While FastA is actually just a fast approximation to the Smith-Waterman algorithm, it is slower and more sensitive than the BLAST algorithm because FastA tolerates gaps in the aligned sequences.
Process:
In the first step of this search, the comparison can be viewed as a set of many dot plots
with the query sequence on the vertical axis and each sequence in the database on the
horizontal axis of
its particular plot.
Set a word size. (A word is a short sequence of nucleotides. A word
of size 2 could be, for instance, gg.) Place a dot wherever words of this size
match.
For example, if the query sequence were ggctttcgg and the database sequence were
aacggcttacg, you would get the following plot:
In the second step, rescore the 10 best diagonals using a scoring matrix that allows and takes into account conservative replacements and ambiguity symbols shorter than the size of a word. This analysis finds high scoring subregions within the diagonals, called "initial regions."
In step three, take the initial regions whose scores are above a predetermined threshold and check to see if they can be joined together. Impose a penalty on joined regions so that joined pieces have lower scores than continuous runs.
Finally, use a variant of the last part of the Smith-Waterman algorithm to align the sequence and calculate the optimal score.
If the optimal score is above a certain threshold, place the sequence in the match list.