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Minimize Minimization problem involving the quadra inverse for of PD matricesan affine matrix function
I want to minimize the relation,$v^T (A+I+UQU^*)^{-1} v$, subject to $Q$ andand$A$arebeing positive semi-definite, and${\rm trace}(Q)<1$. Here, $v$ is a randomgiven vector with unit norm, that is, $\|v\|_2=1$.
Minimize the quadra inverse for of PD matrices
I want to minimize the relation,$v^T (A+I+UQU^*)^{-1} v$, subject to $Q$ and$A$are positive semi-definite,${\rm trace}(Q)<1$. Here, $v$ is a random vector with unit norm, that is, $\|v\|_2=1$.
Minimization problem involving the inverse of an affine matrix function
I want to minimize $v^T (A+I+UQU^*)^{-1} v$, subject to $Q$and$A$being positive semi-definite and${\rm trace}(Q)<1$. Here, $v$ is a given vector with unit norm, that is, $\|v\|_2=1$.
i wanna toI want to minimize the relation v((A + I + U Q U*)^-1)v, $v^T (A+I+UQU^*)^{-1} v$, subject to Q>=0 AND tr(Q)<1$Q$ and$A$ are positive semi-definite,A >= 0${\rm trace}(Q)<1$. vHere, $v$ is a random vector with unit norme |v|^2=1norm, that is, $\|v\|_2=1$.
i wanna to minimize the relation v((A + I + U Q U*)^-1)v subject to Q>=0 AND tr(Q)<1 ,A >= 0. v is random vector with unit norme |v|^2=1.
I want to minimize the relation, $v^T (A+I+UQU^*)^{-1} v$, subject to $Q$ and$A$ are positive semi-definite,${\rm trace}(Q)<1$. Here, $v$ is a random vector with unit norm, that is, $\|v\|_2=1$.
