Difference between revisions of "ElemSymPoly"
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==Syntax== | ==Syntax== | ||
| − | * <tt> | + | * <tt>RES = ElemSymPoly(X, K)</tt> |
==Argument descriptions== | ==Argument descriptions== | ||
| − | * <tt> | + | * <tt>X</tt>: A vector of length <tt>n</tt>. |
| − | * <tt> | + | * <tt>K</tt>: An integer denoting the degree of the terms in the elementary symmetric polynomial. Must be between <tt>0</tt> and <tt>n</tt>, inclusive. |
==Example== | ==Example== | ||
Latest revision as of 14:07, 26 August 2024
| ElemSymPoly | |
| Computes the elementary symmetric polynomial of a given set of numbers. | |
| Other toolboxes required | none |
|---|---|
| Function category | Miscellaneous |
ElemSymPoly is a function that computes the kth elementary symmetric polynomial of a given set of numbers.
Syntax
- RES = ElemSymPoly(X, K)
Argument descriptions
- X: A vector of length n.
- K: An integer denoting the degree of the terms in the elementary symmetric polynomial. Must be between 0 and n, inclusive.
Example
This function computes the sum of products of k distinct elements of a vector x. For example, the 3rd elementary symmetric polynomial of the vector [1, 2, 3, 4] is computed by summing the distinct products of 3 elements, these products being 1 x 2 x 3, 1 x 2 x 4, 1 x 3 x 4, and 2 x 3 x 4.
>> ElemSymPoly([1, 2, 3, 4], 3)
ans =
50Notes
The 0th elementary symmetric polynomial is defined as S0(x) = 1.
Source code
Click here to view this function's source code on github.