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Bivariate polynomial multiplication patterns
1995Motivated by multiplication of numerical univariate polynomials with various kinds of truncation we study corresponding bivariate problems A(x, y)·B(x, y) = C(x, y) in the algebraic setting with indeterminate coefficients over suitable ground fields, counting essential multiplications only.
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Solving Multiple-Root Polynomials
IEEE Antennas and Propagation Magazine, 2009A given polynomial is transformed herein into a rational function. All the roots and multiplicities of the polynomial are then easily obtained from the poles and residues of this rational function, instead of solving for them directly using the original, high-degree multiple-root polynomial.
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Convolution and Polynomial Multiplication
1988Convolution, or digital filtering, is one of the most common operations used in modern signal processing. Aperiodic convolution can be expressed as a product of polynomials, and cyclic convolution, commonly used in block filtering techniques, is equivalent to a product in a polynomial ring.
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A Polynomial Membership Function Approach for Stability Analysis of Fuzzy Systems
IEEE Transactions on Fuzzy Systems, 2021Wen-Bo Xie, Hak-Keung Lam, Jian Zhang
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Simple Local Polynomial Density Estimators
Journal of the American Statistical Association, 2020Matias D Cattaneo, Michael Jansson
exaly
Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics
Annual Review of Fluid Mechanics, 2009Habib N Najm
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A Theoretical Development for the Computer Generation and Display of Piecewise Polynomial Surfaces
IEEE Transactions on Pattern Analysis and Machine Intelligence, 1980Richard F Riesenfeld
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