[英]How to create symbolic polynomial using coefficient vector and symbolic variable vector?
I have a coefficient column vector looking something like 我有一个系数列向量看起来像
x = [1 2 3]'
that aligns with the polynomial p(z) = x_0 + x_1*z + x_2*z^2 + ... + x_n-1*z^(n-1). 与多项式p(z)= x_0 + x_1 * z + x_2 * z ^ 2 + ... + x_n-1 * z ^(n-1)对齐。 My question is, how would one create a symbolic vector using MATLAB, something like 我的问题是,如何使用MATLAB创建符号矢量?
p = [1 z z^2]
so that when I take the matrix product 这样我拿矩阵产品时
p*x
and print it I get a 1x1 "matrix" of the expression 1 + 2z + 3z^2
? 并打印出来,我得到表达式1 + 2z + 3z^2
的1x1“矩阵”?
Furthermore, how can I generalize the creation of p to extend for arbitrary powers z^3, z^4, ...? 此外,我如何概括p的创建以扩展到任意幂z ^ 3,z ^ 4,...?
Thanks! 谢谢!
p = z.^(0:2);
In general: 一般来说:
p = z.^(0:n-1);
where n
equals number of elements. 其中n
等于元素数。
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