Bounds on $mboxTr (AB^-1)$ for positive definite correlation matrices $A$ and $B$ [on hold]About full column(row) matricesDeterminant-like expression for non-square matricesLow-degree “determinant” for non-square matrices?Correlation between two random matrices?minimum eigenvalue of the Hadamard product of positive semi-definite matricesWhat is the rank of correlation matrix and its estimate?Possible Positive-definite matrix questionhow to determine correlation (or relationship) of multiple (dis)similarity (or distance) matricesDetermining the correlation between two matrices in an efficient mannerSimilarity matrices and their positive definiteness
Having the player face themselves after the mid-game
Professor forcing me to attend a conference, I can't afford even with 50% funding
What should I do when a paper is published similar to my PhD thesis without citation?
Use Mercury as quenching liquid for swords?
What was so special about The Piano that Ada was willing to do anything to have it?
Help! My Character is too much for her story!
(Codewars) Linked Lists-Sorted Insert
Is it appropriate to ask a former professor to order a book for me through an inter-library loan?
Computation logic of Partway in TikZ
Can one live in the U.S. and not use a credit card?
Is there a logarithm base for which the logarithm becomes an identity function?
Are E natural minor and B harmonic minor related?
Locked Away- What am I?
How to educate team mate to take screenshots for bugs with out unwanted stuff
What is the purpose of a disclaimer like "this is not legal advice"?
How to write a chaotic neutral protagonist and prevent my readers from thinking they are evil?
What happened to the colonial estates belonging to loyalists after the American Revolution?
I can't die. Who am I?
Is it possible to clone a polymorphic object without manually adding overridden clone method into each derived class in C++?
The (Easy) Road to Code
Why aren't there more Gauls like Obelix?
Giving a career talk in my old university, how prominently should I tell students my salary?
When an outsider describes family relationships, which point of view are they using?
Why do phishing e-mails use faked e-mail addresses instead of the real one?
Bounds on $mboxTr (AB^-1)$ for positive definite correlation matrices $A$ and $B$ [on hold]
About full column(row) matricesDeterminant-like expression for non-square matricesLow-degree “determinant” for non-square matrices?Correlation between two random matrices?minimum eigenvalue of the Hadamard product of positive semi-definite matricesWhat is the rank of correlation matrix and its estimate?Possible Positive-definite matrix questionhow to determine correlation (or relationship) of multiple (dis)similarity (or distance) matricesDetermining the correlation between two matrices in an efficient mannerSimilarity matrices and their positive definiteness
$begingroup$
Suppose $A$ and $B$ are $n times n$ full-rank correlation matrices. Are there any conclusions on the range of $ mboxTr(AB^-1)$ for all possible A,B? I would guess $$min mboxTr (AB^-1) = n$$ when $A=B$. Is this true? What about the maximum?
Is there any similarity measure of matrices between $A$ and $B$ that is related to $mboxTr (AB^-1)$?
linear-algebra matrices statistics trace positive-definite
asked yesterday
ahalaahala
1,09311123
$endgroup$
put on hold as off-topic by Brian Borchers, YiFan, Eevee Trainer, Leucippus, Alex Provost yesterday
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Eevee Trainer, Leucippus, Alex Provost
add a comment |
$begingroup$
Suppose $A$ and $B$ are $n times n$ full-rank correlation matrices. Are there any conclusions on the range of $ mboxTr(AB^-1)$ for all possible A,B? I would guess $$min mboxTr (AB^-1) = n$$ when $A=B$. Is this true? What about the maximum?
Is there any similarity measure of matrices between $A$ and $B$ that is related to $mboxTr (AB^-1)$?
linear-algebra matrices statistics trace positive-definite
asked yesterday
ahalaahala
1,09311123
$endgroup$
put on hold as off-topic by Brian Borchers, YiFan, Eevee Trainer, Leucippus, Alex Provost yesterday
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Eevee Trainer, Leucippus, Alex Provost
$begingroup$
What is the motivation for this question?
$endgroup$
– Rodrigo de Azevedo
yesterday
$begingroup$
When $A=B$, $AB^-1=I$ and the trace is $n$. Do you mean something other than $A=B$?
$endgroup$
– Brian Borchers
yesterday
1
$begingroup$
You should rewrite you question to make that clear. In general, the trace will be greater than 0 but that is all you can say.
$endgroup$
– Brian Borchers
yesterday
add a comment |
$begingroup$
Suppose $A$ and $B$ are $n times n$ full-rank correlation matrices. Are there any conclusions on the range of $ mboxTr(AB^-1)$ for all possible A,B? I would guess $$min mboxTr (AB^-1) = n$$ when $A=B$. Is this true? What about the maximum?
Is there any similarity measure of matrices between $A$ and $B$ that is related to $mboxTr (AB^-1)$?
linear-algebra matrices statistics trace positive-definite
asked yesterday
ahalaahala
1,09311123
$endgroup$
Suppose $A$ and $B$ are $n times n$ full-rank correlation matrices. Are there any conclusions on the range of $ mboxTr(AB^-1)$ for all possible A,B? I would guess $$min mboxTr (AB^-1) = n$$ when $A=B$. Is this true? What about the maximum?
Is there any similarity measure of matrices between $A$ and $B$ that is related to $mboxTr (AB^-1)$?
linear-algebra matrices statistics trace positive-definite
linear-algebra matrices statistics trace positive-definite
asked yesterday
ahalaahala
1,09311123
asked yesterday
ahalaahala
1,09311123
edited yesterday
ahala
asked yesterday
ahalaahala
1,09311123
asked yesterday
ahalaahala
1,09311123
asked yesterday
ahalaahala
1,09311123
1,09311123
put on hold as off-topic by Brian Borchers, YiFan, Eevee Trainer, Leucippus, Alex Provost yesterday
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Eevee Trainer, Leucippus, Alex Provost
put on hold as off-topic by Brian Borchers, YiFan, Eevee Trainer, Leucippus, Alex Provost yesterday
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Eevee Trainer, Leucippus, Alex Provost
$begingroup$
What is the motivation for this question?
$endgroup$
– Rodrigo de Azevedo
yesterday
$begingroup$
When $A=B$, $AB^-1=I$ and the trace is $n$. Do you mean something other than $A=B$?
$endgroup$
– Brian Borchers
yesterday
1
$begingroup$
You should rewrite you question to make that clear. In general, the trace will be greater than 0 but that is all you can say.
$endgroup$
– Brian Borchers
yesterday
add a comment |
$begingroup$
What is the motivation for this question?
$endgroup$
– Rodrigo de Azevedo
yesterday
$begingroup$
When $A=B$, $AB^-1=I$ and the trace is $n$. Do you mean something other than $A=B$?
$endgroup$
– Brian Borchers
yesterday
1
$begingroup$
You should rewrite you question to make that clear. In general, the trace will be greater than 0 but that is all you can say.
$endgroup$
– Brian Borchers
yesterday
$begingroup$
What is the motivation for this question?
$endgroup$
– Rodrigo de Azevedo
yesterday
$begingroup$
What is the motivation for this question?
$endgroup$
– Rodrigo de Azevedo
yesterday
$begingroup$
When $A=B$, $AB^-1=I$ and the trace is $n$. Do you mean something other than $A=B$?
$endgroup$
– Brian Borchers
yesterday
$begingroup$
When $A=B$, $AB^-1=I$ and the trace is $n$. Do you mean something other than $A=B$?
$endgroup$
– Brian Borchers
yesterday
1
1
$begingroup$
You should rewrite you question to make that clear. In general, the trace will be greater than 0 but that is all you can say.
$endgroup$
– Brian Borchers
yesterday
$begingroup$
You should rewrite you question to make that clear. In general, the trace will be greater than 0 but that is all you can say.
$endgroup$
– Brian Borchers
yesterday
add a comment |
0
active
oldest
votes
0
active
oldest
votes
0
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
What is the motivation for this question?
$endgroup$
– Rodrigo de Azevedo
yesterday
$begingroup$
When $A=B$, $AB^-1=I$ and the trace is $n$. Do you mean something other than $A=B$?
$endgroup$
– Brian Borchers
yesterday
1
$begingroup$
You should rewrite you question to make that clear. In general, the trace will be greater than 0 but that is all you can say.
$endgroup$
– Brian Borchers
yesterday