Piecewise quadratic bounding functions for finding real roots of polynomials
Numerical Algebra, Control and Optimization, cilt.11, sa.1, ss.63-73, 2021 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 11 Sayı: 1
- Basım Tarihi: 2021
- Doi Numarası: 10.3934/naco.2020015
- Dergi Adı: Numerical Algebra, Control and Optimization
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Applied Science & Technology Source, Computer & Applied Sciences, MathSciNet, zbMATH
- Sayfa Sayıları: ss.63-73
- Anahtar Kelimeler: Global optimization, Piecewise Quadratic Upper Function, Piecewise Quadratic Lower Function, Root-finding, Branch and Reduce, Branch and Bound
- Kırklareli Üniversitesi Adresli: Evet
Özet
In this paper, our main interest is to create/ construct a new useful and outstanding algorithm to obtain roots of the real polynomial represented by f(x) = c0 + c1x + … + cixi + … + cnxn where coefficients of the polynomials are real numbers and x is a real number in the closed interval of R. Also, our results are supported by numerical examples. Then, a new algorithm is compared with the others (writer classical methods) and this algorithm is more useful than others.