matrixbase::GetLowerTriangular
GetLowerTriangular
Description
Get a lower triangular matrix from this matrix.
Syntax
int GetLowerTriangular( matrixbase & mbResult, int nNumDiagonal = 0 )
Parameters
- mbResult
- [output] The result matrix containing only the lower part
- nNumDiagonal
- [input] Default 0 is the main diagonal, > 0 is above the
- main diagonal, and < 0 is below the main diagonal.
Return
Returns 0 on success and a non-zero error code on failure.
-1=Internal cast error.
Examples
EX1
void matrixbase_GetLowerTriangular_ex1()
{
matrix<double> mat1 = {
{ 1, 1, 99, 1, 1},
{99, 1, 1, 1, 1},
{ 1, 1, 1, 1, 1}
};
mat1[1][0]=NANUM; // set row=2,col=1 to NANUM
mat1[0][2]=NANUM; // set row=1,col=3 to NANUM
matrix<double> mat2;
int rc = mat1.GetLowerTriangular(mat2);
if(rc!=0)
printf(" Error: GetLowerTriangular failed. Error Code=%d\n",rc);
else{
printf("The matrix is:\n");
for(int ii=0; ii< mat2.GetNumRows(); ii++){
for(int jj=0; jj< mat2.GetNumCols(); jj++)
printf("%g ", mat2[ii][jj]);
printf("\r\n");
}
}
}
EX2
// Convert a matrix to the lower triangular matrix
void matrixbase_GetLowerTriangular_ex1()
{
matrix<double> mat1 = {
{ 1, 1, 99, 1, 1},
{99, 1, 1, 1, 1},
{ 1, 1, 1, 1, 1}
};
mat1[1][0]=NANUM; // set row=2,col=1 to NANUM
mat1[0][2]=NANUM; // set row=1,col=3 to NANUM
// Input matrix is:
// { 1, 1, --, 1, 1}
// {--, 1, 1, 1, 1}
// { 1, 1, 1, 1, 1}
// LowerTriangular matrix is:
// { 1, 0, 0, 0, 0}
// {--, 1, 0, 0, 0}
// { 1, 1, 1, 0, 0}
// LowerTriangular matrix from the 1th diagonal below the main diagonalis:
// { 0, 0, 0, 0, 0}
// {--, 0, 0, 0, 0}
// { 1, 1, 0, 0, 0}
MatrixPage MatPg1;
MatPg1.Create("Origin");
MatrixLayer MatLy1 = MatPg1.Layers(0);
Matrix Mat1(MatLy1);
Mat1 = mat1;
printf(" Original matrix is %s.\n",Mat1.GetName());
MatrixPage MatPg2;
MatPg2.Create("Origin");
MatrixLayer MatLy2 = MatPg2.Layers(0);
Matrix Mat2(MatLy2);
int rc=Mat1.GetLowerTriangular(Mat2); //Put the lower triangular matrix of Mat1 to Mat2
if(rc!=0)
printf(" Error: GetLowerTriangular failed. Error Code=%d\n",rc);
else
{
printf(" Lower triangular matrix is %s.\n",Mat2.GetName());
printf(" Note that the NANUM in the lower triangular area is preserved,\n");
printf(" Note that the NANUM in the upper triangular area became 0,\n");
}
MatrixPage MatPg3;
MatPg3.Create("Origin");
MatrixLayer MatLy3 = MatPg3.Layers(0);
Matrix Mat3(MatLy3);
rc=Mat1.GetLowerTriangular(Mat3,-1); //Put the lower triangular matrix of Mat1 to Mat3 from the 1th diagonal below the main diagonal
if(rc!=0)
printf(" Error: GetLowerTriangular failed. Error Code=%d\n",rc);
else
{
printf(" Lower triangular matrix is %s.\n",Mat3.GetName());
printf(" Note that the NANUM in the lower triangular area is preserved,\n");
printf(" Note that the NANUM in the upper triangular area became 0,\n");
}
}
Remark
Get a lower triangular matrix from this matrix. This matrix and the result matrix may be the same.
See Also
matrixbase::GetUpperTriangular, matrixbase::MakeIdentity, matrixbase::SetDiagonal, matrixbase::GetDiagonal
header to Include
origin.h
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