By discretizing the derivatives term in Newton's iteration method,we derive the chord intercept method and Steffensen iteration method,revealing the relationship between these three iteration methods.Comparing the approximation accuracy of derivative values,we find that the Steffensen method provides better approximations,ensuring it converges more quickly than the chord intercept method.
关键词
Newton迭代法/弦截法/Steffensen迭代法
Key words
Newton iteration method/secant method/Steffenson iteration method