Mixing
Inverse of a trace based function?
0
$begingroup$
I have the following linear operator:
and I need to compute its inverse operator 
for y: vector of real values.
The trace function is invertible as far as I know, so is this even possible? and if so, how can I compute the inverse operator in this case?
linear-algebra inverse-function
asked Jan 9 at 1:31
kogitokogito
1013
$endgroup$
add a comment |
0
$begingroup$
I have the following linear operator:
and I need to compute its inverse operator for y: vector of real values.
The trace function is invertible as far as I know, so is this even possible? and if so, how can I compute the inverse operator in this case?
linear-algebra inverse-function
asked Jan 9 at 1:31
kogitokogito
1013
$endgroup$
1
$begingroup$
What do we know about the $a_m$?
$endgroup$
– Omnomnomnom
Jan 9 at 1:34
$begingroup$
a_{m} is a vector of Nx1 that I have computed. More can be found here: paper
$endgroup$
– kogito
Jan 9 at 1:38
$begingroup$
And how are we meant to interpret $tr{a_ma_m^HC}$? Is the output an array of values? If so, how many values are in the array?
$endgroup$
– Omnomnomnom
Jan 9 at 1:42
$begingroup$
By the way, you can format things mathematically by putting things between$'s. For instance, typing$Theta:Bbb C in C^{N times N}$results in $Theta:Bbb C in C^{N times N}$
$endgroup$
– Omnomnomnom
Jan 9 at 1:44
add a comment |
0
0
0
$begingroup$
I have the following linear operator:
and I need to compute its inverse operator for y: vector of real values.
The trace function is invertible as far as I know, so is this even possible? and if so, how can I compute the inverse operator in this case?
linear-algebra inverse-function
asked Jan 9 at 1:31
kogitokogito
1013
$endgroup$
I have the following linear operator:
and I need to compute its inverse operator for y: vector of real values.
The trace function is invertible as far as I know, so is this even possible? and if so, how can I compute the inverse operator in this case?
linear-algebra inverse-function
linear-algebra inverse-function
asked Jan 9 at 1:31
kogitokogito
1013
asked Jan 9 at 1:31
kogitokogito
1013
asked Jan 9 at 1:31
kogitokogito
1013
asked Jan 9 at 1:31
kogitokogito
1013
asked Jan 9 at 1:31
kogitokogito
1013
1013
1
$begingroup$
What do we know about the $a_m$?
$endgroup$
– Omnomnomnom
Jan 9 at 1:34
$begingroup$
a_{m} is a vector of Nx1 that I have computed. More can be found here: paper
$endgroup$
– kogito
Jan 9 at 1:38
$begingroup$
And how are we meant to interpret $tr{a_ma_m^HC}$? Is the output an array of values? If so, how many values are in the array?
$endgroup$
– Omnomnomnom
Jan 9 at 1:42
$begingroup$
By the way, you can format things mathematically by putting things between$'s. For instance, typing$Theta:Bbb C in C^{N times N}$results in $Theta:Bbb C in C^{N times N}$
$endgroup$
– Omnomnomnom
Jan 9 at 1:44
add a comment |
1
$begingroup$
What do we know about the $a_m$?
$endgroup$
– Omnomnomnom
Jan 9 at 1:34
$begingroup$
a_{m} is a vector of Nx1 that I have computed. More can be found here: paper
$endgroup$
– kogito
Jan 9 at 1:38
$begingroup$
And how are we meant to interpret $tr{a_ma_m^HC}$? Is the output an array of values? If so, how many values are in the array?
$endgroup$
– Omnomnomnom
Jan 9 at 1:42
$begingroup$
By the way, you can format things mathematically by putting things between$'s. For instance, typing$Theta:Bbb C in C^{N times N}$results in $Theta:Bbb C in C^{N times N}$
$endgroup$
– Omnomnomnom
Jan 9 at 1:44
1
1
$begingroup$
What do we know about the $a_m$?
$endgroup$
– Omnomnomnom
Jan 9 at 1:34
$begingroup$
What do we know about the $a_m$?
$endgroup$
– Omnomnomnom
Jan 9 at 1:34
$begingroup$
a_{m} is a vector of Nx1 that I have computed. More can be found here: paper
$endgroup$
– kogito
Jan 9 at 1:38
$begingroup$
a_{m} is a vector of Nx1 that I have computed. More can be found here: paper
$endgroup$
– kogito
Jan 9 at 1:38
$begingroup$
And how are we meant to interpret $tr{a_ma_m^HC}$? Is the output an array of values? If so, how many values are in the array?
$endgroup$
– Omnomnomnom
Jan 9 at 1:42
$begingroup$
And how are we meant to interpret $tr{a_ma_m^HC}$? Is the output an array of values? If so, how many values are in the array?
$endgroup$
– Omnomnomnom
Jan 9 at 1:42
$begingroup$
By the way, you can format things mathematically by putting things between
$'s. For instance, typing $Theta:Bbb C in C^{N times N}$ results in $Theta:Bbb C in C^{N times N}$$endgroup$
– Omnomnomnom
Jan 9 at 1:44
$begingroup$
By the way, you can format things mathematically by putting things between
$'s. For instance, typing $Theta:Bbb C in C^{N times N}$ results in $Theta:Bbb C in C^{N times N}$$endgroup$
– Omnomnomnom
Jan 9 at 1:44
add a comment |
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1
$begingroup$
What do we know about the $a_m$?
$endgroup$
– Omnomnomnom
Jan 9 at 1:34
$begingroup$
a_{m} is a vector of Nx1 that I have computed. More can be found here: paper
$endgroup$
– kogito
Jan 9 at 1:38
$begingroup$
And how are we meant to interpret $tr{a_ma_m^HC}$? Is the output an array of values? If so, how many values are in the array?
$endgroup$
– Omnomnomnom
Jan 9 at 1:42
$begingroup$
By the way, you can format things mathematically by putting things between
$'s. For instance, typing$Theta:Bbb C in C^{N times N}$results in $Theta:Bbb C in C^{N times N}$$endgroup$
– Omnomnomnom
Jan 9 at 1:44