Matrix Multiplication Mode for Multiple Inputs etc.

Gulzar Baig

2021 9 1

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I want to write a matlab .m function which can accept one-input or 3-inputs. The inputs can be:-

1 Input = [ND(3xMxN... or Mx3xN... or MxNx3...), 2D(Mx3, 3xN)]. ND can be reshaped to [3xNumber] or [Numberx3] which ever is applicable. The outputs can be 1 or 3.

3 Inputs = [ND, 2D or 1D]. The output can be 1 or 3.

Scenarios:

For 1 input: "should I transpose [3xNumber] to [Numberx3] and then perform matrix multiplication OR carry out out matrix multiplication separately i.e. one formula for row-matrix and another one for the column-matrix?

For 3 inputs: "should I perform operations on 3 inputs separately OR transform|permute|reshape them to [3xNumber] or [Numberx3] then perform multiplication and finally transform|permute|reshape to thier original dimensions as separate inputs.

I need Expert Opinion what method should I adopt such that the code complexity and computation cost are the lowest.