t6)*(cos(t5)*(cos(t1)*sin(t4) + cos(t4)*(sin(t1)*sin(t2)*sin(t3) - cos(t2)*cos(t3)*sin(t1))) + sin(t5)*(cos(t2)*sin(t1)*sin(t3) + cos(t3)*sin(t1)*sin(t2))) == 0


eqn6 =


    sin(t6)*(cos(t5)*(cos(t1)*sin(t4) + cos(t4)*(sin(t1)*sin(t2)*sin(t3) - cos(t2)*cos(t3)*sin(t1))) + sin(t5)*(cos(t2)*sin(t1)*sin(t3) + cos(t3)*sin(t1)*sin(t2))) - cos(t6)*(cos(t1)*cos(t4) - sin(t4)*(sin(t1)*sin(t2)*sin(t3) - cos(t2)*cos(t3)*sin(t1))) == 1


eqn7 =


    sin(t5)*(cos(t1)*sin(t4) + cos(t4)*(sin(t1)*sin(t2)*sin(t3) - cos(t2)*cos(t3)*sin(t1))) - cos(t5)*(cos(t2)*sin(t1)*sin(t3) + cos(t3)*sin(t1)*sin(t2)) == 0


eqn8 =


    sin(t1)/100 + (19*cos(t2)*sin(t1))/100 - (219*cos(t2)*sin(t1)*sin(t3))/1000 - (219*cos(t3)*sin(t1)*sin(t2))/1000 - (21*sin(t1)*sin(t2)*sin(t3))/1000 + (21*cos(t2)*cos(t3)*sin(t1))/1000 == 0


eqn9 =


    sin(t4)*sin(t6)*(cos(t2)*sin(t3) + cos(t3)*sin(t2)) - cos(t6)*(sin(t5)*(cos(t2)*cos(t3) - sin(t2)*sin(t3)) + cos(t4)*cos(t5)*(cos(t2)*sin(t3) + cos(t3)*sin(t2))) == 0


eqn10 =


    sin(t6)*(sin(t5)*(cos(t2)*cos(t3) - sin(t2)*sin(t3)) + cos(t4)*cos(t5)*(cos(t2)*sin(t3) + cos(t3)*sin(t2))) + cos(t6)*sin(t4)*(cos(t2)*sin(t3) + cos(t3)*sin(t2)) == 0


eqn11 =


    cos(t4)*sin(t5)*(cos(t2)*sin(t3) + cos(t3)*sin(t2)) - cos(t5)*(cos(t2)*cos(t3) - sin(t2)*sin(t3)) == 1


eqn12 =


    (219*sin(t2)*sin(t3))/1000 - (219*cos(t2)*cos(t3))/1000 - (21*cos(t2)*sin(t3))/1000 - (21*cos(t3)*sin(t2))/1000 - (19*sin(t2))/100 == 261/1000

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有一个函数可以解这些方程吗？

fminsearch应该可以解决这个问题

请注意，如果问题不是凸的，求解非线性方程可能导致局部最优解而不是全局最优解。在许多实际情况下，您不能真正确定自己是全局最优的

不过，您需要对其进行重新表述，使其成为最小化问题

---

例如，f（x）=1可以写成最小化abs（f（x）-1）

fminsearch应该做到这一点

请注意，如果问题不是凸的，求解非线性方程可能导致局部最优解而不是全局最优解。在许多实际情况下，您不能真正确定自己是全局最优的

不过，您需要对其进行重新表述，使其成为最小化问题

---

例如，f（x）=1可以写成最小化abs（f（x）-1）

你看过牛顿的非线性系统方法吗？matlab中有函数吗？还是我应该自己用笔和纸来做？我想你可以用matlab应用牛顿的方法。虽然我手头没有这些信息，但如果我们用谷歌搜索，它可能会变得清晰。你可能想尝试一个更小的系统，确保你能首先解决这个问题。还有12个方程和6个未知数，这可能表明不存在解。我有6个未知数，这确实意味着我需要至少6个方程来解。你看过牛顿的非线性系统方法吗？matlab中有函数吗？或者我应该自己用笔和纸来做吗？我想你可以在matlab中应用牛顿的方法。虽然我手头没有这些信息，但如果我们用谷歌搜索，它可能会变得清晰。你可能想尝试一个更小的系统，确保你能首先解决这个问题。还有12个方程和6个未知数，这可能表明不存在解。我有6个未知数，这意味着我至少需要6个方程来解