Module POLAR in DIERCKX

• DIERCKX Information

• Components
  • Example from NETLIB
  • Fullsource from NETLIB
  • Source from NETLIB

POLAR

 
Fits a smooth function f(x,y) to a set of data scattered over the domain x**2 + y**2 <=
rad(atan(y/x))**2, where rad is a user-supplied function describing the
boundary of the approximation region. The problem is reduced to determining a
bicubic spline s(u,v) on a rectangle, where x = u*rad(v)*cos(v) and y =
u*rad(v)*sin(v). Either weighted least-squares splines with given knots or
smoothing splines with automatically chosen knots can be determined.
 
Classes  :  K1a1b . Unconstrained linear least squares approximation on
                  multivariate data (surface fitting)
            K5 .    Smoothing
            L8g .   Spline (i.e., piecewise polynomial) regression
            L8h .   EDA regression
 
Type     : Fortran subroutine in DIERCKX package.
Access   : Some uses prohibited. Portable.
Precision: Single.
 
Usage    : CALL POLAR (IOPT, M, X, Y, Z, W, RAD, S, NUEST, NVEST, EPS, NU, TU, NV,
           TV, U, V, C, FP, WRK1, LWRK1, WRK2, LWRK2, IWRK, KWRK, IER)
 
See also : EVAPOL
 
Details  : Example Fullsource Source
Sites    : (1) NETLIB
 

Implementation of POLAR from DIERCKX on NETLIB

 
NETLIB:    Public access repository, The University of Tennessee at
           Knoxville and Bell Laboratories
 
Precision: Single.
 
You may access components from NETLIB outside GAMS as follows.
 
   Source       : echo 'send only polar from dierckx' | mail netlib@ornl.gov
   Fullsource   : echo 'send polar from dierckx' | mail netlib@ornl.gov
   Example      : echo 'send mnpola dapola from dierckx/ex' | mail
                  netlib@ornl.gov