Maslov dequantization and the homotopy method for solving systems of nonlinear algebraic equations

DOI10.1134/S0001434608010227zbMath1149.14046OpenAlexW2094685222MaRDI QIDQ948577

B. Kh. Kirshtein

Publication date: 16 October 2008

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434608010227

zbMATH Keywords

complex rootsGräffe--Lobachevski methodMaslov's dequantizationtropical equationstropical surface

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Computational aspects of algebraic surfaces (14Q10) Numerical computation of solutions to single equations (65H05) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Real algebraic and real-analytic geometry (14P99)

Cites Work

• The noncommutative Markovian property
• Laurent determinants and arrangements of hyperplane amoebas
• Idempotent mathematics: a correspondence principle and its applications to computing
• A Polyhedral Method for Solving Sparse Polynomial Systems
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