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vndutils.h File Reference

#include "vnodecnf.h"

Functions

double MaxNorm ( const INTERVAL_VECTOR & V )
 Computes the max norm of an interval vector. More...

double MaxNorm ( const VECTOR & V )
 Computes the max norm of a point vector. More...

double MaxNorm ( const INTERVAL_MATRIX & M )
 Computes the max norm of an interval matrix. More...

double MaxNorm ( const MATRIX & )
 Computes the max norm of a point matrix. More...

double LengthColumn ( const MATRIX & M, int j )
 Compute the Euclidean norm of a column of a point matrix. More...

void CopyColumn (MATRIX & A, int i, const MATRIX & B, int j)
 Copy the j-th column of B to the i-th column of A. More...


Function Documentation

double MaxNorm ( const INTERVAL_VECTOR & V )
 

Computes the max norm of an interval vector.

Parameters:
V   an interval vector
Returns:
the max norm of V
Precondition:
Dimension(V)>0

double MaxNorm ( const VECTOR & V )
 

Computes the max norm of a point vector.

Parameters:
V   a point vector
Returns:
the max norm of V
Precondition:
Dimension(V)>0

double MaxNorm ( const INTERVAL_MATRIX & M )
 

Computes the max norm of an interval matrix.

Parameters:
M   an interval matrix
Returns:
the max norm of M
Precondition:
ColDimension(M)>0 && RowDimension(M)>0

double MaxNorm ( const MATRIX & )
 

Computes the max norm of a point matrix.

Parameters:
M   a point matrix
Returns:
the max norm of M
Precondition:
ColDimension(M)>0 && RowDimension(M)>0

double LengthColumn ( const MATRIX & M,
int j )
 

Compute the Euclidean norm of a column of a point matrix.

Parameters:
M   point matrix
j   j-th column in M
Precondition:
ColDimension(M)>0 && RowDimension(M)>0 &&
j>=1 && j <= ColDimension(M)
Returns:
the Euclidean norm of the j-th column of M

void CopyColumn ( MATRIX & A,
int i,
const MATRIX & B,
int j )
 

Copy the j-th column of B to the i-th column of A.

Parameters:
A   point matrix
B   point matrix
i   column number in A, where the j-th column of B is to be copied
j   column of B that has to be copied to the i-th column of A

Returns:
B - (output)
Precondition:
ColDimension(A)==ColDimension(B) &&
RowDimension(A)==RowDimension(B) &&
ColDimension(A)>0 && RowDimension(A)>0 &&
j>=1 && j<=ColDimension(A) &&
i>=1 && i<=ColDimension(B) );


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