…
►With the process of solution can then be regarded as first solving the equation for (forward
elimination), followed by the solution of for (back substitution).
…
►Because of rounding errors, the residual vector
is nonzero as a rule.
…
►
…
►In the case that the orthogonality condition is replaced by -orthogonality, that is, , , for some positive definite matrix with Cholesky decomposition , then the details change as follows.
…
►
…
►The generators of a given lattice are not unique.
…where are integers, then , are generators of iff
…
►When the functions are related by
…
►When it is important to display the lattice with the functions they are denoted by , , and , respectively.
…
►If , is any pair of generators of , and is defined by (23.2.1), then
…
…
►Abramowitz and Stegun (1964, Tables 22.4, 22.6, 22.11, and 22.13) tabulates , , , and for .
The ranges of are for and , and for and .
…
►For , , and see §3.5(v).
…