6 Dec
2020
6 Dec
'20
10:33 a.m.
What *is* the actual goal — to find the most efficient algorithm to convert the expression A1 Z B1 + A2 Z B2 + A3 Z B3 + ... into a + bi + cj + dk (i.e., to determine a, b, c, d)??? Or something else? —Dan
On Sunday/6December/2020, at 8:12 AM, Henry Baker <hbaker1@pipeline.com> wrote:
A classic problem with quaternion equations is how to 'simplify' *linear* sums such as A1 Z B1 + A2 Z B2 + A3 Z B3 + ..., where Ai, Bi, Z are all general quaternions.
The game here is to avoid converting quaternion equations into sets of linear equations by appealing to an existing 4D coordinate system -- e.g., 1,I,J,K.