Abstract:
Two basic dual trigonometric series relations
involving a countable infinite number of unknowns are
considered for the determination of the unknowns. The
numerical values of the unknowns are determined with the
help of the methods of algebraic least-squares approximation
and singular value decomposition. The dual trigonometric
series and the corresponding functions are compared
with the existing results. The errors are also computed to
show the efficiency of these methods. The study indicates
that the method of algebraic least squares is more
straightforward, simpler and computationally more efficient
as compared to the available methods.
