Results 221 to 230 of about 3,063 (257)

Estimation of rational polynomial coefficients based on singular value decomposition

Journal of Applied Remote Sensing, 2018
The rational function model (RFM) has been widely used in space-borne photogrammetry owing to its simplicity and generality. One of the key issues for using the RFM is to robustly estimate the rational polynomial coefficients (RPCs). However, owing to over-parameterization of the RFM, estimating the RPCs is an ill-posed problem.
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Indicial rational functions of linear ordinary differential equations with polynomial coefficients

Journal of Mathematical Sciences, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abramov, S. A., Ryabenko, A. A.
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Nested Regression Based Optimal Selection (NRBOS) of Rational Polynomial Coefficients

Photogrammetric Engineering & Remote Sensing, 2014
Although the rational function model (RFM) is widely applied in photogrammetry, the application of terrain-dependent RFM is limited because of the requirement for numerous ground control points (GCPs) and the strong correlation between the coefficients.
Long Tengfei, Jiao Weili, He Guojin
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Logic Synthesis from Polynomials with Coefficients in the Field of Rationals

2023 IEEE 53rd International Symposium on Multiple-Valued Logic (ISMVL), 2023
Bhavani Sampathkumar, Bailey Martin, Ritaja Das, Priyank Kalla, Florian Enescu   +4 more
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Rational solutions of linear differential and difference equations with polynomial coefficients

USSR Computational Mathematics and Mathematical Physics, 1989
Linear differential and difference equations whose coefficients and right-hand sides are polynomials are considered. The problem of constructing all rational solutions of an equation is solved.
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Reducible Rational Fractions of the type of Gaussian Polynomials with only Non-Negative Coefficients

Canadian Mathematical Bulletin, 1978
The following problem arose in connection with the study of Poincaré polynomials for homogeneous spaces. Letgi hi positive integers and set d = (h1, h1,…, hk), the greatest common divisors of the exponents in the denominator. Let hi = dri and assume that the ri′s are comprime in pairs, i.e.
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On the relative power of polynomials with real, rational, and integer coefficients in proofs of termination of rewriting

Applicable Algebra in Engineering, Communication and Computing, 2006
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Recurrence relations with rational coefficients for multiple orthogonal polynomials determined by the rodrigues formula

Proceedings of the Steklov Institute of Mathematics, 2011
The paper under review deals with multiple orthogonal polynomials, which are denominators of a sequence of Hermite-Padé approximants for a system of four functions. This paper is closely related with [\textit{D. V. Khristoforov}, Proc. Steklov Inst. Math. 272, S142--S151; translation from Sovrem. Probl. Mat. 9, 11--26 (2007; Zbl 1308.41014)].
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Automatic Determination of Optimal Regularization Parameter in Rational Polynomial Coefficients Derivation

2012
Recently, massive archives of ground information are provided by imagery from new sensors. To establish the functional relationship between image and ground space, sensor models are required. The rational functional model (RFM), which is used as an alternative to rigorous sensor model, becomes attractive due to its generality and simplicity.
Junhee Youn, Tae-Hoon Kim, Changhee Hong, Jung-Rae Hwang   +3 more
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Number Theoretic Applications of Polynomials with Rational Coefficients Defined by Extremality Conditions

1983
It is well known that classes of polynomials in one variable defined by various extremality conditions play an extremely important role in complex analysis. Among these classes we find orthogonal polynomials (especially classical orthogonal polynomials expressed as hypergeometric polynomials) and polynomials least deviating from zero on a given ...
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