plq_plotpa - Piecewise linear quadratic (plq), plot convex proximal average

Calling Sequence

plq_plotpa(plqf1, plqf2, x, lset, rect)

plq_plotpa(plqf1, plqf2, x, lset, rect, isConvex)

Parameters

• plqf1 : matrix. The first function of the proximal average (lambda=0).
• plqf2 : matrix. The second function of the proximal average (lambda=1).
• x : column vector. The points at which to evaluate the proximal average.
• lset : column vector. The lambda values at which to plot the proximal average.
• rect : row vector. [xmin,ymin,xmax,ymax] for the plot window as with plot2d.
• isConvex : boolean, optional. Whether or not plqf1 and plqf2 are both convex. Defaults to %t.

Description

For each lambda in lset, plots the proximal average of two PLQ functions over the provided x values. The rect argument bounds the plot's visible region and is required. All of the proximal averages are plotted on the same graph, and the colours of successive PA's fade from blue (lambda=0) to red (lambda=1) via jetcolormap.

Examples

plqf1 = [2,1,0,0;%inf,0,0,%inf];
plqf2 = [3,0,0,%inf;4,0,-1,4;%inf,0,1,-4];
x = linspace(-3, 7, 100)';
lset = 0:0.01:1;
rect = [-3,0,7,10];
plq_plotpa(plqf1, plqf2, x, lset, rect);
plot2d(x, [plq_eval(plqf1, x), plq_eval(plqf2, x)]);
a = gca();
a.children(1).children(1).thickness = 5;
a.children(1).children(2).thickness = 5;
  

See Also

plq_function,  

Author

Bryan Gardiner, University of British Columbia, BC, Canada