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update readme
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wangjie212 committed Aug 15, 2024
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## Polynomial matrix optimization
The polynomial matrix optimization aims to minimize the smallest eigenvalue of a polynomial matrix subject to a tuple of polynomial matrix inequalties (PMIs), which can be formulized as

$$\mathrm{inf}_{\mathbf{x}\in\mathbf{K}}\ \lambda_{\mathrm{min}}(F(\mathbf{x})),$$
$$\mathrm{inf}_{\mathbf{x}\in\mathbf{K}}\ \lambda\_{\mathrm{min}}(F(\mathbf{x})),$$

where $F\in\mathbb{S}[\mathbf{x}]^p$ is a $p\times p$ symmetric polynomial matrix and $\mathbf{K}$ is the basic semialgebraic set

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