- #1

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Does the following inequality hold regarding the product of 2 matrices A and B: p(AB) <= p(A)p(B), where p denotes the spectral radius.

Thanks!

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- Thread starter defunc
- Start date

- #1

- 55

- 0

Does the following inequality hold regarding the product of 2 matrices A and B: p(AB) <= p(A)p(B), where p denotes the spectral radius.

Thanks!

- #2

Hurkyl

Staff Emeritus

Science Advisor

Gold Member

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Have you tried anything to prove it? Intuitively why do you think it should be true?

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