Verified error bounds for singular solutions of nonlinear systems
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Publication:747729
DOI10.1007/s11075-014-9948-3zbMath1328.65121OpenAlexW2000866927MaRDI QIDQ747729
Publication date: 19 October 2015
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-014-9948-3
verificationalgorithmnonlinear systemerror boundsnumerical experimentsingular solutionsborder systemsdeflations
Numerical computation of solutions to systems of equations (65H10) Polynomials, factorization in commutative rings (13P05) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05)
Related Items (4)
Verification of a low-degree polynomial vanishing at empirical points ⋮ A certified iterative method for isolated singular roots ⋮ Verified error bounds for eigenvalues of geometric multiplicity \(q\) and corresponding invariant subspaces ⋮ An improved verification algorithm for nonlinear systems of equations based on Krawczyk operator
Uses Software
Cites Work
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