Interval Newton iteration in multiple precision for the univariate case
From MaRDI portal
Publication:1418860
DOI10.1023/B:NUMA.0000005354.92791.41zbMath1035.65051OpenAlexW2037317065MaRDI QIDQ1418860
Publication date: 14 January 2004
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/b:numa.0000005354.92791.41
numerical examplesnonlinear equationsarbitrary accuracyinterval Newton algorithmautomatic adaptation of the precisionmultiple precision interval arithmetic
Interval and finite arithmetic (65G30) Numerical computation of solutions to single equations (65H05) Algorithms with automatic result verification (65G20)
Related Items
Real quantifier elimination for the synthesis of optimal numerical algorithms (case study: square root computation), A new global optimization algorithm for signomial geometric programming via Lagrangian relaxation, Efficient and accurate computation of upper bounds of approximation errors, An algorithm for computing a neighborhood included in the attraction domain of an asymptotically stable point, Derivative free inclusion methods for polynomial zeros, Efficient Simplification Techniques for Special Real Quantifier Elimination with Applications to the Synthesis of Optimal Numerical Algorithms, Motivations for an arbitrary precision interval arithmetic and the MPFI library, Numerical enclosures of the optimal cost of the Kantorovitch's mass transportation problem
Uses Software
