NDLI: Block Jacobi Matrices and Zeros of Multivariate Orthogonal Polynomials

Content Provider	Scilit
Author	Xu, Yuan
Copyright Year	1994
Description	A commuting family of symmetric matrices are called the block Jacobi matrices, if they are block tridiagonal. They are related to multivariate orthogonal polynomials. We study their eigenvalues and joint eigenvectors. The joint eigenvalues of the truncated block Jacobi matrices correspond to the common zeros of the multivariate orthogonal polynomials.
Related Links	https://www.ams.org/tran/1994-342-02/S0002-9947-1994-1258289-7/S0002-9947-1994-1258289-7.pdf
Ending Page	866
Page Count	12
Starting Page	855
ISSN	00029947
e-ISSN	10886850
DOI	10.2307/2154656
Journal	Transactions of the American Mathematical Society
Issue Number	2
Volume Number	342
Language	English
Publisher	Duke University Press
Publisher Date	1994-04-01
Access Restriction	Open
Subject Keyword	Mathematical Physics Jacobi Matrices Polynomials Orthogonal Zeros of Multivariate Joint Eigenvalues Block Jacobi Correspond
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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Block Jacobi Matrices and Zeros of Multivariate Orthogonal Polynomials