Modifications of the interval-Newton-method with improved asymptotic efficiency

DOI10.1007/BF02510404zbMath0915.65040OpenAlexW1986645904MaRDI QIDQ1279689

W. Völker, Florian A. Potra, G. E. Alefeld

Publication date: 16 June 1999

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02510404

zbMATH Keywords

asymptotic efficiencyinterval arithmeticnonlinear equationsinterval Newton method

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Numerical computation of solutions to single equations (65H05) Complexity and performance of numerical algorithms (65Y20)

Related Items (2)

On an iterative algorithm of order 1.839\(\dots\) for solving the nonlinear least squares problems ⋮ Unnamed Item

Uses Software

• RROOT_748
• Algorithm 748
• BRENT

Cites Work

• On an iterative algorithm of order 1.839… for solving nonlinear operator equations^∗)
• Algorithm 748: enclosing zeros of continuous functions
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