MATLAB: Simple Recurrence in Matlab

MATLABrecurrence

i have a question:

"Write a MATLAB program to compute wn for n = 1, 2, . . . , num where num is entered by the user, and display the values in two columns: n, wn (with appropriate headings)."

The recurrence for this question is W(0) = 25, Wn = W(n-1) +7 -(7*(n+1)/n) n ≥ 2

for the life of me i cant work out how to take this equation on matlab and take a "num" inputed by the user for the value of n

ie) n=1 W(1) = 25 + 7 – 14 = 18

n=2 W(2) = 18 + 7 – 10.5 = 14.5 and so on

Best Answer

N = 100 ;
W = zeros(N,1) ;
W(1) = 25 ;
for n = 2:N
    W(n) = W(n-1) +7 -(7*(n+1)/n)  ;
end

Related Solutions

MATLAB: Missing a Display command? Wrong syntax

N=input('Please enter a value of n: ');
W = zeros(N,1) ; 
W(1) = 25 ; 
for n = 2:N 
    W(n) = (W(n-1) +7) -(7*n/(n-1)) ; 
end
T = table ;
T.n = [1:N]' ;
T.W = W ;
T

MATLAB: Double indexed recurrence relation

I may be missing something but I don't understand the difficulty. Just use two loops:

maxn = 20;
v = rand;
p = zeros(maxn);
p(1,1) = 1;
for n = 1 : maxn-1
   for k = 1 : maxn  
         p(n+1, k) = p(n, k)*(1-v*k/n);
         if k > 1   %to account for p(~, 0) which is not valid index in matlab
              p(n+1, k) = p(n+1, k) + p(n, k-1)*v*(k-1)/n;
         end
   end
end

The rows of p are the values of n, the columns the values of k.

There may be a more efficient way of generating that matrix, without loops. I've not really looked into the details of your recurrence.

Best Answer

Related Solutions

MATLAB: Missing a Display command? Wrong syntax

MATLAB: Double indexed recurrence relation

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