C Changes

C.1 Changes from version 0.4 to 0.5

A new routine PDA_SUMSL has been added which performs unconstrained minimisation allowing gradients to be supplied in addition to function values.

C.2 Changes from version 0.3 to 0.4

• The use of the higher level ERR and MSG error reporting libraries within PDA has been replaced by use of the lower level EMS library (see section 7).
• The following areas have had new routines added:
  • Matrices.
  • Minimisation.
  • Normal distribution.
  • Pseudo-random numbers.
  • Simple statistics.
  • Sorting.
  • Two-dimensional interpolation and fitting.

  The new routines are:

  PDA_BISPEV

  - Evaluates the bivariate spline approximation found by PDA_SURFIT.

  PDA_CHE2D

  - Evaluates a 2-dimensional Chebyshev polynomial

  PDA_COVMAT

  - Approximates the covariance matrix of normal order statistics.

  PDA_DB2INK

  - Deterimines a piecewise polynomial function that interpolates 2-D gridded data.

  PDA_DB2VAL

  - Evaluates the function found by PDA_DB2INK.

  PDA_DCOV

  - Calculates the covariance matrix for a nonlinear data fitting problem.

  PDA_DNLS1

  - Minimises the sum of squares of M non-linear functions.

  PDA_DNLS1E

  - Minimises the sum of squares of M non-linear functions (easy version).

  PDA_DQED

  - Solves bounded nonlinear least squares and nonlinear equations.

  PDA_IDBVIP

  - Performs 2-D bivariate interpolation on irregularly scattered data.

  PDA_IDSFFT

  - Performs smooth surface fitting on irregular data.

  PDA_IPERM

  - Forms the inverse of a permutation.

  PDA_LSQR

  - Solves sparse unsymmetric linear, and damped, least squares problems.

  PDA_NSCOR

  - Calculates the approximate expected values of normal order statistics.

  PDA_PPND16

  - Returns the normal deviate corresponding to a given lower tail area of P.

  PDA_QSAx

  - Sort an array into ascending order.

  PDA_QSDx

  - Sort an array into descending order.

  PDA_QSIAx

  - Sort an array of pointers to access an array in ascending order.

  PDA_QSIDx

  - Sort an array of pointers to access an array in descending order.

  PDA_RAND

  - Returns pseudo-random numbers in the range 0 to 1.

  PDA_RNEXP

  - Returns pseudo-random numbers from an exponential distribution.

  PDA_RNGAM

  - Returns pseudo-random numbers from a gamma distribution.

  PDA_RNNOR

  - Returns pseudo-random numbers from a Gaussian distribution.

  PDA_RNPOI

  - Returns pseudo-random numbers from a Poisson distribution.

  PDA_RNSED

  - Sets the seed for the PDA random-number generators.

  PDA_RINP

  - Reorders an array in place using a permutation index.

  PDA_SAAC

  - Sorts the columns of a two dimensional array into ascending order.

  PDA_SAAR

  - Sorts the rows of a two dimensional array into ascending order.

  PDA_SURFIT

  - Find a bivariate spline approximation to irregularly spaced 2-D data.

  PDA_V11

  - Calculates an approximation to the variance of the largest normal order statistic.