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\vskip 1cm{\LARGE\bf Comparing Two Matrices of Generalized \\
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Moments Defined by Continued Fraction 
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Expansions} \vskip 1cm \large
Paul Barry\\
School of Science\\
Waterford Institute of Technology\\
Ireland\\
\href{mailto:pbarry@wit.ie}{\tt pbarry@wit.ie} \\

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\begin{abstract}
We study two matrices $N$ and $M$ defined by the parameters of
equivalent $S$- and $J$-continued fraction expansions, and compare them
by examining the product $N^{-1}M$. Using examples based on the Catalan
numbers, the little Schr\"oder numbers and powers of $q$, we indicate
that this matrix product is an object worthy of study. In the case of
the little Schr\"oder numbers, we find that the matrix $N$ has an
interleaved structure based on two Riordan arrays.
\end{abstract}