This class implements the least square solution of a set of n linear equations of m unknowns (n >= m) using the gauss LU decomposition algorithm. This algorithm is more likely subject to numerical instability than math_SVD.
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#include <math_GaussLeastSquare.hxx>

 math_GaussLeastSquare (const math_Matrix &A, const Standard_Real MinPivot=1.0e20) 
 Given an input n X m matrix A with n >= m this constructor performs the LU decomposition with partial pivoting (interchange of rows) of the matrix AA = A.Transposed() * A; This LU decomposition is stored internally and may be used to do subsequent calculation. If the largest pivot found is less than MinPivot the matrix is considered as singular. More...


Standard_Boolean  IsDone () const 
 Returns true if the computations are successful, otherwise returns false.e. More...


void  Solve (const math_Vector &B, math_Vector &X) const 
 Given the input Vector this routine solves the set of linear equations A . X = B. Exception NotDone is raised if the decomposition of A was not done successfully. Exception DimensionError is raised if the range of B Inv is not equal to the rowrange of A. Exception DimensionError is raised if the range of X Inv is not equal to the colrange of A. More...


void  Dump (Standard_OStream &o) const 
 Prints on the stream o information on the current state of the object. Is used to redefine the operator <<. More...


This class implements the least square solution of a set of n linear equations of m unknowns (n >= m) using the gauss LU decomposition algorithm. This algorithm is more likely subject to numerical instability than math_SVD.
Given an input n X m matrix A with n >= m this constructor performs the LU decomposition with partial pivoting (interchange of rows) of the matrix AA = A.Transposed() * A; This LU decomposition is stored internally and may be used to do subsequent calculation. If the largest pivot found is less than MinPivot the matrix is considered as singular.
Prints on the stream o information on the current state of the object. Is used to redefine the operator <<.
Returns true if the computations are successful, otherwise returns false.e.
Given the input Vector this routine solves the set of linear equations A . X = B. Exception NotDone is raised if the decomposition of A was not done successfully. Exception DimensionError is raised if the range of B Inv is not equal to the rowrange of A. Exception DimensionError is raised if the range of X Inv is not equal to the colrange of A.
The documentation for this class was generated from the following file: