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W. Nyway
W. Nyway
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I have a matrix problem that I need help with.

Let H=aA+bB, where a+b=1,a>0,b>0,and A,B are matrices having non-negative real part eigenvalues. In addition, A+B has positive real part eigenvalues. I also know that all the eigenvalues of H have positive real parts. I I want to estimateget a lower bound on the minimum real part of the eigenvalues of H in terms of a,b,A and Breal parts of the eigenvalues of A+B.

Thanks in advance.

I have a matrix problem that I need help with.

Let H=aA+bB, where a+b=1,a>0,b>0,and A,B are matrices having non-negative real part eigenvalues. In addition, I know that all the eigenvalues of H have positive real parts. I want to estimate the minimum real part of the eigenvalues of H in terms of a,b,A and B.

Thanks in advance.

I have a matrix problem that I need help with.

Let H=aA+bB, where a+b=1,a>0,b>0,and A,B are matrices having non-negative real part eigenvalues. In addition, A+B has positive real part eigenvalues. I also know that all the eigenvalues of H have positive real parts. I want to get a lower bound on the minimum real part of the eigenvalues of H in terms of a,b and real parts of the eigenvalues of A+B.

Thanks in advance.

Source Link
W. Nyway
W. Nyway
  • 135
  • 6

The smallest real part of eigenvales of weighted sum of two matrices

I have a matrix problem that I need help with.

Let H=aA+bB, where a+b=1,a>0,b>0,and A,B are matrices having non-negative real part eigenvalues. In addition, I know that all the eigenvalues of H have positive real parts. I want to estimate the minimum real part of the eigenvalues of H in terms of a,b,A and B.

Thanks in advance.