Results 91 to 100 of about 5,932 (309)
Iterative methods for multiple zeros of a polynomial by clustering [PDF]
, 1989 For the numerical determination of zeros of a complex polynomial by simultaneous iterative methods, we show theorems on the fact that the approximations for a multiple zero gather around the exact zero when they become close approximations.
Miyakoda, Tsuyako
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Zeros of Jones Polynomials of Graphs
The Electronic Journal of Combinatorics, 2015 In this paper, we introduce the Jones polynomial of a graph $G=(V,E)$ with $k$ components as the following specialization of the Tutte polynomial:$$J_G(t)=(-1)^{|V|-k}t^{|E|-|V|+k}T_G(-t,-t^{-1}).$$We first study its basic properties and determine certain extreme coefficients.
Fengming Dong, Xian'an Jin
openaire +2 more sources
A Hybrid Computational Framework for PCF‐based SPR Sensor With Machine Learning and xAI
Advanced Materials Interfaces, EarlyView.A photonic crystal fiber‐based surface plasmon resonance (SPR) sensor integrating rectangular air holes along with conventional circular air holes achieves exceptional wavelength sensitivity of 15,000 nm/RIU across a broad refractive index range of 1.31–1.39. Integrated machine learning with explainable AI (xAI) models achieves high prediction accuracy
Mahabur Rahman Fahim +3 more
wiley +1 more source
Iterative methods for simultaneous inclusion of polynomial zeros [PDF]
, 1989 The simultaneous inclusion of polynomial complex zeros is a crucial problem in numerical analysis. Rapidly converging algorithms are presented in these notes, including convergence analysis in terms of circular regions, and in complex arithmetic ...
Petković, Miodrag +1 more
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Some Inequalities on Polynomials in the Complex Plane Concerning a Linear Differential Operator
Journal of MathematicsIn this paper, we consider new extremal problems in the uniform norm between a univariate complex polynomial and its associated reciprocal polynomial involving a generalized B-operator.
Mayanglambam Singhajit Singh +2 more
doaj +1 more source
Bounds for the Zeros of Polynomials
Analysis in Theory and ApplicationsSummary: In this paper, we present certain results on bounds for the zeros of a polynomial. Our results yield some generalizations and refinements of the recently proved results due to Soleiman and Bidkham, Suhail, Rather and Thakur and other classical results also.
Mir, Abdullah +2 more
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Advanced Materials Technologies, EarlyView.This study explores how machine learning models, trained on small experimental datasets obtained via Phase Doppler Anemometry (PDA), can accurately predict droplet size (D32) in ultrasonic spray coating (USSC). By capturing the influence of ink complexity (solvent, polymer, nanoparticles), power, and flow rate, the model enables precise droplet control
Pieter Verding +5 more
wiley +1 more source
On the location of zeros of the Homfly polynomial [PDF]
, 2011 National Natural Science Foundation of China [10831001]; Fundamental Research Funds for the Central Universities [2010121007]Wu, Wang, Chang and Shrock initiated the study of zeros of the Jones polynomial since it was the special case of partition ...
金贤安 +3 more
core
Generalizations of the Cauchy and Fujiwara Bounds for Products of Zeros of a Polynomial [PDF]
, 2016 The Cauchy bound is one of the best known upper bounds for the modulus of the zeros of a polynomial. The Fujiwara bound is another useful upper bound for the modulus of the zeros of a polynomial.
Pereira, Rajesh, Vali, Mohammad Ali
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Zeros of polynomials with random coefficients
Journal of Approximation Theory, 2015 Zeros of many ensembles of polynomials with random coefficients are asymptotically equidistributed near the unit circumference. We give quantitative estimates for such equidistribution in terms of the expected discrepancy and expected number of roots in various sets.
Igor E. Pritsker, Aaron M. Yeager
openaire +3 more sources