## Name

plq_min — Piecewise linear quadratic (plq), Minimum function

## Calling Sequence

    [plqm, minf] = plq_min(plqf, plqg)

## Parameters

plqf

  matrix. One of the plq functions to compute the minimum of.

plqg

  matrix. The other plq function to compte the minimum of.

plqm

  matrix. A plq function equal to the minimum of plqf and plqg.

minf

  matrix. Specifies the intervals over which each function was the minimum.

## Description

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Creates a plq function representing the minimum of plqf and plqg for all x values. This function runs in O(m+n) time and returns a plq function containing O(m+n) pieces, where m and n are the number of pieces in plqf and plqg, respectively.

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## Examples

    plqf = [-1,0,-1,-1;%inf,0,1,1];
    plqg = [1,0,-1,1;%inf,0,1,-1];
    plqm = plq_min(plqf, plqg),
    clf(); plq_plotMultiple(-4, 4, plqf, plqg, plqm);

    plqf = [%inf,1,0,0];
    plqg = [0,0,-3,-1;%inf,0,3,-1];
    plqm = plq_min(plqf, plqg),
    clf(); plq_plotMultiple(-4, 4, plqf, plqg, plqm);

## See Also

plq_function

## Authors

`Bryan Gardiner`, University of British Columbia, BC, Canada

## Used Functions

plq_oploop is used to iterate over the intervals and construct the minimum.