Geodesic
Clusters of point matrices
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 11 (2008) no. 3, pp. 341-346 Cet article a éte moissonné depuis la source Math-Net.Ru

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Clusters of point matrices In this paper, in addition to classical orthogonal polynomials, we introduce the orthogonal polynomials of degree $n-1$ at $n$ points. They result from interpolational polynomials. The name "point matrices" is justified by the fact that we do not consider a class of similar or congruent matrices that play the key role in a linear space and connected with its bases. We consider matrices with a fixed set of nodes (or points) $x_1,\dots,x_n$. A certain matrix cluster corresponds to each set of nodes. A simple connection between eigenproblems of the Hunkel matrix $H$ and the symmetric Jacjbi matrix $T$ has been obtained. 
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Yu. I. Kuznetsov. Clusters of point matrices. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 11 (2008) no. 3, pp. 341-346. http://geodesic.mathdoc.fr/item/SJVM_2008_11_3_a7/

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