Mathematics of Arrays Computations for Embedded Systems Applications

In this paper, the Mathematic of Arrays (MoA) approach to solving complex multi-dimensional array computations using array indexing is considered with reference in its implementation in code targeting embedded systems applications using software programmed microcontrollers. The array computations, memory access, and communications requirements are considered with application to different software programming/scripting languages. The ideas can then be extended to realizations as digital logic circuit descriptions using Hardware Description Languages (HDLs). With reference to a range of tensor products for rank 2 tensors, the MoA derived algorithm is presented in different code formats.