In my particular case, we've got a db table that, among other fields, has an "Image" field. We'd like to append ".jpg" to every row in this table for this column. To keep it simple we'll say it just has two columns...an ID column and an Image column. (bonus points for skipping rows that have an empty string for "Image".)
The question title is a bit more open ended because I can imagine someone wanting to just about anything to all rows. ("update all rows so that column 'X' has its values divided by 2", "update all rows so that column 'Y' is prepended with this path", etc.)
Although I'm using SQL server, I suspect that the answers will be pretty universal...but if your particular answer is not, don't let that stop you from responding...but please do add in your post what system it is for.