On generating Sobolev orthogonal polynomials
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Publication:6193844
DOI10.1007/s00211-023-01379-3arXiv2302.10691OpenAlexW4388084951MaRDI QIDQ6193844
Publication date: 19 March 2024
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2302.10691
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)
Cites Work
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- On Sobolev orthogonal polynomials
- The numerically stable reconstruction of Jacobi matrices from spectral data
- Sensitivity of the Lanczos recurrence to Gaussian quadrature data: how malignant can small weights be?
- Polynomial interpolation results in Sobolev spaces
- The numerically stable reconstruction of a Jacobi matrix from spectral data
- Zero location and \(n\)th root asymptotics of Sobolev orthogonal polynomials
- Pseudozeros of polynomials and pseudospectra of companion matrices
- Zeros of Sobolev orthogonal polynomials following from coherent pairs
- The characterization of the quasi-typical extension of an inner product
- On Fourier series of a discrete Jacobi--Sobolev inner product
- Orthogonal matrix polynomials and higher-order recurrence relations
- Computing orthogonal polynomials in Sobolev spaces
- Laguerre-Sobolev orthogonal polynomials
- Accurate recovery of recursion coefficients from Gaussian quadrature formulas
- The Lanczos algorithm and complex Gauss quadrature
- Generation of orthogonal rational functions by procedures for structured matrices
- Confluent Vandermonde with Arnoldi
- Jacobi-Sobolev orthogonal polynomials and spectral methods for elliptic boundary value problems
- Numerical methods for general and structured eigenvalue problems.
- Balancing a matrix for calculation of eigenvalues and eigenvectors
- Higher-order recurrence relations, Sobolev-type inner products and matrix factorizations
- On the stability of computing polynomial roots via confederate linearizations
- Generation and Use of Orthogonal Polynomials for Data-Fitting with a Digital Computer
- Necessary and Sufficient Conditions for the Existence of a Conjugate Gradient Method
- Discrete Least Squares Approximation by Trigonometric Polynomials
- Structured inverse eigenvalue problems
- Computing the Roots of Complex Orthogonal and Kernel Polynomials
- Eine Erweiterung des Orthogonalitätsbegriffes bei Polynomen und deren Anwendung auf die beste Approximation.
- Fast QR Decomposition of Vandermonde-Like Mmatrices and Polynomial Least Squares Approximation
- On Recurrence Relations for Sobolev Orthogonal Polynomials
- Multiple Recursion Conjugate Gradient Algorithms Part I: Sufficient Conditions
- Vandermonde with Arnoldi
- Functions of Matrices
- Convergence Analysis of Krylov Subspace Iterations with Methods from Potential Theory
- Roots of Polynomials Expressed in Terms of Orthogonal Polynomials
- The Lanczos and Conjugate Gradient Algorithms
- Calculation of Gauss Quadrature Rules
- The principle of minimized iterations in the solution of the matrix eigenvalue problem
- Fast algorithms using orthogonal polynomials
- Sobolev orthogonal polynomials in the complex plane
- Analytic aspects of Sobolev orthogonal polynomials revisited
- On computing modified moments for half-range Hermite weights