Accurate computations with Wronskian matrices of Bessel and Laguerre polynomials
DOI10.1016/j.laa.2022.04.004zbMath1493.15054OpenAlexW4224135740WikidataQ114151643 ScholiaQ114151643MaRDI QIDQ2135529
B. Rubio, Juan Manuel Peña, Esmeralda Mainar
Publication date: 9 May 2022
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2022.04.004
Laguerre polynomialstotally positive matricesBessel polynomialshigh relative accuracybidiagonal decompositionsWronskian matrices
Factorization of matrices (15A23) Theory of matrix inversion and generalized inverses (15A09) Eigenvalues, singular values, and eigenvectors (15A18) Roundoff error (65G50) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Direct numerical methods for linear systems and matrix inversion (65F05) Linear equations (linear algebraic aspects) (15A06) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)
Uses Software
Cites Work
- Bessel polynomials
- Applications of the Wronskian and Gram matrices of \(\{t^ j \exp(\lambda_ k t)\}\)
- Total positivity and Neville elimination
- A matricial description of Neville elimination with applications to total positivity
- Accurate computation of the Moore-Penrose inverse of strictly totally positive matrices
- Critical length for design purposes and extended Chebyshev spaces
- Accurate computations with collocation and Wronskian matrices of Jacobi polynomials
- Accurate computations with Wronskian matrices
- Accurate algorithms for Bessel matrices
- Accurate computations of matrices with bidiagonal decomposition using methods for totally positive matrices
- Accurate Computations with Totally Nonnegative Matrices
- Accurate Eigenvalues and SVDs of Totally Nonnegative Matrices
- Totally positive matrices
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