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Gerry Myerson
Gerry Myerson
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Is there a simple description of the the convex hull of all the pairs of n$n$ by n$n$ matrices (A,B)$(A,B)$ such that AA^t+BB^t=A^tA+B^tB=I ? This$$AA^t+BB^t=A^tA+B^tB=I$$ This is a convex set in dimension 2n^2$2n^2$, and I am hoping for a simple characterization of the pairs of matrices that belong to it.

Is there a simple description of the the convex hull of all the pairs of n by n matrices (A,B) such that AA^t+BB^t=A^tA+B^tB=I ? This is a convex set in dimension 2n^2, and I am hoping for a simple characterization of the pairs of matrices that belong to it.

Is there a simple description of the the convex hull of all the pairs of $n$ by $n$ matrices $(A,B)$ such that $$AA^t+BB^t=A^tA+B^tB=I$$ This is a convex set in dimension $2n^2$, and I am hoping for a simple characterization of the pairs of matrices that belong to it.

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jo1
jo1
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convex hull of pairs of matrices

Is there a simple description of the the convex hull of all the pairs of n by n matrices (A,B) such that AA^t+BB^t=A^tA+B^tB=I ? This is a convex set in dimension 2n^2, and I am hoping for a simple characterization of the pairs of matrices that belong to it.