An Interval Step Control for Continuation Methods
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Publication:4305439
DOI10.1137/0731048zbMath0809.65050OpenAlexW1974585479MaRDI QIDQ4305439
Zhaoyun Xing, Ralph Baker Kearfott
Publication date: 26 March 1995
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0731048
algorithmsnumerical resultspredictor-corrector methodinterval arithmeticscontinuation methodsstep control
Numerical computation of solutions to systems of equations (65H10) Interval and finite arithmetic (65G30) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20)
Related Items (14)
Nonlinear numerics ⋮ About tracing problems in dynamic geometry ⋮ Polyhedral homotopies in Cox coordinates ⋮ On continuation methods for non-linear bi-objective optimization: towards a certified interval-based approach ⋮ Robust certified numerical homotopy tracking ⋮ Using monodromy to avoid high precision in homotopy continuation ⋮ A Robust Numerical Path Tracking Algorithm for Polynomial Homotopy Continuation ⋮ Mixed precision path tracking for polynomial homotopy continuation ⋮ On the use of predictor-corrector continuation to trace implicitly defined curves and calculating bifurcation ⋮ A robust and efficient method for solving point distance problems by homotopy ⋮ A new framework for sharp and efficient resolution of NCSP with manifolds of solutions ⋮ Galois groups of Schubert problems via homotopy computation ⋮ Exclusion regions for parameter-dependent systems of equations ⋮ Nonlinear Numerics
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