Error estimates for quadrature rules based on the Arnoldi process

DOI10.1016/J.CAM.2023.115726MaRDI QIDQ6489242

Miroslav S. Pranić, Hanan Almutairi, Lothar Reichel

Publication date: 19 April 2024

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

quadrature ruleArnoldi processmatrix function approximation

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Numerical computation of matrix exponential and similar matrix functions (65F60)

Cites Work

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• Generalized averaged Gauss quadrature rules for the approximation of matrix functionals
• Estimates for the bilinear form \(x^T A^{-1} y\) with applications to linear algebra problems
• Gauss-Kronrod quadrature formulae. A survey of fifty years of research
• Simplified anti-Gauss quadrature rules with applications in linear algebra
• A method for numerical integration on an automatic computer
• A breakdown-free Lanczos type algorithm for solving linear systems
• Practical error estimation in numerical integration
• Numerical methods for the QCDd overlap operator. I: Sign-function and error bounds
• Enhanced matrix function approximation
• The Lanczos algorithm and complex Gauss quadrature
• Analysis of directed networks via the matrix exponential
• Estimations of the trace of powers of positive self-adjoint operators by extrapolation of the moments
• A note on generalized averaged Gaussian formulas
• New matrix function approximations and quadrature rules based on the Arnoldi process
• Moments of a linear operator, with applications to the trace of the inverse of matrices and the solution of equations
• Network Properties Revealed through Matrix Functions
• On Efficient Numerical Approximation of the Bilinear Form $c^*A^{-1}b$
• On generalized averaged Gaussian formulas
• Nonlinearly Preconditioned Krylov Subspace Methods for Discrete Newton Algorithms
• A Breakdown-Free Variation of the Nonsymmetric Lanczos Algorithms
• Quadrature Rules Based on the Arnoldi Process
• Block Gauss and Anti-Gauss Quadrature with Application to Networks
• Functions of Matrices
• Stopping functionals for Gaussian quadrature formulas
• Lanczos-based exponential filtering for discrete ill-posed problems

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