Global positioning: the uniqueness question and a new solution method

DOI10.1016/J.AAM.2024.102741MaRDI QIDQ6614405

Mireille Boutin, Gregor Kemper

Publication date: 7 October 2024

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

GPSmultilaterationTDOATOApseudorangesquadrics of revolutionglobal positioning problem

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Mathematical programming (90Cxx) Euclidean analytic geometry (51N20) Computational aspects in algebraic geometry (14Qxx) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25)

Cites Work

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• GPS localization problem: a new model and its global optimization
• On the Solution of the GPS Localization and Circle Fitting Problems
• A Course in Commutative Algebra
• A comprehensive analysis of the geometry of TDOA maps in localization problems

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