These lecture notes are concerned with several topics in matrix analysis covering the Löwner and Kraus theory on matrix/operator monotone and convex functions, the Kubo-Ando theory on operator means, spectral variation and majorization, and means for matrices. Matrix norm inequalities related to majorization and means for matrices are also discussed.
CITATION STYLE
HIAI, F. (2010). Matrix Analysis: Matrix Monotone Functions, Matrix Means, and Majorization. Interdisciplinary Information Sciences, 16(2), 139–246. https://doi.org/10.4036/iis.2010.139
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