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Re-parameterization reduces irreducible geometric constraint systems

Abstract : You recklessly told your boss that solving a non-linear system of size n (n unknowns and n equations) requires a time proportional to n, as you were not very attentive during algorithmic complexity lectures. So now, you have only one night to solve a problem of big size (e.g., 1000 equations/unknowns), otherwise you will be fired in the next morning. The system is well-constrained and structurally irreducible: it does not contain any strictly smaller well-constrained subsystems. Its size is big, so the Newton–Raphson method is too slow and impractical. The most frustrating thing is that if you knew the values of a small number k<
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https://hal.archives-ouvertes.fr/hal-01205755
Contributor : Dominique Michelucci <>
Submitted on : Sunday, November 29, 2015 - 2:14:04 PM
Last modification on : Tuesday, May 12, 2020 - 10:49:12 AM
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Hichem Barki, Lincong Fang, Dominique Michelucci, Sebti Foufou. Re-parameterization reduces irreducible geometric constraint systems. Computer-Aided Design, Elsevier, 2016, 70, pp.182-192. ⟨10.1016/j.cad.2015.07.011⟩. ⟨hal-01205755⟩

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