Mathematical Problems in Engineering
 2020
DOI: 10.1155/2020/1787058
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The Feasibility of Homotopy Continuation Method for a Nonlinear Matrix Equation

Mengran Wang
1
,
Jing Li
2

Abstract: In this paper, we discuss the feasibility of homotopy continuation method for the nonlinear matrix equations X+∑i=1sBi∗X−1Bi+∑i=s+1mBi∗XtiBi=I with 0<ti<1. This iterative method does not depend on a good initial approximation to the solution of matrix equation.

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