Interval polynomial positivityIt is shown that a univariate interval polynomial is globally positive if and only if two extreme polynomials are globally positive. It is shown that the global positivity property of a bivariate interval polynomial is completely determined by four extreme bivariate polynomials. The cardinality of the determining set for k-variate interval polynomials is 2k. One of many possible generalizations, where vertex implication for global positivity holds, is made by considering the parameter space to be the set dual of a boxed domain.
Document ID
19900053840
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Bose, N. K. (Pennsylvania State Univ. University Park, PA, United States)
Kim, K. D. (Pennsylvania State University University Park, United States)