algorithm - OpenCL matrix reduction in two stages -

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i have 2d array of m x n entries.

a0 a1 a2 a3 a4 a5 ... b0 b1 b2 b3 b4 b5 ... bn ...

i want reduce array single value in 2 stages.

stage 1: calculate function values each item in row, , sum them weights.

a = w0*f(a0) + w1*f(a1) + w2*f(a2) + ... b = w0*f(b0) + w1*f(b1) + w2*f(b2) + ...

stage 2: compare results input vector , calculate chi-square value.

chi_sq = (a - x)^2/sx^2 + (b - y)^2/sy^2 + ...

i trying in parallel using opencl. however, have hard time figuring out best strategy kind of algorithm. example, there many examples out there loop on matrix rows, , many sources state should not this. kind outline how problem can solved optimally?


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