High relative accuracy with matrices of q‐integers
Copyright policy )High relative accuracy with matrices of q‐integers
AbstractThis article shows that the bidiagonal decomposition of many important matrices of q‐integers can be constructed to high relative accuracy (HRA). This fact can be used to compute with HRA the eigenvalues, singular values, and inverses of these matrices. These results can be applied to collocation matrices of q‐Laguerre polynomials, q‐Pascal matrices, and matrices formed by q‐Stirling numbers. Numerical examples illustrate the theoretical results.
- University of Zaragoza Spain
Numerical computation of eigenvalues and eigenvectors of matrices, bidiagonal decomposition, quantum orthogonal polynomials, total positivity, Numerical linear algebra, \(q\)-integers, high relative accuracy, quantum calculus, 510, 620
Numerical computation of eigenvalues and eigenvectors of matrices, bidiagonal decomposition, quantum orthogonal polynomials, total positivity, Numerical linear algebra, \(q\)-integers, high relative accuracy, quantum calculus, 510, 620
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