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rgdtsmcore

PURPOSE ^

%@deftypefn {Function File} {[@var{yhat}, @var{v}] =} rgdtsmcore (@var{x}, @var{y}, @var{d}, @var{lambda}, [@var{options}])

SYNOPSIS ^

function [yhat, v] = rgdtsmcore (x, y, d, lambda, varargin)

DESCRIPTION ^

% -*- texinfo -*-
%@deftypefn {Function File} {[@var{yhat}, @var{v}] =} rgdtsmcore (@var{x}, @var{y}, @var{d}, @var{lambda}, [@var{options}])
%
% Smooths @var{y} vs. @var{x} values by Tikhonov regularization.
% Although this function can be used directly, the more feature rich
% function 'regdatasmooth' should be used instead.  In addition to
% @var{x} and @var{y}, required input includes the smoothing derivative
% @var{d} and the regularization parameter @var{lambda}.  The smooth
% y-values are returned as @var{yhat}.  The generalized cross
% validation variance @var{v} may also be returned.
%
% Note:  the options have changed~
% Currently supported input options are (multiple options are allowed):
%
%@table @code
%@item 'xhat', @var{vector}
% A vector of x-values to use for the smooth curve; must be
% monotonically increasing and must at least span the data
%@item 'weights', @var{vector}
% A vector of weighting values for fitting each point in the data.
%@item 'relative'
% use relative differences for the goodnes of fit term.  Conflicts
% with the 'weights' option.
%@item 'midpointrule'
% use the midpoint rule for the integration terms rather than a direct
% sum; this option conflicts with the option 'xhat'
%@end table
%
% References:  Anal. Chem. (2003) 75, 3631; AIChE J. (2006) 52, 325
%@end deftypefn

CROSS-REFERENCE INFORMATION ^

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