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Post Closed as "Duplicate" by Suvrit, Michael Albanese, Alex Degtyarev, Wolfgang, Jan-Christoph Schlage-Puchta
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edit approved Oct 1, 2016 at 12:57
Rodrigo de Azevedo
edit approved Oct 1, 2016 at 12:57
Rodrigo de Azevedo
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Hello, II know that given two matrices A$A$ and B$B$, estimating the eigenvalues of A + B = C$A + B = C$ as a function of the eigenvalues of A$A$ and of the eigenvalues of B$B$ is generally a non-easy problem. I was wondering if the solution is known in the case where A$A$ is symmetricsymmetric and B$B$ is diagonaldiagonal.

  Thanks!

Hello, I know that given two matrices A and B, estimating the eigenvalues of A + B = C as a function of the eigenvalues of A and of the eigenvalues of B is generally a non-easy problem. I was wondering if the solution is known in the case where A is symmetric and B is diagonal.

  Thanks!

I know that given two matrices $A$ and $B$, estimating the eigenvalues of $A + B = C$ as a function of the eigenvalues of $A$ and of the eigenvalues of $B$ is generally a non-easy problem. I was wondering if the solution is known in the case where $A$ is symmetric and $B$ is diagonal. Thanks!

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Michele
Michele
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Eigenvalues of the sum of two matrices

Hello, I know that given two matrices A and B, estimating the eigenvalues of A + B = C as a function of the eigenvalues of A and of the eigenvalues of B is generally a non-easy problem. I was wondering if the solution is known in the case where A is symmetric and B is diagonal.

Thanks!