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  • 數(shù)學(xué)題在線解4元一次方程

    數(shù)學(xué)題在線解4元一次方程
    數(shù)學(xué)人氣:965 ℃時間:2020-01-31 18:09:38
    優(yōu)質(zhì)解答
    方程:
    a1x1+b1x2+c1x3+d1x4=e1
    a2x1+b2x2+c2x3+d2x4=e2
    a3x1+b3x2+c3x3+d3x4=e3
    x1、x2、x3、x4為未知數(shù),取值為0-9000范圍內(nèi)整數(shù),其他全部為常數(shù)
    現(xiàn)在要求用vb進行求解,求出最優(yōu)的x1、x2、x3、x4值,即假設(shè):
    a1x1+b1x2+c1x3+d1x4值為s1
    a2x1+b2x2+c2x3+d2x4值為s2
    a3x1+b3x2+c3x3+d3x4值為s3
    (s1-e1)*(s1-e1)+(s2-e2)*(s2-e2)+(s3-e3)*(s3-e3)的值最小
    VB最原始的方法代碼為:
    VB code
    m1 = -1:m2 = -1:m3 = -1:m4 = -1
    aaa = -1
    For n1 = 0 To 9000
    For n2 = 0 To 9000
    For n3 = 0 To 9000
    For n4 = 0 To 9000
    s1 = a1 * n1 + b1 * n2 + c1 * n3 + d1 * n4
    s2 = a2 * n1 + b2 * n2 + c2 * n3 + d2 * n4
    s3 = a3 * n1 + b3 * n2 + c3 * n3 + d3 * n4
    If aaa = -1 Then
    m1 = n1:m2 = n2:m3 = n3:m4 = n4
    aaa = (s1 - e1) * (s1 - e1) + (s2 - e2) * (s2 - e2) + (s3 - e3) * (s3 - e3)
    Else
    If aaa < (s1 - e1) * (s1 - e1) + (s2 - e2) * (s2 - e2) + (s3 - e3) * (s3 - e3) Then
    m1 = n1:m2 = n2:m3 = n3:m4 = n4
    aaa = (s1 - e1) * (s1 - e1) + (s2 - e2) * (s2 - e2) + (s3 - e3) * (s3 - e3)
    End If
    End If
    Next
    Next
    Next
    Next
    MsgBox "最優(yōu)解為:" + Trim(m1) + "," + Trim(m2) + "," + Trim(m3) + "," + Trim(m4)
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