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Willie Wong
Willie Wong
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Maximum of Tr$(ABB'A'ABA')$

This is probablyLet $B$ be a simple question:fixed symmetric $M\times M$ matrix over the reals.

Let $B$ and $AA'$ are given$A$ be an arbitrary (fixed) real matrices$N\times M$ matrix over the reals. Please give me some hint on how

I want to findconsider the maximum and minimumproblem of Tr $(ABB'A')$ over all realfinding the extremal value of $A$. Here both$\operatorname{Tr}(ABA^T) = \operatorname{Tr}(A^TAB)$ under the constraint that $A$ and$AA^T$ is a fixed $B$ are finite dimensional, non square matrices and ' denotes transpose operation$N\times N$ matrix.

Can you give me a hint?

Maximum of Tr$(ABB'A')$

This is probably a simple question:

Let $B$ and $AA'$ are given (fixed) real matrices. Please give me some hint on how to find the maximum and minimum of Tr $(ABB'A')$ over all real $A$. Here both $A$ and $B$ are finite dimensional, non square matrices and ' denotes transpose operation.

Maximum of Tr$(ABA')$

Let $B$ be a fixed symmetric $M\times M$ matrix over the reals.

Let $A$ be an arbitrary $N\times M$ matrix over the reals.

I want to consider the problem of finding the extremal value of $\operatorname{Tr}(ABA^T) = \operatorname{Tr}(A^TAB)$ under the constraint that $AA^T$ is a fixed $N\times N$ matrix.

Can you give me a hint?

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dexter
dexter
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This is probably a simple question:

Let $B$ and $AA'$ are given (fixed) real matrices. Please give me some hint on how to find the maximum and minimum of Tr $(ABB'T')$$(ABB'A')$ over all real $A$. Here both $A$ and $B$ are finite dimensional, non square matrices and ' denotes transpose operation.

This is probably a simple question:

Let $B$ and $AA'$ are given (fixed) real matrices. Please give me some hint on how to find the maximum and minimum of Tr $(ABB'T')$ over all real $A$. Here both $A$ and $B$ are finite dimensional, non square matrices and ' denotes transpose operation.

This is probably a simple question:

Let $B$ and $AA'$ are given (fixed) real matrices. Please give me some hint on how to find the maximum and minimum of Tr $(ABB'A')$ over all real $A$. Here both $A$ and $B$ are finite dimensional, non square matrices and ' denotes transpose operation.

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dexter
dexter
  • 211
  • 2
  • 6

Maximum of Tr$(ABB'A')$

This is probably a simple question:

Let $B$ and $AA'$ are given (fixed) real matrices. Please give me some hint on how to find the maximum and minimum of Tr $(ABB'T')$ over all real $A$. Here both $A$ and $B$ are finite dimensional, non square matrices and ' denotes transpose operation.