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Numerical stability of path tracing in polyhedral homotopy continuation methods

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Publication:1764148
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DOI10.1007/s00607-004-0070-6zbMath1061.65042OpenAlexW2025954226MaRDI QIDQ1764148

Sunyoung Kim, Kojima, Masakazu

Publication date: 23 February 2005

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00607-004-0070-6


zbMATH Keywords

numerical resultsnumerical stabilitypolyhedral homotopy continuation methodsPolynomial systempath tracing


Mathematics Subject Classification ID

Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).


Related Items (6)

PHoMpara-parallel implementation of the polyhedral homotopy continuation method for polynomial systems ⋮ Unmixing the mixed volume computation ⋮ Sampling algebraic sets in local intrinsic coordinates ⋮ Computing curve intersection by homotopy methods ⋮ A scaling algorithm for polynomial constraint satisfaction problems ⋮ HOM4PS-2.0: a software package for solving polynomial systems by the polyhedral homotopy continuation method


Uses Software

  • PHCpack
  • PoSSo



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