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Topic: Rank of root
Replies: 2   Last Post: Dec 29, 2012 1:32 PM

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Roger Stafford

Posts: 5,929
Registered: 12/7/04
Re: Rank of root
Posted: Dec 29, 2012 12:56 PM
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"Triet" wrote in message <kbm7qf$bn2$>...
> I know Matlab has "factor" to factor an equation, but is there any function or any way to do this in Matlab:
> -Input: an equation ex: x^3 -8*x^2 + 20*x -16
> -Output:
> +the equation factored, ex: (x - 4)*(x - 2)^2
> +Solve the equation, ex: x1=4; x2=2
> +Most important: show the rank of each root (the power of each inner expression) , ex: root 1 = 4 has rank = 1; root 2 = 2 has rank = 2

- - - - - - - - -
Besides the symbolic 'factor' there is the numeric 'roots' function from which you can obtain the above information by comparing the polynomial's roots. For a polynomial with real coefficients a pair of roots which are complex conjugates of one another will give you a quadratic factor. Note that roots which are equal may suffer slightly differing round-off errors so your comparisons should have a tolerance for small differences.

Roger Stafford

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