Enhanced matrix function approximation

zbMath1392.65019MaRDI QIDQ1744313

Nasim Eshghi, Miodrag M. Spalević, Lothar Reichel

Publication date: 23 April 2018

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://etna.mcs.kent.edu/volumes/2011-2020/vol47/abstract.php?vol=47&pages=197-205

zbMATH Keywords

Gauss quadraturematrix functionsymmetric Lanczos process

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Numerical quadrature and cubature formulas (65D32) Numerical computation of matrix exponential and similar matrix functions (65F60)

Related Items (3)

New matrix function approximations and quadrature rules based on the Arnoldi process ⋮ Estimating the error in matrix function approximations ⋮ Orthogonal expansion of network functions

Cites Work

• Error bounds and estimates for Krylov subspace approximations of Stieltjes matrix functions
• Generalized averaged Gauss quadrature rules for the approximation of matrix functionals
• Gauss-Kronrod quadrature formulae. A survey of fifty years of research
• Truncated generalized averaged Gauss quadrature rules
• Quadrature rule-based bounds for functions of adjacency matrices
• A note on generalized averaged Gaussian formulas
• Error Estimates and Evaluation of Matrix Functions via the Faber Transform
• Solution of Large Scale Evolutionary Problems Using Rational Krylov Subspaces with Optimized Shifts
• On Generating Orthogonal Polynomials
• On Krylov Subspace Approximations to the Matrix Exponential Operator
• Functions of Matrices
• Lanczos-based exponential filtering for discrete ill-posed problems
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