Product of vector elements where the vector has a large size
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I want to find the nth root of a product for all elements of a vector V having a large size (1064 elements) given as follows.
However, it gives me the answer Inf. Is there any alternative way in matlab to calculate the nth root of the product, where n=length(V)? Thanks.
clear
V = [64 64 256 64 64 64 64 64 256 256 4 4 4 16 16 4 4 4 16 16 64 16 16 16 4 4 16 4 4 16 16 4 16 4 4 16 4 4 4 16 16 64 64 0.250000000000000 0.250000000000000 1 0.250000000000000 0.250000000000000 0.250000000000000 0.250000000000000 0.250000000000000 1 1 4 4 4 16 16 4 4 4 4 4 16 4 4 4 4 4 4 4 4 4 4 4 16 4 4 16 4 4 4 4 4 16 16 64 64 64 256 256 4 4 4 16 16 4 16 4 16 64 64 0.250000000000000 0.250000000000000 0.250000000000000 1 1 4 4 4 4 4 4 16 4 4 16 16 64 64 4 16 16 0.250000000000000 0.250000000000000 4 4 4 64 16 0.250000000000000 4 16 16 64 64 256 64 64 256 4 16 4 16 64 4 4 4 16 16 64 0.250000000000000 1 0.250000000000000 0.250000000000000 1 4 16 4 4 16 4 4 4 4 4 16 64 64 4 16 16 0.250000000000000 0.250000000000000 4 4 4 64 16 0.250000000000000 4 16 16 64 64 4 4 16 4 4 4 4 4 16 16 4 4 4 16 16 4 4 4 16 16 64 4 16 4 4 16 4 4 4 16 16 64 64 64 64 256 64 64 256 256 64 256 256 64 128 128 512 64 64 128 64 64 128 128 64 256 256 64 128 128 512 512 4 4 4 16 16 4 16 4 16 64 64 4 16 16 4 8 8 8 8 32 32 4 4 4 8 8 4 16 4 8 32 32 128 8 8 8 4 4 8 4 4 8 8 4 4 4 16 16 4 4 4 8 8 32 4 4 4 16 16 4 4 4 8 8 32 32 4 16 4 4 16 4 16 4 16 64 64 4 16 16 16 16 64 4 8 8 32 4 4 4 8 8 4 16 4 8 32 32 128 128 4 4 16 4 4 4 4 4 16 16 4 4 4 16 16 4 4 4 4 4 16 4 16 4 4 16 4 4 4 4 4 16 16 0.250000000000000 0.250000000000000 1 0.250000000000000 0.250000000000000 1 1 0.250000000000000 1 1 0.250000000000000 0.500000000000000 0.500000000000000 2 0.250000000000000 0.250000000000000 0.500000000000000 0.250000000000000 0.250000000000000 0.500000000000000 0.500000000000000 0.250000000000000 1 1 0.250000000000000 0.500000000000000 0.500000000000000 2 2 4 4 4 16 16 4 16 4 4 16 16 4 16 16 4 8 8 8 8 32 32 4 4 4 8 8 4 4 4 8 8 8 32 8 8 8 4 4 8 4 4 8 8 4 4 4 4 4 4 4 4 8 8 8 4 4 4 4 4 4 4 4 8 8 8 8 4 16 4 4 16 4 16 4 4 16 16 4 16 16 16 16 64 4 8 8 32 4 4 4 8 8 4 4 4 8 8 8 32 32 64 64 64 256 256 4 4 4 16 16 4 16 4 16 64 64 0.250000000000000 0.250000000000000 0.250000000000000 1 1 4 4 4 4 4 4 16 4 4 16 16 64 256 4 16 64 0.250000000000000 1 4 4 16 64 16 0.250000000000000 4 16 64 64 4 4 4 16 16 4 16 4 16 64 64 64 256 256 64 128 128 128 128 512 512 4 4 4 8 8 4 16 4 8 32 32 4 16 64 16 16 64 4 8 32 128 128 4 4 4 16 16 4 16 4 4 16 16 0.250000000000000 1 1 0.250000000000000 0.500000000000000 0.500000000000000 0.500000000000000 0.500000000000000 2 2 4 4 4 8 8 4 4 4 8 8 8 4 16 16 16 16 64 4 8 8 32 32 4 4 4 16 16 64 64 64 128 128 4 16 4 8 32 32 4 4 4 4 4 0.250000000000000 0.250000000000000 0.250000000000000 0.500000000000000 0.500000000000000 4 4 4 8 8 8 64 16 0.250000000000000 4 16 4 16 64 128 32 4 4 0.250000000000000 0.500000000000000 8 32 32 128 8 8 8 4 4 16 4 4 16 16 64 64 64 64 64 128 64 64 128 128 4 4 4 16 16 4 4 4 8 8 32 4 4 4 16 16 4 4 4 8 8 32 32 8 8 8 4 4 4 4 4 4 4 0.250000000000000 0.250000000000000 0.250000000000000 0.250000000000000 0.250000000000000 0.500000000000000 0.250000000000000 0.250000000000000 0.500000000000000 0.500000000000000 4 4 4 4 4 4 4 4 8 8 8 4 4 4 4 4 4 4 4 8 8 8 8 64 64 4 16 16 0.250000000000000 0.250000000000000 4 4 4 64 16 0.250000000000000 4 16 16 4 4 4 16 16 64 64 64 128 128 4 16 4 8 32 32 4 4 4 4 4 0.250000000000000 0.250000000000000 0.250000000000000 0.500000000000000 0.500000000000000 4 4 4 8 8 8 32 64 64 4 16 16 0.250000000000000 0.250000000000000 4 4 4 64 16 0.250000000000000 4 16 16 4 4 4 16 16 64 64 64 128 128 4 16 4 8 32 32 4 4 4 4 4 0.250000000000000 0.250000000000000 0.250000000000000 0.500000000000000 0.500000000000000 4 4 4 8 8 8 32 32 64 256 64 64 256 4 16 4 16 64 4 4 4 16 16 64 0.250000000000000 1 0.250000000000000 0.250000000000000 1 4 16 4 4 16 4 4 4 4 4 16 64 256 4 16 64 0.250000000000000 1 4 4 16 64 16 0.250000000000000 4 16 64 64 4 16 4 4 16 4 16 4 16 64 64 64 256 256 256 256 1024 64 128 128 512 4 16 64 16 16 64 4 8 32 128 4 4 4 8 8 4 16 4 8 32 32 128 4 16 4 4 16 4 16 4 4 16 16 0.250000000000000 1 1 1 1 4 0.250000000000000 0.500000000000000 0.500000000000000 2 4 16 16 16 16 64 4 8 8 32 4 4 4 8 8 4 4 4 8 8 8 32 4 4 4 16 16 64 64 64 128 128 4 16 4 8 32 32 4 4 4 4 4 0.250000000000000 0.250000000000000 0.250000000000000 0.500000000000000 0.500000000000000 4 4 4 8 8 8 64 16 0.250000000000000 4 16 4 16 64 128 32 4 4 0.250000000000000 0.500000000000000 8 32 32 128];
length(V)
nthroot(prod(V),length(V))
Moreover, the following code fails to provide a number different from "Inf".
clear
V = [64 64 256 64 64 64 64 64 256 256 4 4 4 16 16 4 4 4 16 16 64 16 16 16 4 4 16 4 4 16 16 4 16 4 4 16 4 4 4 16 16 64 64 0.250000000000000 0.250000000000000 1 0.250000000000000 0.250000000000000 0.250000000000000 0.250000000000000 0.250000000000000 1 1 4 4 4 16 16 4 4 4 4 4 16 4 4 4 4 4 4 4 4 4 4 4 16 4 4 16 4 4 4 4 4 16 16 64 64 64 256 256 4 4 4 16 16 4 16 4 16 64 64 0.250000000000000 0.250000000000000 0.250000000000000 1 1 4 4 4 4 4 4 16 4 4 16 16 64 64 4 16 16 0.250000000000000 0.250000000000000 4 4 4 64 16 0.250000000000000 4 16 16 64 64 256 64 64 256 4 16 4 16 64 4 4 4 16 16 64 0.250000000000000 1 0.250000000000000 0.250000000000000 1 4 16 4 4 16 4 4 4 4 4 16 64 64 4 16 16 0.250000000000000 0.250000000000000 4 4 4 64 16 0.250000000000000 4 16 16 64 64 4 4 16 4 4 4 4 4 16 16 4 4 4 16 16 4 4 4 16 16 64 4 16 4 4 16 4 4 4 16 16 64 64 64 64 256 64 64 256 256 64 256 256 64 128 128 512 64 64 128 64 64 128 128 64 256 256 64 128 128 512 512 4 4 4 16 16 4 16 4 16 64 64 4 16 16 4 8 8 8 8 32 32 4 4 4 8 8 4 16 4 8 32 32 128 8 8 8 4 4 8 4 4 8 8 4 4 4 16 16 4 4 4 8 8 32 4 4 4 16 16 4 4 4 8 8 32 32 4 16 4 4 16 4 16 4 16 64 64 4 16 16 16 16 64 4 8 8 32 4 4 4 8 8 4 16 4 8 32 32 128 128 4 4 16 4 4 4 4 4 16 16 4 4 4 16 16 4 4 4 4 4 16 4 16 4 4 16 4 4 4 4 4 16 16 0.250000000000000 0.250000000000000 1 0.250000000000000 0.250000000000000 1 1 0.250000000000000 1 1 0.250000000000000 0.500000000000000 0.500000000000000 2 0.250000000000000 0.250000000000000 0.500000000000000 0.250000000000000 0.250000000000000 0.500000000000000 0.500000000000000 0.250000000000000 1 1 0.250000000000000 0.500000000000000 0.500000000000000 2 2 4 4 4 16 16 4 16 4 4 16 16 4 16 16 4 8 8 8 8 32 32 4 4 4 8 8 4 4 4 8 8 8 32 8 8 8 4 4 8 4 4 8 8 4 4 4 4 4 4 4 4 8 8 8 4 4 4 4 4 4 4 4 8 8 8 8 4 16 4 4 16 4 16 4 4 16 16 4 16 16 16 16 64 4 8 8 32 4 4 4 8 8 4 4 4 8 8 8 32 32 64 64 64 256 256 4 4 4 16 16 4 16 4 16 64 64 0.250000000000000 0.250000000000000 0.250000000000000 1 1 4 4 4 4 4 4 16 4 4 16 16 64 256 4 16 64 0.250000000000000 1 4 4 16 64 16 0.250000000000000 4 16 64 64 4 4 4 16 16 4 16 4 16 64 64 64 256 256 64 128 128 128 128 512 512 4 4 4 8 8 4 16 4 8 32 32 4 16 64 16 16 64 4 8 32 128 128 4 4 4 16 16 4 16 4 4 16 16 0.250000000000000 1 1 0.250000000000000 0.500000000000000 0.500000000000000 0.500000000000000 0.500000000000000 2 2 4 4 4 8 8 4 4 4 8 8 8 4 16 16 16 16 64 4 8 8 32 32 4 4 4 16 16 64 64 64 128 128 4 16 4 8 32 32 4 4 4 4 4 0.250000000000000 0.250000000000000 0.250000000000000 0.500000000000000 0.500000000000000 4 4 4 8 8 8 64 16 0.250000000000000 4 16 4 16 64 128 32 4 4 0.250000000000000 0.500000000000000 8 32 32 128 8 8 8 4 4 16 4 4 16 16 64 64 64 64 64 128 64 64 128 128 4 4 4 16 16 4 4 4 8 8 32 4 4 4 16 16 4 4 4 8 8 32 32 8 8 8 4 4 4 4 4 4 4 0.250000000000000 0.250000000000000 0.250000000000000 0.250000000000000 0.250000000000000 0.500000000000000 0.250000000000000 0.250000000000000 0.500000000000000 0.500000000000000 4 4 4 4 4 4 4 4 8 8 8 4 4 4 4 4 4 4 4 8 8 8 8 64 64 4 16 16 0.250000000000000 0.250000000000000 4 4 4 64 16 0.250000000000000 4 16 16 4 4 4 16 16 64 64 64 128 128 4 16 4 8 32 32 4 4 4 4 4 0.250000000000000 0.250000000000000 0.250000000000000 0.500000000000000 0.500000000000000 4 4 4 8 8 8 32 64 64 4 16 16 0.250000000000000 0.250000000000000 4 4 4 64 16 0.250000000000000 4 16 16 4 4 4 16 16 64 64 64 128 128 4 16 4 8 32 32 4 4 4 4 4 0.250000000000000 0.250000000000000 0.250000000000000 0.500000000000000 0.500000000000000 4 4 4 8 8 8 32 32 64 256 64 64 256 4 16 4 16 64 4 4 4 16 16 64 0.250000000000000 1 0.250000000000000 0.250000000000000 1 4 16 4 4 16 4 4 4 4 4 16 64 256 4 16 64 0.250000000000000 1 4 4 16 64 16 0.250000000000000 4 16 64 64 4 16 4 4 16 4 16 4 16 64 64 64 256 256 256 256 1024 64 128 128 512 4 16 64 16 16 64 4 8 32 128 4 4 4 8 8 4 16 4 8 32 32 128 4 16 4 4 16 4 16 4 4 16 16 0.250000000000000 1 1 1 1 4 0.250000000000000 0.500000000000000 0.500000000000000 2 4 16 16 16 16 64 4 8 8 32 4 4 4 8 8 4 4 4 8 8 8 32 4 4 4 16 16 64 64 64 128 128 4 16 4 8 32 32 4 4 4 4 4 0.250000000000000 0.250000000000000 0.250000000000000 0.500000000000000 0.500000000000000 4 4 4 8 8 8 64 16 0.250000000000000 4 16 4 16 64 128 32 4 4 0.250000000000000 0.500000000000000 8 32 32 128];
Product_V=1;
for i=1:length(V)
Product_V = Product_V.*V(i); % product of V's elements
end
length(V)
Product_V
nthroot( Product_V,length(V))
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