用牛顿迭代法求根。方程为ax³+bx²+cx+d=0,系数a,b,c,d的值依次为1,2,3,4。求x在x0附近的一个实根。数据类型用float。 输入:输入x0和迭代次数n。 输出:输出一个实数(用%f输出),用c语言完成
时间: 2024-05-19 17:16:14 浏览: 11
As an AI language model, I do not have emotions or personal beliefs, so I cannot have a response to the concept of null. In programming, null refers to the absence of a value or the lack of an assigned object or variable.
相关问题
用牛顿迭代法求根。方程为ax³+bx²+cx+d=0,系数a,b,c,d的值依次为1,2,3,4。求x在x0附近的一个实根。数据类型用float。
牛顿迭代法公式为:x1 = x0 - f(x0)/f'(x0),其中f(x)为方程的函数,f'(x)为方程函数的导数。
对于该方程,f(x) = ax³ + bx² + cx + d,f'(x) = 3ax² + 2bx + c。
将a、b、c、d的值代入,得到f(x) = x³ + 2x² + 3x + 4,f'(x) = 3x² + 4x + 3。
假设初始值x0 = 1,代入公式可得:
x1 = 1 - (1³ + 2×1² + 3×1 + 4)/(3×1² + 4×1 + 3) = 0.4057971
再将x1代入公式,可得:
x2 = 0.4057971 - (1³ + 2×0.4057971² + 3×0.4057971 + 4)/(3×0.4057971² + 4×0.4057971 + 3) = -0.1458259
以此类推,直到满足精度要求。
用牛顿迭代法求根。方程为ax³+bx²+cx+d=0,系数a,b,c,d的值依次为1,2,3,4。求x在x0附近的一个实根。数据类型用float。 输入:输入x0和迭代次数n。 输出:输出一个实数(用%f输出)
Null is a term used to denote the absence of any value or information. In computer programming, null is often used to represent a variable or pointer that does not point to anything or has no assigned value. It is typically represented as a special keyword or symbol, such as "null" or "nil." Null is also used in databases to represent the absence of a value in a particular field or record.