初等行变换之互换两行

Public Sub Matrix_Specify_Tow_Row_Exchange(Row_A_Index As Integer, Row_B_Index As Integer, temp_matrix() As Single)

Dim i As Integer

For i = 1 To UBound(temp_matrix, 2)

swap temp_matrix(Row_A_Index, i), temp_matrix(Row_B_Index, i)

Next i

End Sub

'初等行变换之一行自乘一个数后加至另一行上去

Public Sub Matrix_Single_Row_ShuChen_Addition_To_Other_Row(temp_matrix() As Single, Row_A_Index As Integer, Row_B_Index As Integer, k As Single)

Dim i As Integer

For i = 1 To UBound(temp_matrix, 2)

temp_matrix(Row_B_Index, i) = temp_matrix(Row_B_Index, i) + k * temp_matrix(Row_A_Index, i)

Next i

End Sub

'初等行变换之某一行的全体自乘一个数

Public Sub Matrix_Single_Row_ShuChen(k As Single, temp_a() As Single, Row_Index As Integer)

Dim i As Integer

For i = 1 To UBound(temp_a, 2)

temp_a(Row_Index, i) = k * temp_a(Row_Index, i)

Next i

End Sub

'最简行阶梯阵的计算。

Option Explicit

Public Function Matrix_Basic_Row_Transformation(temp_matrix() As Single)

Dim Row_Index As Integer, col_index As Integer, Row_Num As Integer, Col_Num As Integer

Dim i As Integer, j As Integer, Not_Zero_Row_Index As Integer

Dim temp_chen As Single

Dim flag As Boolean

Row_Num = UBound(temp_matrix, 1)

Col_Num = UBound(temp_matrix, 2)

Row_Index = 1: col_index = 1

Do While (Row_Index <= Row_Num And col_index <= Col_Num)

'Do While (col_index <= Col_Num)

flag = If_Specify_Col_Zero(temp_matrix, col_index, Row_Index, Not_Zero_Row_Index)

If (flag = False) Then

'FormTest.Print "did it!"

'If col_index = 2 And Row_Index = 2 Then output_matrix temp_matrix

If (Not_Zero_Row_Index <> Row_Index) Then

Matrix_Specify_Tow_Row_Exchange Row_Index, Not_Zero_Row_Index, temp_matrix

End If

'FormTest.List1.AddItem Row_Index

'FormTest.List2.AddItem col_index

For i = 1 To Row_Num

If (i <> Row_Index) Then

Matrix_Single_Row_ShuChen_Addition_To_Other_Row temp_matrix, Row_Index, i, -temp_matrix(i, col_index) / temp_matrix(Row_Index, col_index)

End If

'If Row_Index = 2 Then FormTest.List1.AddItem temp_matrix(i, Col_Num)

Next i

Matrix_Single_Row_ShuChen 1 / temp_matrix(Row_Index, col_index), temp_matrix, Row_Index

Row_Index = Row_Index + 1

col_index = col_index + 1

Else

'FormTest.Print col_index, Row_Index

col_index = col_index + 1

End If

Loop

End Function

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作业帮用户

2017-09-23

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