gauss赛德尔迭代法.frm

完整的数值模拟软件

VERSION 5.00
Begin VB.Form Form14 
   BackColor       =   &H00C0C0C0&
   Caption         =   "Gauss赛德尔迭代法"
   ClientHeight    =   7170
   ClientLeft      =   60
   ClientTop       =   345
   ClientWidth     =   11595
   LinkTopic       =   "Form14"
   ScaleHeight     =   7170
   ScaleWidth      =   11595
   StartUpPosition =   3  '窗口缺省
   Begin VB.PictureBox Picture2 
      BackColor       =   &H00FFFFFF&
      BeginProperty Font 
         Name            =   "宋体"
         Size            =   9
         Charset         =   134
         Weight          =   700
         Underline       =   0   'False
         Italic          =   0   'False
         Strikethrough   =   0   'False
      EndProperty
      Height          =   3975
      Left            =   6000
      ScaleHeight     =   3915
      ScaleWidth      =   4635
      TabIndex        =   2
      Top             =   2160
      Width           =   4695
   End
   Begin VB.PictureBox Picture1 
      BackColor       =   &H00FFFFFF&
      BeginProperty Font 
         Name            =   "宋体"
         Size            =   9
         Charset         =   134
         Weight          =   700
         Underline       =   0   'False
         Italic          =   0   'False
         Strikethrough   =   0   'False
      EndProperty
      Height          =   3975
      Left            =   480
      ScaleHeight     =   3915
      ScaleWidth      =   4995
      TabIndex        =   1
      Top             =   2160
      Width           =   5055
   End
   Begin VB.CommandButton Command1 
      Caption         =   "高斯-赛德尔迭代法"
      BeginProperty Font 
         Name            =   "宋体"
         Size            =   10.5
         Charset         =   134
         Weight          =   700
         Underline       =   0   'False
         Italic          =   0   'False
         Strikethrough   =   0   'False
      EndProperty
      Height          =   735
      Left            =   4920
      TabIndex        =   0
      Top             =   360
      Width           =   2175
   End
   Begin VB.Label Label2 
      BackColor       =   &H00C0C0C0&
      Caption         =   "运算结果"
      BeginProperty Font 
         Name            =   "宋体"
         Size            =   10.5
         Charset         =   134
         Weight          =   700
         Underline       =   0   'False
         Italic          =   0   'False
         Strikethrough   =   0   'False
      EndProperty
      Height          =   735
      Left            =   7800
      TabIndex        =   4
      Top             =   1560
      Width           =   2895
   End
   Begin VB.Label Label1 
      BackColor       =   &H00C0C0C0&
      Caption         =   "方程组系数矩阵"
      BeginProperty Font 
         Name            =   "宋体"
         Size            =   10.5
         Charset         =   134
         Weight          =   700
         Underline       =   0   'False
         Italic          =   0   'False
         Strikethrough   =   0   'False
      EndProperty
      Height          =   735
      Left            =   1800
      TabIndex        =   3
      Top             =   1560
      Width           =   2295
   End
End
Attribute VB_Name = "Form14"
Attribute VB_GlobalNameSpace = False
Attribute VB_Creatable = False
Attribute VB_PredeclaredId = True
Attribute VB_Exposed = False
Private Sub Command1_Click()
 ' Dim a(), b(), X()  As Single
   Dim a(10, 10), b(10), X(10) As Single
  Dim i As Integer, j As Integer, k As Integer, n As Integer
   a(1, 1) = 8: a(1, 2) = -3: a(1, 3) = 2: b(1) = 20
   a(2, 1) = 4: a(2, 2) = 11: a(2, 3) = -1: b(2) = 33
   a(3, 1) = 2: a(3, 2) = 1: a(3, 3) = 4: b(3) = 12
  EPS = 0.00001
  'n = InputBox("输入方程组的个数n", , , 100, 100)
  'ReDim X(n), a(n, n), b(n)
      n = 3
    Picture1.Cls
    
    For i = 1 To n
       For j = 1 To n
          'a(i, j) = InputBox("输入a(" & i & "," & j & ")的值", , , 100, 100)
          Picture1.Print a(i, j),
       Next j
          'b(i) = InputBox("输入b(" & i & ")的值", , , 100, 100)
           Picture1.Print b(i)
    Next i
     ms = MsgBox("按任意键继续")
     IMAX = 50
     For k = 1 To IMAX
        e = 0#
        For i = 1 To n
          t = X(i)                         '与雅克比的不同之处
          s = 0
            For j = 1 To n
               If j <> i Then
                  s = a(i, j) * X(j) + s
               End If
            Next j
                X(i) = (b(i) - s) / a(i, i)
            If Abs(X(i) - t) > e Then
              e = Abs(X(i) - t)
            End If
        Next i
            If e <= EPS Then
             Picture2.Print
             Picture2.Print "经过" + Str(k) + "次高斯-赛德尔迭代后，得到方程组的解为："
        
           For i = 1 To n
              Picture2.Print "    x(" + Str(i) + ")=  "; Int(X(i) * 100000 + 0.5) / 100000
          Next i
            Exit Sub
           End If
         
       Picture2.Cls
       Picture2.Print "第" + Str(k) + "次迭代后"
       Picture2.Print
       For i = 1 To n
         Picture2.Print "    x(" + Str(i) + ")=  "; X(i)
       Next i
       ms = MsgBox("按任意键继续")
    Next k
     
End Sub