sub-gradients - reg

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Kallam Haranadha Reddy
回答： Walter Roberson 2018-12-25
clear all
close all
clc
f1=zeros(1,100);
f2=zeros(1,100);
f3=zeros(1,200);
c1=randi([1,20],1,100);
c2=randi([1,20],1,100);
y(1,1:200)=rand(1,200);
f1(1,1:100)=[y(1,1:100).*c1];
f2(1,1:100)=[y(1,101:200).*c2];
f3(1,1:200)=horzcat(f1,f2);
g1=zeros(1,100);
g2=zeros(1,100);
g1=gradient(f1,y(1:100));
g2=gradient(f2,y(101:200));
g=horzcat(g1,g2);
my question is whether g1 and g2 are sub-gradients of f1 and f2 respectively in the above code
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Walter Roberson
Walter Roberson 2018-12-24
What is a "sub gradient" ?
Kallam Haranadha Reddy
Kallam Haranadha Reddy 2018-12-25
sub gradient method as used in lagrangian decomposition and lagrangian relaxation algorithms

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Walter Roberson
Walter Roberson 2018-12-25
my question is whether g1 and g2 are sub-gradients of f1 and f2 respectively in the above code
No. Lagrangian sub-gradient methods apply to functions, but you do not have functions.
gradient() applied to numeric matrices is numeric differences, and the second and following arguments give the step sizes.

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