Results 41 to 50 of about 206,636 (137)
Normalized Leonard pairs and Askey–Wilson relations
Linear Algebra and its Applications, 2007 Let $V$ denote a vector space with finite positive dimension, and let $(A,B)$ denote a Leonard pair on $V$. As is known, the linear transformations $A,B$ satisfy the Askey-Wilson relations A^2B -bABA +BA^2 -g(AB+BA) -rB = hA^2 +wA +eI, B^2A -bBAB +AB^2 -h(AB+BA) -sA = gB^2 +wB +fI, for some scalars $b,g,h,r,s,w,e,f$.
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Leonard pairs and the q-Racah polynomials
Linear Algebra and its Applications, 2004 Let $K$ denote a field and let $V$ denote a vector space over $K$ with finite positive dimension. We consider an ordered pair of linear transformations $A:V\to V$ and $A^*:V\to V$ that satisfy conditions (i), (ii) below. (i) There exists a basis for $V$ with respect to which the matrix representing $A$ is irreducible tridiagonal and the matrix ...
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Learning Health SystemsIntroduction The rapid adoption of electronic health record (EHR) systems has resulted in extensive archives of data relevant to clinical research, hospital operations, and the development of learning health systems.
Andrea L. C. Schneider +25 more
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Universal behaviour of entrainment due to coherent structures in turbulent shear flow
, 2002 I suggest a solution to a persistent mystery in the physics of turbulent shear flows: cumulus clouds rise to towering heights, practically without entraining the ambient medium, while apparently similar turbulent jets in general lose their identity ...
A. J. Basu +20 more
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The switching element for a Leonard pair
Linear Algebra and its Applications, 2008 Let $V$ denote a vector space with finite positive dimension. We consider a pair of linear transformations $A : V \to V$ and $A^* : V \to V$ that satisfy (i) and (ii) below: (i) There exists a basis for $V$ with respect to which the matrix representing $A$ is irreducible tridiagonal and the matrix representing $A^*$ is diagonal.
Nomura, Kazumasa, Terwilliger, Paul
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Leonard pairs having specified end-entries
Linear Algebra and its Applications, 2015 arXiv admin note: substantial text overlap with arXiv:1408 ...
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Barnes Hospital Bulletin [PDF]
, 1980 https://digitalcommons.wustl.edu/bjc_barnes_bulletin/1175/thumbnail ...
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Leonard triples extended from a given totally almost bipartite Leonard pair of Bannai/Ito type
Linear Algebra and its Applications, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Yan, Hou, Bo, Gao, Suogang
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The end-parameters of a Leonard pair
Linear Algebra and its Applications, 2014 Fix an algebraically closed field $\F$ and an integer $d \geq 3$. Let $V$ be a vector space over $\F$ with dimension $d+1$. A Leonard pair on $V$ is a pair of diagonalizable linear transformations $A: V \to V$ and $A^* : V \to V$, each acting in an irreducible tridiagonal fashion on an eigenbasis for the other one.
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The determinant of AA∗–A∗A for a Leonard pair A, A∗
Linear Algebra and its Applications, 2006 11 ...
Nomura, Kazumasa, Terwilliger, Paul
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