This analysis presents bidiagonal factorings of symmetric matrices derived from Stirling cycle numbers, suggesting new insights into combinatorial structures.
Stirling cycle numbers and Stirling partition numbers have many combinatorial applications. A symmetric matrix built from Stirling cycle numbers, which is known to be totally nonnegative, appears as https://oeis.org/A137854 in the Online Encyclopedia of Integer Sequences. In this paper we give analytical bidiagonal factorings of these matrices.
No takes yet. Share an insight, caveat, or question.
Corless et al. (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: