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Hi, We have a square real symmetric matrix M with the diagonal elements 00's, and the eigenvalues and eigenvectors of M are computed. Now we wish to change its diagonal elements arbitrarily to minimize the sum of absolute eigenvalues. Does there exist a way to find such modifications? If we add a constraint : keep Tr(M)=0, would that become easier? Is there some topics about these? Thank you for your help Zhi Ming |
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minimize the sum of absolute eigenvaluesHi, We have a square real symmetric matrix M with the diagonal elements 0, and the eigenvalues and eigenvectors of M are computed. Now we wish to change its diagonal elements arbitrarily to minimize the sum of absolute eigenvalues. Does there exist a way to find such modifications? If we add a constraint : keep Tr(M)=0, would that become easier? Is there some topics about these? Thank you for your help Zhi Ming
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