主子式递增的非负定埃尔米特矩阵
Nonnegative definite hermitian matrices with increasing principal minors
摘要：
一个非零非负定埃尔米特m × m矩阵A有递增的主子式，如果A的每个主子式的值不小于它的每个子式的值。对于$m>1$，我们证明了$A$具有递增的主子式当且仅当$A^{-1}$存在且其对角项小于或等于1。
英文摘要：
A nonzero nonnegative definite hermitian m by m matrix A has increasing principal minors if the value of each principle minor of A is not less than the value each of its subminors. For $m>1$ we show $A$ has increasing principal minors if and only if $A^{-1}$ exists and its diagonal entries are less or equal to 1.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
