plq_conv_on_interval - Piecewise linear quadratic (plq), two-piece convexity on interval

Calling Sequence

plqco = plq_conv_on_interval(f1,f2,x1,x3,x5)

Parameters

• f1 : One row of a plq function, on the interval (x1,x3].
• f2 : The next row of the plq function, on the interval (x3,x5].
• x1 : The open lower bound of f1.
• x3 : The closed lower bound of f1, and the open upper bound of f2.
• x5 : The closed upper bound of f2.
• plqco : A plq function that is the convex hull of f1 and f2 on (x1,x5].

Description

Takes two adjacent pieces of a plq function, and the intervals over which they are defined, and returns a plq function that is defined over the domain of both of the pieces, and is the convex hull of both of the pieces.

Examples

plqf = [1,1,0,0; 4,0,0,1]; 
f1 = plqf(1,:);
f2 = plqf(2,:);
x1=-2.5;
x3=f1(1,1);
x5=f2(1,1);
result = plq_conv_on_interval(f1,f2,x1,x3,x5); // [0.1270167,1,0,0; 4,0,0.2540333,-0.0161332]
plq_plot(plqf, result, -2.5, 4);
  

See Also

plq_co,  plq_function,  

Author

Bryan Gardiner, University of British Columbia, BC, Canada