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- Paul Peart, Wen-Jin Woan
- 2000

When the Hankel matrix formed from the sequence 1, a 1 , a 2 , ... has an LDL T decomposition, we provide a constructive proof that the Stieltjes matrix S L associated with L is tridiagonal. In the important case when L is a Riordan matrix using ordinary or exponential generating functions, we determine the specific form that S L must have, and we… (More)

- Paul Peart, Wen-Jin Woan
- 2001

A Dyck path of length 2n is a path in two-space from (0, 0) to (2n, 0) which uses only steps (1, 1) (northeast) and (1, −1) (southeast). Further, a Dyck path does not go below the x-axis. A peak on a Dyck path is a node that is immediately preceded by a northeast step and immediately followed by a southeast step. A peak is at height k if its y-coordinate is… (More)

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