Finding the nearest node in this case

I am trying to find nearest node from the fixed node.

so here is the code

x1=  [16,38,56,78,45]; 
y1 =[23,62,77,56,34];
x2 = 100*rand(20,1);
x2= 150*rand(20,1);
for i = 1:5
text(x1(i),y1(i),num2str(i))
end
for i= 1:20
text(x2(i), y2(i),num2str(i));
end

Now i have to find out the nearest node of [x1,y1] w.r.t [x2,y2]

Objective find out which 10nodes from [x2,y2] are near to the [x1,y1] node

Answer 1

[Walter Roberson]

pdist2

[Sushree Patra]

Thank you sir for the response. But pdist2 is calculate the distance btween two sets . How it will find neighbor node of [x1,y1]

[Bruno Luong]

Select set 1 contains the first point set 2 contains the other points.

[Walter Roberson]

let the first set be just the one point . Then min() on the result

[Sushree Patra]

Thank you sir for the response.

can you please explain how to use that min() in my code

means if

x1=16
y1=23
x2=100*rand(20,1)
y2=100*rand(20,1)

then which pont of that random number of 1-20 is nearest (16,23) coordinator point.

[Walter Roberson]

  dd = pdist2([x1 y1], [x2 y2]);
  [~, idx] = min(dd);
  xclosest = x2(idx);
  yclosest = y2(idx);

... I feel like I just did someone's homework for them because they did not read the documentation .

[Sushree Patra]

Thank you very much sir Walter for you response and Solutions.

Well, Sir these quarries are related to my project based on Global optimization by using free search krill herd algorithm and opposition based learning.

As I am new to the Matlab and joined before 1 to 2 months seek help to implement my problem.

Much Appreciated

Thank you