The purpose of this short communication is to illustrate the use of co
nditional maximization (CM) in chemometric applications. The CM algori
thm is useful in reducing the computational complexity when a high-dim
ensional and complicated maximization problem arises from fitting chem
ometric models. It can also be efficiently combined with the expectati
on-maximization (EM) algorithm for handling incomplete data, a problem
that sometimes arises when only a part of the intended data can be co
llected. Three models from fluorescence spectroscopy are used for illu
stration.