Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772966 | Linear Algebra and its Applications | 2017 | 18 Pages |
Abstract
In this paper we solve nonlinear matrix equations of the formXδ=Q+âi=1p(AiâFi(X)Ai)ri andXδ=Q+âi=1p(AiâFi(X)Ai)ri+âj=1q(BjâGj(X)Bj)qj, where δâ(ââ,â1]âª[1,â), ri,qjâ[â1,1], QâP(n), the collection of all nÃn Hermitian positive definite matrices and Ai,Bj's are nÃn matrices, also Fi,Gj's are monotone mappings from P(n) into P(n). Examples are given to illustrate that the equations can not be solved by previously known theorems.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Snehasish Bose, Sk Monowar Hossein, Kallol Paul,