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Groebner Basis in Geodesy and Geoinformatics

, 2014
In geodesy and geoinformatics, most problems are nonlinear in nature and often require the solution of systems of polynomial equations. Before 2002, solutions of such systems of polynomial equations, especially of higher degree remained a bottleneck, with iterative solutions being the preferred approach.
Joseph L. Awange, Béla Paláncz, Robert H. Lewis   +2 more
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Computing mobility condition using Groebner basis

Mechanism and Machine Theory, 2015
A mechanism is a set of rigid links interconnected together with ideal joints and featuring at least one degree of freedom. An overconstrained mechanism is mobile provided the links' dimensions fulfill a certain relation named the “mobility condition”. The dimensions are not independent from each other and the goal is to obtain this mobility condition.
Philippe Serre
exaly   +3 more sources

Groebner basis, resultants and the generalized Mandelbrot set

Chaos, Solitons and Fractals, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Young Hee Geum, Kevin G Hare
exaly   +2 more sources

Integer Programming With Groebner Basis

, 2007
VCU Theses and ...
Ginn, Isabella Brooke
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Computation of Time Optimal Feedback Control Using Groebner Basis

IEEE Transactions on Automatic Control, 2014
The synthesis of time optimal feedback control of a single input continuous time linear time invariant (LTI) system is considered. If the control input u(t) is constrained to obey |u(t)| ≤ 1, then it is known that the optimal input switches between the extreme values ±1, according to some “switching surfaces” in the state space.
Deepak U. Patil, Debraj Chakraborty 0001
openaire   +3 more sources