Wielandt inequality
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In mathematics, the Wielandt inequality is a particular case of the Hölder inequality. It is equivalent to the Cauchy–Schwarz–Bunyakovsky inequality and Kantorovich inequality, which are also special cases of the Hölder inequality.
Wielandt and relevant inequalities are used to describe relations among Wishart matrices and to introduce alternative multivariate measures of association with their corresponding upper bounds.[1] [2]
See also
References
- ↑ Liu, Shuangzhe; Lu, Changyu; Puntanen, Simo (2009). "Matrix trace Wielandt inequalities with statistical applications". Journal of Statistical Planning and Inference. 139: 2254–2260.
- ↑ Fujimoto, M.; Seo, Y (2018). "Matrix Wielandt inequality via the matrix geometric mean". Linear and Multilinear Algebra. 66: 1564–1577.
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