Nonnegative solutions of a class of systems of algebraic equations

Tangan Gao; Haiyan Wang; Mengnien Wu

Nonnegative solutions of a class of systems of algebraic equations

Tangan Gao, Haiyan Wang, Mengnien Wu

Mathematical and Natural Sciences, School of (SMNS)

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

In this paper, we study the existence of nonnegative solutions of the nonlinear system of n equations x =λAF(x), where the parameter A > 0, A is an n ×.n real matrix A, F(x) maps R₊ⁿ to Rⁿ with AF(x) ≥ 0 for all X e R″. Our results may allow negative elements in A and significantly extend and improve those in the literature. Sharp bounds for the parameter A are also given.

Original language	English (US)
Pages (from-to)	211-220
Number of pages	10
Journal	Dynamic Systems and Applications
Volume	23
Issue number	2-3
State	Published - Jun 1 2014

ASJC Scopus subject areas

Mathematics(all)

Cite this

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abstract = "In this paper, we study the existence of nonnegative solutions of the nonlinear system of n equations x =λAF(x), where the parameter A > 0, A is an n ×.n real matrix A, F(x) maps R+n to Rn with AF(x) ≥ 0 for all X e R″. Our results may allow negative elements in A and significantly extend and improve those in the literature. Sharp bounds for the parameter A are also given.",

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N2 - In this paper, we study the existence of nonnegative solutions of the nonlinear system of n equations x =λAF(x), where the parameter A > 0, A is an n ×.n real matrix A, F(x) maps R+n to Rn with AF(x) ≥ 0 for all X e R″. Our results may allow negative elements in A and significantly extend and improve those in the literature. Sharp bounds for the parameter A are also given.

AB - In this paper, we study the existence of nonnegative solutions of the nonlinear system of n equations x =λAF(x), where the parameter A > 0, A is an n ×.n real matrix A, F(x) maps R+n to Rn with AF(x) ≥ 0 for all X e R″. Our results may allow negative elements in A and significantly extend and improve those in the literature. Sharp bounds for the parameter A are also given.

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Nonnegative solutions of a class of systems of algebraic equations

Abstract

ASJC Scopus subject areas

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