Results 151 to 160 of about 523 (176)

Groebner-basis solution of the three-dimensional resection problem (P4P)

Journal of Geodesy, 2003
The three-dimensional (3-D) resection problemis usually solved by first obtaining the distancesconnecting the unknown point {X; Y ; Z} to the known points {Xi; Yi; Zi}/ i= 1, 2, 3 through the solution of the three nonlinear Grunert equations and then ...
Joseph L Awange, E W Grafarend, Grafarend E W   +2 more
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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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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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Application of Groebner Basis Methodology to Nonlinear Mechanics Problems

2014
The application of the Groebner basis methodology to four nonlinear mechanics problems is discussed. The MAPLE software package is used in all cases to implement the Groebner basis calculation which converts a set of coupled polynomial algebraic equations into an equivalent set of uncoupled polynomial algebraic equations (the reduced Groebner basis ...
Y. Jane Liu, John Peddieson
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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.
José Joaquín Bernal, Juan Jacobo Simón   +1 more
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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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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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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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The application of the Groebner Basis technique in power flow study

41st North American Power Symposium, 2009
Power flow study is one of the most dominant subjects in the field of power system. This paper applies the Groebner Basis (GB) technique to solve power flow problem. The GB technique is a systematic mathematical tool to solve nonlinear polynomial algebraic equations.
Jiaxin Ning, Wenzhong Gao, Ghadir Radman, Jane Liu   +3 more
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Evaluation of Groebner Basis Methodology as an Aid to Harmonic Balance

Journal of Vibration and Acoustics, 2013
A preliminary exploration is carried out of the utility of the Groebner basis method for implementing the harmonic balance analysis of nonlinear steady state vibrations. The method is found to be worthy of further investigation.
Jane Liu, John Peddieson
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