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<p>Large and little Schröder matrices as well as with their inverses are triangular matrices arising in Combinatorics. Through their total positivity and bidiagonal decomposition it is shown that their singular values, inverses and some associated linear systems can be solved with high relative accuracy. Numerical experiments confirm the theoretical results.</p>

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Accurate computations with Riordan arrays associated with Schröder matrices

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年4月16日

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  • Jorge Ballarín,
  • Jorge Delgado,
  • Juan Manuel Peña

摘要

Large and little Schröder matrices as well as with their inverses are triangular matrices arising in Combinatorics. Through their total positivity and bidiagonal decomposition it is shown that their singular values, inverses and some associated linear systems can be solved with high relative accuracy. Numerical experiments confirm the theoretical results.