Author: Panagiotis
22
Dez
In exercise
[1, p. 34 exercise 2.8] we are asked to find the inverse of the

hermitian matrix

given by
[1, (2.27)] by recursively applying Woodbury’s identity. This should be done by considering the cases where

are arbitrary and where

,

for

beeing distinct integers in the range
![\left[ -n/2,n/2-1 \right]](https://lysario.de/wp-content/cache/tex_349760367e158b72823c089231e45245.png)
for

even and
![\left[ -(n-1)/2,(n-1)/2 \right]](https://lysario.de/wp-content/cache/tex_bbbbf77ffaa65be463cde297b83e452b.png)
for

odd.
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