Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4622410 | Journal of Mathematical Analysis and Applications | 2007 | 15 Pages |
Abstract
Given a positive definite matrix A, we characterize the unique diagonal matrix D, D⩾A, with the smallest determinant. Equivalently, given an ellipsoid A, we characterize the unique ellipsoid of the largest volume contained in A, with principal axes parallel to the coordinate axes.
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