A new numerical scheme for computing balancing coordinate transformations in linear systems theory is presented. The method is closely related to the Jacobi method for diagonalizing symmetric matrices. Here the minimization of the sum of traces of the Gramians by orthogonal and nonorthogonal Jacobi-
โฆ LIBER โฆ
A Jacobi-Type Method for Computing Orthogonal Tensor Decompositions
โ Scribed by Martin, Carla D. Moravitz; Van Loan, Charles F.
- Book ID
- 118211707
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2008
- Tongue
- English
- Weight
- 239 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0895-4798
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Let {Sn}n denote a sequence of polynomials orthogonal with respect to the Sobolev inner product where ยฟ 0 and {d 0; d 1} is a so-called coherent pair with at least one of the measures d 0 or d 1 a Jacobi measure. We investigate the asymptotic behaviour of Sn(x), for n โ +โ and x รฟxed, x โ C \ [ -1;