Double summation with nested sum

I need to write this in Matlab. I need some help.Thanks in advance.

Answer 1

[Image Analyst]

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Break it into 3 parts. A function to compute the first sum, a function to compute the second sum, and a script to call those two functions and subtract them and square them and do it 29 times, then add the final terms. Shouldn't be too hard. Show your work if you get stuck

s3 = 0;
for i = 2 : 30
    s1 = sum1(x); % Call function sum1().
    s2 = sum2(x); % Call function sum2().
    s3 = s3 + (s1 - s2^2 - 1)^2;
end
s4 = s3 + x(1)^2 + (.......... etc.

[Ali Moghanni]

Thank you very much, I wrote the code.

Answer 2

[Walter Roberson]

V = @(M) M(:);
part1 = sum(bsxfun( @times, V(x(2:30)), 1:9 ) .*  bsxfun(@power, (1:29).'/29, 0:8 ), 2);
part2 = sum(bsxfun( @times, V(x(2:30)), bsxfun(@power, (1:29).'/29, 1:9 )), 2).^2;
part3 = sum((part1 - part2 - 1).^2);
result = part3 + x(1).^2 + (x(2) - x(1).^2 - 1).^2;