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Accurate Bidiagonal Decomposition and Computations with Generalized Pascal Matrices.

Symmetry(2024)

Cited 2|Views9
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Abstract
This paper provides an accurate method to obtain the bidiagonal factorization of many generalized Pascal matrices, which in turn can be used to compute with high relative accuracy the eigenvalues, singular values and inverses of these matrices. Numerical examples are included.
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Key words
accurate computations,bidiagonal factorization,total positivity,Green matrix,generalized Green matrix
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