The authors propose mixed and componentwise condition numbers for a general continuous map \(F\) at a point \(a\), and consider special cases when \(F\) is the map of the matrix inversion or of the solution of a linear system. Further they define structured condition numbers and give a detailed application to Vandermonde matrices. An a priori bound derived indicates that the structured condition number of the inverse of a Vandermonde matrix can be much smaller than the usual condition number.