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Topic: Nx2N lapped orthogonal transform
Replies: 13   Last Post: Sep 12, 2013 7:38 PM

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Robin Chapman

Posts: 297
Registered: 5/29/08
Re: Nx2N lapped orthogonal transform
Posted: Sep 5, 2013 9:05 AM
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On 05/09/2013 12:00, James Dow Allen wrote:
> Leon Aigret <aigret.not@myrealbox.invalid> might have writ, in
> news:vsmc29lmof1ah5npckgve85u0rp2sjuh0o@4ax.com:
>

>> The AB^t = 0 condition translates to the requirement that MS^t is both
>> its own transpose and its own inverse, with drastic consequences for
>> its eigenvectors and eigenvalues.

>
> This is the essential point, and leads directly to the unique parametric
> form I sought. Do such matrixes, which are both symmetric and orthogonal,
> arise often?


They correspond to vector subspaces of R^n. For such a subspace V
it acts as +1 on V and -1 on the orthogonal complement of V.




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