Encyclopedia > M > Majorization
Majorization
In mathematics, majorization is a partial order over vectors of real numbers. Given mathbf{a},mathbf{b} in mathbb{R}^d, we say that mathbf{a} majorizes mathbf{b}, and we write mathbf{a} geq_M mathbf{b}, if sum_{i=1}^d a_i = sum_{i=1}^d b_i and for all k in {1, ldots, d},
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