Eigenvalue of symmetric matrix

From: Hardy B. Siahaan (hardy.siahaan_at_itk.ntnu.no)
Date: 07/19/04 

Date: Mon, 19 Jul 2004 14:44:01 +0000 (UTC)

1. Given is any real matrix A of size n by n where A+A' does not have
complex conjugate eigenvalue(s). Let's denote the maximum eigenvalue
of (A+A') as c_max(A).
Is there any function f(A) which can be used as upperbound for
c_max(A), i.e. c_max(A) \leq f(A), where f(A) is a function of
eigenvalue(s) of A?
2. Given is any real matrix M of size n by n. Denote the real part of
the maximum eigenvalue of (M+M') as r_max(M).
Is there any function g(M) which can be used as upperbound for
r_max(M), i.e. r_max(M) \leq g(M), where g(M) is a function of
eigenvalue(s) of M?
 
 

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