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Re: sylvester_matrix?
From: |
Rik |
Subject: |
Re: sylvester_matrix? |
Date: |
Sun, 01 May 2011 20:06:53 -0700 |
On 05/01/2011 01:18 PM, Svante Signell wrote:
> On Sun, 2011-05-01 at 12:20 -0700, Rik wrote:
>> 5/1/11
>>
>> John,
>>
>> I just reviewed the documentation on Famous Matrices and there is a
>> function (sylvester_matrix) which produces a matrix form that I was unable
>> to verify. The form that Wikipedia documents
>> (http://en.wikipedia.org/wiki/Sylvester_matrix) is more akin to toeplitz or
>> hankel in that it starts with two input polynomials, rather than a single
>> scalar input. Do you have a better idea about what this function is
>> actually creating?
>
> Looks like this matrix is the same as the Hadamard matrix, i.e.
> sylvester_matrix(k) = hadamard(2^k).
5/1/11
Since that is the case (I verified), I think we should deprecate
sylvester_matrix. There is no equivalent in the Matlab core and hadamard
does exist in both Octave and Matlab core.
--Rik