Journal of the Chungcheong Mathematical Society (충청수학회지)
- Volume 19 Issue 2
- /
- Pages.133-139
- /
- 2006
- /
- 1226-3524(pISSN)
- /
- 2383-6245(eISSN)
ON THE ORDER AND RATE OF CONVERGENCE FOR PSEUDO-SECANT-NEWTON'S METHOD LOCATING A SIMPLE REAL ZERO
- Kim, Young Ik (Department of Applied Mathematics Dankook University)
- Received : 2006.03.23
- Published : 2006.06.30
Abstract
By combining the classical Newton's method with the pseudo-secant method, pseudo-secant-Newton's method is constructed and its order and rate of convergence are investigated. Given a function
Keywords
- k-fold pseudo-secant-Newton's method;
- order of convergence;
- rate of convergence;
- asymptotic error constant