Results 1 to 10 of about 118 (114)
Factoring polynomials with rational coefficients [PDF]
Mathematische Annalen, 1982 This paper describes a polynomial-time algorithm for the factorization of primitive polynomials \(f\in \mathbb Z[X]\) into irreducible factors. The number of bit operations used by the algorithm is \(O(n^{12} + n^9(\log \vert f\vert)^3)\), where \(n\) is the degree of \(f\) and \(\vert \sum_i a_iX^i \vert = (\sum_i a_i^2)^{1/2})\).
H W Lenstra, L Lovasz
exaly +5 more sources
SOLVING THE RATIONAL POLYNOMIAL COEFFICIENTS BASED ON L CURVE [PDF]
The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2018 The rational polynomial coefficients (RPC) model is a generalized sensor model, which can achieve high approximation accuracy. And it is widely used in the field of photogrammetry and remote sensing.
G. Zhou +6 more
doaj +3 more sources
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
doaj +2 more sources
The Interval Rational- Interpolation Method
Fuzzy Optimization and Modeling, 2022 The rational interpolation sometimes gives better approximations than polynomial interpolation particularly for large sequence of points. In this paper, for the first time we provide a combination of rational interpolation and interval data.
Hajar Rasekhinezhad +4 more
doaj +1 more source
Remote Sensing, 2022 The high-precision geometric positioning of optical remote sensing satellites is the prerequisite to determine the application capability of satellite image products.
Qingyang Li +5 more
doaj +1 more source
Assessment of geometric correction of remote sensing satellite images using RPC versus GCP [PDF]
Journal of Engineering Science and Military Technologies, 2018 Geometric distortions are common problems when dealing with remote sensing satellite images. Therefore, geometric correction is a necessary process for preparing remote sensing satellite images for many applications.
Mohamed Soliman +4 more
doaj +1 more source
Radiometric Terrain Correction Method Based on RPC Model for Polarimetric SAR Data
Remote Sensing, 2023 Radiometric terrain correction (RTC) is an important preprocessing step for synthetic aperture radar (SAR) data application in mountainous areas. At present, the RTC processing of SAR depends on the Range Doppler (RD) positioning model.
Lei Zhao +4 more
doaj +1 more source
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
doaj +1 more source
Advances in Mathematical Physics, 2022 This paper investigates the combined damped sinusoidal oscillation solutions to the 3+1-D variable-coefficient (VC) generalized nonlinear wave equation. The bilinear form is considered in terms of Hirota derivatives. Accordingly, we utilize a binary Bell
Xiuwang Wang +5 more
doaj +1 more source
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
openaire +1 more source