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matlab中的求导函数diff

2023-06-26 17:15| 来源: 网络整理| 查看: 265

2018-01-19

今天发现我的标题写错了,diff不知怎么写成了fill,醉醉醉

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matlab中用函数diff做求导

函数描述:DIFF Difference and approximate derivative.

语法格式:

Y = diff(X)Y = diff(X,n)Y = diff(X,n,dim)

1.  Y = diff(X)

  (1).  DIFF(X), for a vector X, is [X(2)-X(1)  X(3)-X(2) ... X(n)-X(n-1)].

X是长度为n容器,也就是长度为n的行向量,返回n-1长度的行向量,后一个数减去前一个数

>> x = [1 2 3 4 5]; >> diff(x) ans = 1 1 1 1 >> >> x=1:10; >> y=2*x; >> diff(y) ans =      2     2     2     2     2     2     2     2     2 >>   原来长度为5,结果长度为4.

   (2).  DIFF(X), for a matrix X, is the matrix of row differences,       [X(2:n,:) - X(1:n-1,:)].

 X是个n行的矩阵,返回结果是n-1行的矩阵,后一行数减去前一行数

>> x = [ 1 1 1;2 2 2;4 4 4]; >> diff(x) ans = 1 1 1 2 2 2 >>

   (3). DIFF(X), for an N-D array X, is the difference along the firstnon-singleton dimension of X.

这个不大会,以后回了在更新吧,不过意思跟前面应该差不多。

  (4).还有一种是单个点的导数值

>> syms x; >> y=power(x,2); >> y1=diff(y); >> subs(y1,x,1) ans = 2 >> y,y1 y = x^2 y1 = 2*x >> 2.  Y = diff(X,n)  

      diff(X,N) is the N-th order difference along the first non-singleton       dimension (denote it by DIM). If N >= size(X,DIM), diff takes        successive differences along the next non-singleton dimension.

n是求导阶数

>> x=[1 1 1;2 2 2 ;4 4 4;7 7 7]; >> diff(x) ans = 1 1 1 2 2 2 3 3 3 >> diff(x,2) ans = 1 1 1 1 1 1 >> >> syms x; >> y=power(x,3); >> y1=diff(y,2); >> subs(y1,x,2) ans =     12 >> y1   y1 =   6*x   >>

3.  diff(X,N,DIM)

diff(X,N,DIM)is the Nth difference function along dimension DIM.       If N >= size(X,DIM), diff returns an empty array.

求导阶数不能大于DIM

>> syms x; >> y=power(x,3); >> y1=diff(y,2); >> y2=diff(y,3,2) y2 = 6*x >> y2=diff(y,3,3) y2 = 6 >>



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