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nonlinear equation with matrix inverse

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Yang
Yang 2013-11-22
编辑： Matt J 2013-11-22
Hi guys,
Is there a Matlab function that can give me the solution of the following nonlinear equation:
(A+b*X)^-1=C+d*X,
where A and C are invertible Hermitian matrices, and b>0 and d>0 are scalars, "*" denotes product.
Thanks for your attention:)

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回答（1 个）

Matt J
Matt J 2013-11-22
编辑：Matt J 2013-11-22
The equation can be reorganized as
(C+d*X)*(A+b*X)-eye(N)=0
or
(A+b*X)*(C+d*X)-eye(N)=0
This equation will not in general have a unique solution. It can also have no solutions. When X is 1x1, for example, it reduces to a quadratic equation.
However, you can try using FSOLVE to find one of the solutions.

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