2.1.17.6.1 ocmath_ex_svbksb
Description
Solves linear system using singular value backsubstitution.
Syntax
int ocmath_ex_svbksb( double ** ppu, double * pw, double ** ppv, int m, int n, double * pb, double * px )
Parameters
- ppu
- [input]the pointer to the m by n matrix U in the standard "pointer-to-rows" form,
- obtained by singular value decomposition from the LHS of a linear system.
- pw
- [input]the pointer to the vector W of size n,
- obtained by singular value decomposition from the LHS of a linear system.
- ppv
- [input]the pointer to the n by n matrix V in the standard "pointer-to-rows" form,
- obtained by singular value decomposition from the LHS of a linear system.
- m
- [input]number of rows in the original matrix
- n
- [input]number of columns in the original matrix.
- pb
- [input]pointer to a vector of size m holding the RHS of the linear system.
- px
- [output]pointer to a vector of size n which will on return receive the solution.
Return
Returns 0 if OK, 1 if any error, for example, the values of the vector W
are so small (by absolute value) that they cannot be divided with.
Examples
EX1
void ocmath_ex_svbksb_ex1()
{
double dArray1[4]={2,3,5,7};
double dArray2[4]={11,13,17,19};
double dArray3[4]={23,29,31,37};
double *dArrayTest1[3];
int m = 3;
int n = 4;
dArrayTest1[0]= dArray1;
dArrayTest1[1]= dArray2;
dArrayTest1[2]= dArray3;
double dArray4[4]={2,3,5,7};
double dArray5[4]={11,13,17,19};
double dArray6[4]={23,29,31,37};
double dArray7[4]={41,43,47,49};
double *dArrayTest2[4];
dArrayTest2[0]=dArray4;
dArrayTest2[1]=dArray5;
dArrayTest2[2]=dArray6;
dArrayTest2[3]=dArray7;
vector vW={1,2,3,4};
vector vb={1,2,3};
vector vx;
vx.SetSize(n);
int iRet = ocmath_ex_svbksb(dArrayTest1,vW,dArrayTest2,m,n,vb,vx);
}
Remark
See Also
Header to Include
origin.h
Reference
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