The robustness of multivariate complex interval positive rational functions is studied. One of the main points made by S. Basu (1990) is on the robustness of the positive complex (PC) property for an n-variate complex interval rational function. Basu concluded that the PC property of the specific 16(2/sup n/)/sup 2/ extreme members of the set can imply the PC property of the set. In this work, it is proved that the PC property of an interval set of n-variate complex rational functions can be assured by the PC property of its certain 16(2/sup n/) extreme members which are a subset of those 16(2/sup n/)/sup 2/ extreme members defined by Basu.
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机译:研究了多元复合间隔正面合理功能的鲁棒性。 S. Basu(1990)所制作的主要点之一是正复合物(PC)属性的鲁棒性,用于N变变间隔合理函数。 Basu得出结论,特定16(2 / SUP N /)/ SUP 2 / Extreme成员的PC属性可以暗示集合的PC属性。 在这项工作中,证明了一定的16(2 / SUP N /)极端成员的PC属性可以确保一个间隔的N变化复杂合理函数的PC属性,这是那16的子集( 2 / sup n /)/ sup 2 /由basu定义的极端成员。
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