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For a hermitian matrix R and a diagonal one Q, is there any relationship between eigenvalues/eigenvectors of R and QRQ?

To be specific, assuming the eigenvalue decomposition of R is R=VDV*, then can the eigenvalues/eigenvectors of QRQ be represented by V, D & Q?

Thanks a lot!

In fact I've ask this questionthis question on math.stackexchange already, and was advocated to ask here. I do hope to get a proof for it.

For a hermitian matrix R and a diagonal one Q, is there any relationship between eigenvalues/eigenvectors of R and QRQ?

To be specific, assuming the eigenvalue decomposition of R is R=VDV*, then can the eigenvalues/eigenvectors of QRQ be represented by V, D & Q?

Thanks a lot!

In fact I've ask this question on math.stackexchange already, and was advocated to ask here. I do hope to get a proof for it.

For a hermitian matrix R and a diagonal one Q, is there any relationship between eigenvalues/eigenvectors of R and QRQ?

To be specific, assuming the eigenvalue decomposition of R is R=VDV*, then can the eigenvalues/eigenvectors of QRQ be represented by V, D & Q?

Thanks a lot!

In fact I've ask this question on math.stackexchange already, and was advocated to ask here. I do hope to get a proof for it.

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dehiker
dehiker
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In fact I've ask this question on math.stackexchange already, and was advocated to ask here. I do hope to get a proof for it.

For a hermitian matrix R and a diagonal one Q, is there any relationship between eigenvalues/eigenvectors of R and QRQ?

To be specific, assuming the eigenvalue decomposition of R is R=VDV*, then can the eigenvalues/eigenvectors of QRQ be represented by V, D & Q?

Thanks a lot!

In fact I've ask this question on math.stackexchange already, and was advocated to ask here. I do hope to get a proof for it.

In fact I've ask this question on math.stackexchange already, and was advocated to ask here. I do hope to get a proof for it.

For a hermitian matrix R and a diagonal one Q, is there any relationship between eigenvalues/eigenvectors of R and QRQ?

To be specific, assuming the eigenvalue decomposition of R is R=VDV*, then can the eigenvalues/eigenvectors of QRQ be represented by V, D & Q?

Thanks a lot!

For a hermitian matrix R and a diagonal one Q, is there any relationship between eigenvalues/eigenvectors of R and QRQ?

To be specific, assuming the eigenvalue decomposition of R is R=VDV*, then can the eigenvalues/eigenvectors of QRQ be represented by V, D & Q?

Thanks a lot!

In fact I've ask this question on math.stackexchange already, and was advocated to ask here. I do hope to get a proof for it.

Source Link
dehiker
dehiker
  • 101
  • 1

Relationship of eigenvalue/eigenvector of hermitian matrix R and QRQ (Q is diagonal)

In fact I've ask this question on math.stackexchange already, and was advocated to ask here. I do hope to get a proof for it.

For a hermitian matrix R and a diagonal one Q, is there any relationship between eigenvalues/eigenvectors of R and QRQ?

To be specific, assuming the eigenvalue decomposition of R is R=VDV*, then can the eigenvalues/eigenvectors of QRQ be represented by V, D & Q?

Thanks a lot!