Robotics & Machine Learning Daily News2024,Issue(Mar.29) :19-19.

New Findings from Riphah International University I-14 in the Area of Symbolic C omputation Described (On the stability analysis of numerical schemes for solving non-linear polynomials arises in engineering problems)

Robotics & Machine Learning Daily News2024,Issue(Mar.29) :19-19.

New Findings from Riphah International University I-14 in the Area of Symbolic C omputation Described (On the stability analysis of numerical schemes for solving non-linear polynomials arises in engineering problems)

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Abstract

By a News Reporter-Staff News Editor at Robotics & Machine Learning Daily News-A new study on symbolic computation is now availa ble. According to news reporting from Islamabad,Pakistan,by NewsRx journalists ,research stated,"This study shows the link between computer science and appli ed mathematics." The news editors obtained a quote from the research from Riphah International Un iversity I-14: "It conducts a dynamics investigation of new root solvers using c omputer tools and develops a new family of single-step simple root-finding metho ds. The convergence order of the proposed family of iterative methods is two,ac cording to the convergence analysis carried out using symbolic computation in th e computer algebra system CAS-Maple 18. Without further evaluations of a given n onlinear function and its derivatives,a very rapid convergence rate is achieved ,demonstrating the remarkable computing efficiency of the novel technique. To d etermine the simple roots of nonlinear equations,this paper discusses the dynam ic analysis of one-parameter families using symbolic computation,computer anima tion,and multiprecision arithmetic. To choose the best parametric value used i n iterative schemes,it implements the parametric and dynamical plane technique using CAS-MATLAB$ ∧{@} R2011b. $ The dynamic evaluation of the methods is also presented utilizing basins of attraction to analyze their convergence behavior."

Key words

Riphah International University I-14/Is lamabad/Pakistan/Asia/Computers/Emerging Technologies/Engineering/Machine Learning/Mathematics/Polynomial/Symbolic Computation

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出版年

2024
Robotics & Machine Learning Daily News

Robotics & Machine Learning Daily News

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