牛顿插值法得差商表matlab程序代码
时间: 2023-10-13 17:06:50 浏览: 87
以下是使用 MATLAB 实现牛顿插值法的差商表的程序代码:
```
function [coef, diff_table] = newton_interpolation(x, y)
% Implement Newton interpolation method with divided difference table
% x: a vector of x values
% y: a vector of y values
% coef: coefficients of the polynomial
% diff_table: the divided difference table
n = length(x);
diff_table = zeros(n, n);
diff_table(:, 1) = y;
for j = 2:n
for i = j:n
diff_table(i, j) = (diff_table(i, j-1) - diff_table(i-1, j-1)) / (x(i) - x(i-j+1));
end
end
coef = diff_table(n, n);
for i = n-1:-1:1
coef = conv(coef, poly(x(i)));
m = length(coef);
coef(m) = coef(m) + diff_table(i, i);
end
end
```
其中,`x` 和 `y` 分别是数据点的 x 坐标和 y 坐标,`coef` 是牛顿插值多项式的系数,`diff_table` 是差商表。程序中使用了 `conv` 函数来进行多项式的乘法。