论文标题
计算完全正面地图的混合schatten规范
Computing mixed Schatten norm of completely positive maps
论文作者
论文摘要
计算矩阵的计算$ p \ rightarrow q $规范是计算数学和电源迭代中的经典问题，是一种用于计算具有非负条目的矩阵的$ p \ rightarrow q $ norm的知名方法。在这里，我们为计算$ S_P \ rightarrow s_q $ norm的等效迭代方法的完全正面地图，其中$ s_p $是schatten $ p $ norm。我们将矩阵设置中几乎所有定义，属性，引理等定义概括为完全正面的地图，并在这种情况下证明了重要的定理。
Computing $p \rightarrow q$ norm for matrices is a classical problem in computational mathematics and power iteration is a well-known method for computing $p \rightarrow q $ norm for a matrix with nonnegative entries. Here we define an equivalent iteration method for computing $ S_p \rightarrow S_q $ norm for completely positive maps where $S_p$ is the Schatten $p$ norm. We generalize almost all of the definitions, properties, lemmas, etc. in the matrix setting to completely positive maps and prove an important theorem in this setting.
