منابع مشابه
Sign patterns that require eventual exponential nonnegativity
Sign patterns that require exponential nonnegativity are characterized. A set of conditions necessary for a sign pattern to require eventual exponential nonnegativity are established. It is shown that these conditions are also sufficient for an upper triangular sign pattern to require eventual exponential nonnegativity and it is conjectured that these conditions are both necessary and sufficien...
متن کاملFunctions Preserving Nonnegativity of Matrices
The main goal of this work is to determine which entire functions preserve nonnegativity of matrices of a fixed order n— i.e., to characterize entire functions f with the property that f(A) is entrywise nonnegative for every entrywise nonnegative matrix A of size n×n. Towards this goal, we present a complete characterization of functions preserving nonnegativity of (block) uppertriangular matri...
متن کاملNonnegativity Constraints in Numerical Analysis
A survey of the development of algorithms for enforcing nonnegativity constraints in scientific computation is given. Special emphasis is placed on such constraints in least squares computations in numerical linear algebra and in nonlinear optimization. Techniques involving nonnegative low-rank matrix and tensor factorizations are also emphasized. Details are provided for some important classic...
متن کاملDeciding Nonnegativity of Polynomials by MAPLE
There have been some effective tools for solving (constant/parametric) semi-algebraic systems in Maple’s library RegularChains since Maple 13. By using the functions of the library, e.g., RealRootClassification, one can prove and discover polynomial inequalities. This paper is more or less a user guide on using RealRootClassification to prove the nonnegativity of polynomials. We show by example...
متن کاملIntegral and Nonnegativity Preserving Approximations of Functions
In this paper we consider the problem of approximating a function by continuous piecewise linear functions that preserve the integral and nonnegativity of the original function.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2003
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-03-07297-6