Results 111 to 120 of about 4,395 (144)

GROEBNER BASIS SOLUTION OF PLANAR RESECTION PROBLEM

Survey Review, 2002
Abstract The three nonlinear planar resection equations are usually solved analytically by first solving for the unknown orientation σ in the horizontal plane in a three-step procedure. The .first step is the elimination step, the second step is the division step and the third step is once again elimination step.
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Application of Groebner Basis Methodology to Nonlinear Static Cable Analysis

Journal of Offshore Mechanics and Arctic Engineering, 2013
The governing equations for large deflections of cables have a highly nonlinear and coupled nature, which precludes exact analytical solutions except in a few simplified cases. The present study demonstrates the utility of Groebner Basis methodology in facilitating the construction of approximate analytical and semianalytical Galerkin solutions in the ...
Y. Jane Liu, George R. Buchanan, John Peddieson   +2 more
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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.
Awange, Joseph, Palancz, B., Lewis, R.
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Gro¨bner basis strategies in regression

Journal of Applied Statistics, 2000
The Grobner basis method in experimental design (Pistone & Wynn, 1996) is developed in a practical setting. The computational algebraic techniques (Grobner bases in particular) are coupled with statistical strategies and the links to more standard approaches made.
GIGLIO, RICCOMAGNO, EVA, H. P. WYNN
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Numerical stability and stabilization of Groebner basis computation

Proceedings of the 2002 international symposium on Symbolic and algebraic computation, 2002
In this paper we consider the problem of the use of approximate arithmetics in Grobner basis computation. This is useful to reduce the cost of integer arithmetic, but is especially necessary for overdetermined systems whose coefficients are only approximately known.We report on some numerical experiments, that show that the intrinsic instability of the
TRAVERSO, CARLO, ZANONI ALBERTO
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Multi-Valued Model Checking via Groebner Basis Approach

First Joint IEEE/IFIP Symposium on Theoretical Aspects of Software Engineering (TASE '07), 2007
The management of uncertainty and imprecision is becoming essential for modeling many real problems. Multivalued model checking, a generalization of classical model checking, is useful for analyzing models that contain uncertainty or inconsistency. This paper shows that Groebner bases can provide canonical symbolic representations for multi-valued ...
Jinzhao Wu, Lin Zhao
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Groebner Basis for Polynomials with Parametric Exponents

2008 International Conference on Computational Sciences and Its Applications, 2008
For some classes of singularities there exist defining equations with parametric coefficients and exponents. We can treat these defining equation with parametric exponents as sequences and calculate their Grobner bases. Grobner bases are useful for clarifying the structure of the parameters of the defining equation, which will enable us to discover ...
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Integer Programming With Groebner Basis

2007
VCU Theses and ...
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Gröbner Basis Methods in Polynomial Modelling

1998
The Grobner basis (G-basis) method in the design of experiments was introduced by Pistone & Wynn (1996) and followed up by several strands of work one in particular addressing real practical applications: Holliday, Pistone, Riccomagno & Wynn (1997). This paper continues this latter series.
R. A. BATES, B. GIGLIO, RICCOMAGNO, EVA, H. P. WYNN   +3 more
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Information sets in abelian codes: defining sets and Groebner basis

Designs, Codes and Cryptography, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bernal, José Joaquín, Simón, Juan Jacobo   +1 more
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