Abstract
The operational matrix of piecewise linear polynomial functions is derived. Then the problems of analysis and parameter identification are studied on this piecewise linear polynomial basis. The algorithms proposed are analogous to those derived for the orthogonal functions. The piecewise polynomial basis has certain advantages and convenience over other orthogonal functions. Illustrative examples are given for demonstration. The satisfactory results are obtained owing to the rapid convergence property of the piecewise linear polynomial functions.
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