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Loïc Teyssier
Loïc Teyssier
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I am looking to solve the following matrix equation for G$G$

GHG - M = 0$$GHG + M = 0$$

where G$G$, H$H$, and M$M$ are square, symmetric, real matrices. H$H$ is negative-definite and M$M$ is positive-definite. G$G$ should also be positive-definite.

Is it possible?

Many thanks!

I am looking to solve the following matrix equation for G

GHG - M = 0

where G, H, and M are square, symmetric, real matrices. H is negative-definite and M is positive-definite. G should also be positive-definite.

Is it possible?

Many thanks!

I am looking to solve the following matrix equation for $G$

$$GHG + M = 0$$

where $G$, $H$, and $M$ are square, symmetric, real matrices. $H$ is negative-definite and $M$ is positive-definite. $G$ should also be positive-definite.

Is it possible?

Many thanks!

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PerturbedBiologist
PerturbedBiologist
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How to solve a non-homogeneous quadratic matrix equation?

I am looking to solve the following matrix equation for G

GHG - M = 0

where G, H, and M are square, symmetric, real matrices. H is negative-definite and M is positive-definite. G should also be positive-definite.

Is it possible?

Many thanks!