Description Usage Arguments Details Value Author(s) Examples
Generate a 3x3 orthogonal matrix using the Gram-Schmidt algorithm.
1 | GramSchmidt(v1, v2, v3, order = 1:3)
|
v1, v2, v3 |
Three length 3 vectors (taken as row vectors). |
order |
The precedence order for the vectors; see Details. |
This function orthogonalizes the matrix rbind(v1, v2, v3)
using the Gram-Schmidt algorithm. It can handle rank 2 matrices
(returning a rank 3 matrix). If the original is rank 1, it is likely
to fail.
The order
vector determines the precedence of the original
vectors. For example, if it is c(i, j, k)
, then row i
will be unchanged (other than normalization); row j
will
normally be transformed within the span of rows i
and j
.
Row k
will be transformed orthogonally to the span of
the others.
A 3x3 matrix whose rows are the orthogonalization of the original row vectors.
Duncan Murdoch
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