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Thread Subject:
eigenvalues bound

Subject: eigenvalues bound

From: Frank

Date: 28 Sep, 2011 03:07:13

Message: 1 of 2

Hi all,

I have two known square matrices, A and B with same dimension. Let C = A + t*B where t is a variable.

Are there any lower and upper bounds on the kth eigenvalues of C?

Thanks a lot.

Frank

Subject: eigenvalues bound

From: Bruno Luong

Date: 28 Sep, 2011 06:28:14

Message: 2 of 2

"Frank " <allinone_2003@yahoo.com.hk> wrote in message <j5u311$6i9$1@newscl01ah.mathworks.com>...
> Hi all,
>
> I have two known square matrices, A and B with same dimension. Let C = A + t*B where t is a variable.
>
> Are there any lower and upper bounds on the kth eigenvalues of C?

Without further knowledge, the best you could bound is:

|lambda| < ||A|| + |t|.||B||

Bruno

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