Quantum annealing for systems of polynomial equations
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DOI: 10.1038/s41598-019-46729-0
Abstract: Numerous scientific and engineering applications require numerically solving systems of equations. Classically solving a general set of polynomial equations requires iterative solvers, while linear equations may be solved either by direct matrix inversion or iteratively… read more here.
Keywords: quantum annealing; systems polynomial; annealing systems; polynomial equations ... See more keywords
Galois theory for general systems of polynomial equations
Sign Up to like & getrecommendations! Published in 2019 at "Compositio Mathematica"
DOI: 10.1112/s0010437x18007868
Abstract: We prove that the monodromy group of a reduced irreducible square system of general polynomial equations equals the symmetric group. This is a natural first step towards the Galois theory of general systems of polynomial… read more here.
Keywords: system; systems polynomial; general systems; theory general ... See more keywords