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NAME:
NCDF_EXISTS
PURPOSE:
Test for the existence of the NetCDF library
CATEGORY:
File Formats
CALLING SEQUENCE:
Result = NCDF_EXISTS()
INPUTS:
None.
KEYWORD PARAMETERS:
None.
OUTPUTS:
Returns TRUE (1) if the NetCDF data format library is supported
Returns FALSE(0) if it is not.
CALLS: ***
NCDF_CONTROL
COMMON BLOCKS:
NCDFTEST
EXAMPLE:
IF ncdf_exists() EQ 0 THEN Fail,"Library not supported on this machine"
MODIFICATION HISTORY
Written by: Joshua Goldstein, 12/8/92
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NAME:
NORM
PURPOSE:
This function computes the norm of a real or complex vector or array.
By default, NORM computes the Euclidean norm of a vector, or the
Infinity norm of an array.
CATEGORY:
Complex Linear Algebra.
CALLING SEQUENCE:
Result = NORM(A)
INPUTS:
A: An N-element real or complex vector.
An M by N real or complex array.
KEYWORD PARAMETERS:
DOUBLE: If set to a non-zero value, computations are done in
double precision arithmetic.
LNORM: Set this keyword to indicate which norm to compute.
If A is a vector, then the possible values are:
LNORM=0 Compute the L(Infinity) norm, defined as Max(Abs(A))
LNORM=1 Compute the L(1) norm, defined as Total(Abs(A))
LNORM=2 Compute the L(2) norm, defined as Sqrt(Total(Abs(A)^2))
LNORM=n Compute the L(n) norm, defined as (Total(Abs(A)^n))^(1/n)
n may be any number, float or integer.
If LNORM is not specified then LNORM=2 is used.
If A is an array, then the possible values are:
LNORM=0 Compute the L(Infinity) norm
(maximum absolute row sum norm), defined as
Max(Total(Abs(A),1))
LNORM=1 Compute the L(1) norm
(maximum absolute column sum norm), defined as
Max(Total(Abs(A),2))
LNORM=2 Compute the L(2) norm (spectral norm), defined as
the largest singular value, computed from SVD.
If LNORM is not specified then LNORM=0 is used.
CALLED BY:
COND, EXTRACT_SLICE
EXAMPLE:
1) Define an N-element complex vector (a).
a = [complex(1, 0), complex(2,-2), complex(-3,1)]
Compute the Euclidean norm of (a).
result = NORM(a)
2) Define an M by N complex array (a).
a = [[complex(1, 0), complex(2,-2), complex(-3,1)], $
[complex(1,-2), complex(2, 2), complex(1, 0)]]
Compute the Infinity norm of the complex array (a).
result = NORM(a)
REFERENCE:
ADVANCED ENGINEERING MATHEMATICS (seventh edition)
Erwin Kreyszig
ISBN 0-471-55380-8
CRC Concise Encyclopedia of Mathematics
Eric W. Weisstein
ISBN 0-8493-9640-9
MODIFICATION HISTORY:
Written by: GGS, RSI, April 1992
Modified: GGS, RSI, February 1994
Computes the Euclidean norm of an N-element vector.
Accepts complex inputs. Added DOUBLE keyword.
Modified: GGS, RSI, September 1994
Added support for double-precision complex inputs.
Modified: GGS, RSI, April 1996
Modified keyword checking and use of double precision.
Modified: CT, RSI, May 2001
Added LNORM keyword. Allows L(1), L(2),..., L(Infinity) norm.
Modified: CT, RSI, July 2003
Change SVDC to LA_SVD so complex input is allowed for L(2)
Modified: CT, RSI, August 2004: Don't allow arrays for LNORM.
Fix bug for LNORM=2 with integer vectors.
Modified: CT, RSI, Jan 2005: Use double precision for internal
calculations, to avoid problems with huge integer inputs.