HP MLIB User's Guide Vol. 1 7th Ed.

Chapter 2 Basic Vector Operations 185
Norm of a vector F_SNORM/F_DNORM
Name F_SNORM/F_DNORM
Norm of a vector
Purpose F_xNORM computes one of the following for a vector x depending on the value
passed as the norm operator argument:
• 1-norm
• Real 1-norm
• 2-norm
• Frobenius-norm
• Max-norm
• Real-max-norm
• Infinity-norm
• Real infinity-norm
Refer to
NORM parameter below for details. If n is less than or equal to zero,
this routine returns immediately with the output scalar r set to zero. The
resulting scalar r is always real.
Usage VECLIB:
INTEGER*4 INCX, N, NORM
REAL*4 X( * )
REAL*4 FUNCTION F_SNORM (NORM, N, X, INCX)
INTEGER*4 INCX, N, NORM
REAL*8 X( * )
REAL*4 FUNCTION F_SNORM (NORM, N, X, INCX)
VECLIB8:
INTEGER*8 INCX, N, NORM
REAL*4 X( * )
REAL*4 FUNCTION F_SNORM (NORM, N, X, INCX)
INTEGER*8 INCX, N, NORM
REAL*8 X( * )
REAL*4 FUNCTION F_SNORM (NORM, N, X, INCX)
rx
1
x
1R
x
2
x
∞
or x
∞R
,,,,←