Difference between revisions of "ElemSymPoly"
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|desc=Computes the elementary symmetric polynomial of a given set of numbers. | |desc=Computes the elementary symmetric polynomial of a given set of numbers. | ||
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<tt>'''ElemSymPoly'''</tt> is a [[List of functions|function]] that computes the ''k''<sup>th</sup> [https://en.wikipedia.org/wiki/Elementary_symmetric_polynomial elementary symmetric polynomial] of a given set of numbers. | <tt>'''ElemSymPoly'''</tt> is a [[List of functions|function]] that computes the ''k''<sup>th</sup> [https://en.wikipedia.org/wiki/Elementary_symmetric_polynomial elementary symmetric polynomial] of a given set of numbers. | ||
Revision as of 22:37, 23 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.