Representation of Multivariate Functions.
E. Ward Cheney · 1983
This research project concerned the general problem of how to represent (exactly or approximately) a given mathematical function of several real variables. Scientific computations often involve multivariate functions (i.e. functions of several variables). For efficiency in computing, these functions must be represented in a form which can be rapidly computed (to whatever precision is demanded by the task at hand). This usually means that the given function will be replaced by an easily-computed approximate function. Once an appropriate form has been selected for the approximating function, the task of determining the best function of that form arises. Also there are questions of existence of best approximations. (Author)