SolveMinNormLeastSqSystem

This module computes the minimal norm, least squared solution to a Nx3 linear system.

Detailed Description

Given four input ColumnMatrices (v0,v1,v2,b), it finds the three coefficients (w0,w1,w2) that minimize:

       | (w0v0 + w1v1 + w2v2) - b |

If more than one minimum exists (the system is under-determined), the coefficients such that (w0,w1,w2) has a minimum norm is selected.

The outputs are a vector (w0,w1,w2) as a row-matrix and the ColumnMatrix (called x), which is:

       [ w0v0 + w1v1 + w2v2 ]