Object forecasting has been a tedious task to be solved, such as money proposed. Initially, both approaches will be utilized system of linear equations to identify periodic components which will be extracted using arithmetic means from matrix multiplication. The resulting optimized approach will have fewer runtimes, less memory allocation, and larger scope of periods than the unoptimized one. Furthermore, the optimized approach with different implementation will also be discussed to show how the computational technique can impact the efficiency of the solution. Two testing models are involved in this paper: the correctness test by source-code submission to Sphere Online Judge, and the performance test by generating their chart of runtimes and standard deviation. These models have shown that the efficient implementation with optimized approach can be entitled as the first rank solution in Sphere Online Judge.
Matrix-Vector Multiplication, Data Extrapolation, Arithmetic Mean, Periodic Function, Central-Value.