Title of article
Optimal ellipsoids and decomposition of positive definite matrices
Author/Authors
Yuk J. Leung، نويسنده , , Wenbo V. Li، نويسنده , , Rakesh ?، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2007
Pages
15
From page
1452
To page
1466
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.
© 2006 Elsevier Inc. All rights reserved
Keywords
John’s theorem , Determinant maximization , Ellipsoid
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2007
Journal title
Journal of Mathematical Analysis and Applications
Record number
935841
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