Affine transformations of a sharp tridiagonal pair

DOI10.1016/J.LAA.2014.08.012zbMath1297.05263OpenAlexW2067610413MaRDI QIDQ741498

Bo Hou, Suo-gang Gao, Long-Mei Yang

Publication date: 12 September 2014

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2014.08.012

zbMATH Keywords

sharpaffine transformationtridiagonal pairparameter arraytridiagonal system

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Canonical forms, reductions, classification (15A21)

Cites Work

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• A classification of sharp tridiagonal pairs
• Sharp tridiagonal pairs
• Leonard pairs from 24 points of view.
• Affine transformations of a Leonard pair
• Two linear transformations each tridiagonal with respect to an eigenbasis of the other

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