On the Positive Definite Solutions of the Nonlinear Matrix Equation X-A^{*}X^{-s}A-B^{*}X^{-t}B=I

Al-Dubiban, Asmaa M.; El-Sayed, Salah M.

doi:10.5899/2012/cna-00116

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“…Friedman et al introduced a general model for solving fuzzy linear systems [12]. A method for solving nonlinear matrix equation was given in [11]. Solving fuzzy linear systems have been studied by many authors [3,4,6,13].…”

Section: Introductionmentioning

confidence: 99%

Minimal solution for inconsistent singular fuzzy matrix equations

Nikuie¹,

Mirnia²

2013

Communications in Numerical Analysis

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The fuzzy matrix equations AX =Ỹ is called a singular fuzzy matrix equations while the coefficients matrix of its equivalent crisp matrix equations be a singular matrix. The singular fuzzy matrix equations are divided into two parts: consistent singular matrix equations and inconsistent fuzzy matrix equations. In this paper, the inconsistent singular fuzzy matrix equations is studied and the effect of generalized inverses in finding minimal solution of an inconsistent singular fuzzy matrix equations are investigated.

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