Inequalities : theory of majorization and its applications
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If the address matches an existing account you will receive an email with instructions to retrieve your username. International Statistical Review Volume 79, Issue 2. Read the full text. Tools Request permission Export citation Add to favorites Track citation. Share Give access Share full text access. Share full text access.
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An order-free characterization along the lines of Horn's theorem is also readily available. Intuitively, if majorizes , then is more "mixed" than. Horn's theorem relates the eigenvalues of a Hermitian matrix to its diagonal entries using majorization. Given two vectors , then majorizes iff there exists a Hermitian matrix with eigenvalues and diagonal entries.
Portions of this entry contributed by Serge Belongie. Bhatia, R. Matrix Analysis. New York: Springer-Verlag, Horn, R.
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Matrix Analysis, Repr. Cambridge, England: Cambridge University Press, Marshall, A. New York: Academic Press,