Lysario – by Panagiotis Chatzichrisafis
"ούτω γάρ ειδέναι το σύνθετον υπολαμβάνομεν, όταν ειδώμεν εκ τίνων και πόσων εστίν …"
Archive for Januar, 2010
Steven M. Kay: “Modern Spectral Estimation – Theory and Applications”,p. 34 exercise 2.11
Author: Panagiotis24 Jan
In [1, p. 34 exercise 2.11] we are asked to find the eigenvalues of the circulant matrix given in [1, (2.27),p.22].
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Steven M. Kay: “Modern Spectral Estimation – Theory and Applications”,p. 34 exercise 2.10
Author: Panagiotis7 Jan
In [1, p. 34 exercise 2.10] it is asked to prove that if 
is a complex 
positive definite matrix and 
is a full rank complex 
matrix with 
, then 
is also positive definite.
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is a complex positive definite matrix and is a full rank complex matrix with , then is also positive definite.
read the conclusion >
Steven M. Kay: “Modern Spectral Estimation – Theory and Applications”,p. 34 exercise 2.9
Author: Panagiotis5 Jan
In [1, p. 34 exercise 2.9] we are asked to prove that the rank of the complex 
matrix
where the
are linearly independent complex 
vectors and the 
‘s are real and positive, is equal to 
if 
. Furthermore we are asked what the rank equals to if 
> 
.
read the conclusion >
matrix
 | (1) | ||
where the
are linearly independent complex vectors and the ‘s are real and positive, is equal to if . Furthermore we are asked what the rank equals to if > .
read the conclusion >