Optimal iterate of the power and inverse iteration methods

DOI10.1016/j.apnum.2008.10.004zbMath1162.65330OpenAlexW1973369131MaRDI QIDQ1021623

Faezeh Toutounian, Davod Khojasteh Salkuyeh

Publication date: 8 June 2009

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2008.10.004

zbMATH Keywords

round-off errorCESTAC methodpower methodinverse iteration methodCADNA librarycommon significant digits

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Roundoff error (65G50)

Related Items (max. 100)

A reliable algorithm to check the accuracy of iterative schemes for solving nonlinear equations: an application of the CESTAC method ⋮ Dynamical strategy on homotopy perturbation method for solving second kind integral equations using the CESTAC method ⋮ Approximate Calculation of Sums II: Gaussian Type Quadrature ⋮ Valid implementation of sinc-collocation method to solve the fuzzy Fredholm integral equation

Uses Software

• CADNA

Cites Work

• Dynamical control of converging sequences computation
• CADNA: a library for estimating round-off error propagation
• A dynamical strategy for approximation methods
• New methods for evaluating the validity of the results of mathematical computations
• Discrete stochastic arithmetic for validating results of numerical software
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Optimal iterate of the power and inverse iteration methods