Polynomial and algebraic computation
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Scope of this subject
This cluster of papers covers topics in symbolic computing, including efficient algorithms for solving polynomial systems, Gröbner bases computation, tropical geometry, and applications in cryptography such as cryptanalysis of various cryptosystems. It also explores numerical methods for algebraic geometry and the use of max-plus algebra in certain computational problems.
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Research vocabulary
symbolic computation; Gröbner bases; polynomial systems; polynomial factorization; polynomial equations; multivariate polynomials; polynomial ideals; Buchberger's algorithm; univariate polynomials; quantifier elimination; resultant; polynomial root finding; computational algebra; elimination theory; computational algebraic geometry; polynomial system solving; real algebraic geometry; cylindrical algebraic decomposition; semialgebraic sets; homotopy continuation; polynomial division; numerical algebraic geometry; tropical semiring; sparse polynomials; polynomial GCD
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Numeric address and provenance
Morton address: 36183006758733023 · morton4x16-v1
Coordinates: (3, 17, 1703, 11435). The address interleaves categorical identifier bits. Nearby addresses are not guaranteed to describe semantically similar subjects.
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