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Rodrigo de Azevedo
Rodrigo de Azevedo
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Is the following problem known? Suppose one is given some of the entries of an $n \times n$ matrix $A$ over $\mathbb{R}$, so that the given entries are symmetric. Can one assign values to the remaining entries so that the resulting matrix is positive definite?

Has this problem been studied from a theoretical or algorithmic point of view?

Is the following problem known? Suppose one is given some of the entries of an $n \times n$ matrix $A$ over $\mathbb{R}$, so that the given entries are symmetric. Can one assign values to the remaining entries so that the resulting matrix is positive definite?

Has this problem been studied from a theoretical or algorithmic point of view?

Is the following problem known? Suppose one is given some of the entries of an $n \times n$ matrix $A$ over $\mathbb{R}$, so that the given entries are symmetric. Can one assign values to the remaining entries so that the resulting matrix is positive definite?

Has this problem been studied from a theoretical or algorithmic point of view?

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Lior Gishboliner
Lior Gishboliner
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Completing partial matrix to a positive definite matrix

Is the following problem known? Suppose one is given some of the entries of an $n \times n$ matrix $A$ over $\mathbb{R}$, so that the given entries are symmetric. Can one assign values to the remaining entries so that the resulting matrix is positive definite?

Has this problem been studied from a theoretical or algorithmic point of view?