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We prove Zhan’s conjecture, and a related inequality for positive semidefinite matrices, using standard facts about principal submatrices, Kronecker products, and the spectral

A publication of the International Linear

A publication of the International Linear

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The Electronic Journal of Linear Algebra ISSN 1081-3810 A publication of the International Linear Algebra Society Volume

Structured matrices, Normwise structured perturbations, Structured linear sys- tems, Condition number, Backward error, Distance to singularity, Lie algebra, Jordan algebra,

Electronic Journal of Linear Algebra ISSN 1081-3810 A publication of the International Linear Algebra Society Volume 17, pp.. Combinatorial matrix classes