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@COMMENT{BibTeX export based on data in FAU CRIS: https://cris.fau.de/}
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@incollection{faucris.255658889,
abstract = {This chapter considers the known techniques to solve (systems of) nonlinear polynomial equations. After giving a historical overview of the topic, we describe algorithms to solve univariate polynomials of high degree. The remainder of the chapter deals with algorithms to solve systems of nonlinear multivariate polynomials. We describe the XL algorithm, give a short introduction into the theory of GrÃ¶bner bases and present the most important algorithms to compute these bases. After analyzing the complexity of these algorithms against various types of multivariate polynomial systems, we end this chapter by giving an overview of the known algorithms used to solve over and underdetermined systems of multivariate quadratic equations.},
address = {New York},
author = {Ding, Jintai and Petzoldt, Albrecht and Schmidt, Dieter S.},
booktitle = {Multivariate Public Key Cryptosystems},
doi = {10.1007/978-1-0716-0987-3{\_}8},
editor = {Jintai Ding, Albrecht Petzoldt, Dieter S. Schmidt},
faupublication = {yes},
isbn = {978-1-0716-0987-3},
note = {CRIS-Team Scopus Importer:2021-04-19},
pages = {185-248},
peerreviewed = {unknown},
publisher = {Springer},
series = {Advances in Information Security},
title = {{Solving} polynomial systems},
volume = {80},
year = {2020}
}