Highest coefficients of weighted Ehrhart quasi-polynomials for a rational polytope [PDF]
, 2009 This paper has been withdrawn by the authors.
Baldoni, Velleda +2 more
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Sum of Squares Decompositions of Polynomials over their Gradient Ideals with Rational Coefficients
SIAM Journal on Optimization, 2023 Assessing non-negativity of multivariate polynomials over the reals, through the computation of {\em certificates of non-negativity}, is a topical issue in polynomial optimization. This is usually tackled through the computation of {\em sums-of-squares decompositions} which rely on efficient numerical solvers for semi-definite programming.
Magron, Victor +2 more
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Planar Polynomial Differential Systems of Degree One: Full Characterization of Its First Integrals
International Journal of Differential EquationsIn this work, we classify the first integrals of all planar polynomial differential systems of degree one with real constant coefficients. Additionally, we characterize when these first integrals are either polynomial, or rational, or nonalgebraic.
Bilal Ghermoul
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Necessary and Sufficient Conditions for the Existence of Rational Solutions to Homogeneous Difference Equations with Constant Coefficients [PDF]
Известия Иркутского государственного университета: Серия "Математика"A necessary and a sufficient condition for solvability of homogeneous difference equations with constant coefficients in the class of rational functions are obtained. The necessary condition is a restriction on the Newton polyhedron of the characteristic
P. V. Trishin
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ORTORECTIFICATION OF SPOT-4 DATA USING RATIONAL POLYNOMIAL COEFFICIENTS
International Journal of Remote Sensing and Earth Sciences (IJReSES), 2012 Orthorectification of satellite imagery can be done in two ways i.e., rigorous sensor model and the approximation model of the satellite’s orbit. Dependence on physicalparameters, to make rigorous sensor model is more complicated and difficult to apply.
Danang Surya Candra +1 more
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Rational Polynomial Coefficient Estimation via Adaptive Sparse PCA-Based Method
Remote SensingThe Rational Function Model (RFM) is composed of numerous highly correlated Rational Polynomial Coefficients (RPCs), establishing a mathematical relationship between two-dimensional images and three-dimensional spatial coordinates.
Tianyu Yan, Yingqian Wang, Pu Wang
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Algebraic Numbers Satisfying Polynomials with Positive Rational Coefficients [PDF]
Journal of Numbers, 2014 A theorem of Dubickas, affirming a conjecture of Kuba, states that a nonzero algebraic number is a root of a polynomial f with positive rational coefficients if and only if none of its conjugates is a positive real number. A certain quantitative version of this result, yielding a growth factor for the coefficients of f similar to the condition of the ...
Vichian Laohakosol, Suton Tadee
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A diagrammatic approach to Kronecker squares [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 In this paper we improve a method of Robinson and Taulbee for computing Kronecker coefficients and show that for any partition $\overline{ν}$ of $d$ there is a polynomial $k_{\overline{ν}}$ with rational coefficients in variables $x_C$, where $C$ runs ...
Ernesto Vallejo
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RELATIVE GEOMETRIC CORRECTION OF MULTIPLE SATELLITE IMAGES BY RIGOROUS BLOCK ADJUSTMENT [PDF]
The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2023 With the development of satellite imaging technology, many Earth observation satellites have been launched and almost all areas of the Earth are daily covered by satellite images.
S. Ban, T. Kim
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Structured Low-rank Approximation as a Rational Function Minimization [PDF]
, 2012 Many problems of system identification, model reduction and signal processing can be posed and solved as a structured low-rank approximation problem (SLRA).
Markovsky, Ivan, Usevich, Konstantin
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