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Vít Tuček
Vít Tuček
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Find a Quadratic matrix equation for $X\in \mathbb{C}^{ n\times p}$ with Hermitian parameters

Let $A\in \mathbb{C}^{ n\times n}$ and $B \in \mathbb{C}^{p \times p}$ be a Hermitian matrix then find amatrices with $p < n$.

Find matrix $X$ such that $X^*AX=B$ where$X^*AX=B.$

Solution in the case of positive definite $B \in \mathbb{C}^{p \times p}$ is a given Hermitian matrix$A$ and $p< n$$B$ was given here.

Find a matrix $X\in \mathbb{C}^{ n\times p}$

Let $A\in \mathbb{C}^{ n\times n}$ be a Hermitian matrix then find a matrix $X$ such that $X^*AX=B$ where $B \in \mathbb{C}^{p \times p}$ is a given Hermitian matrix and $p< n$.

Quadratic matrix equation for $X\in \mathbb{C}^{ n\times p}$ with Hermitian parameters

Let $A\in \mathbb{C}^{ n\times n}$ and $B \in \mathbb{C}^{p \times p}$ be Hermitian matrices with $p < n$.

Find matrix $X$ such that $X^*AX=B.$

Solution in the case of positive definite $A$ and $B$ was given here.

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Saheb
Saheb
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Let $K\in \mathbb{C}^{ n\times n}$$A\in \mathbb{C}^{ n\times n}$ be a Hermitian matrix then find a matrix $X$ such that $X^TAX=B$$X^*AX=B$ where $B \in \mathbb{C}^{p \times p}$ is a given Hermitian matrix and $p< n$.

Let $K\in \mathbb{C}^{ n\times n}$ be a Hermitian matrix then find a matrix $X$ such that $X^TAX=B$ where $B \in \mathbb{C}^{p \times p}$ is a given Hermitian matrix and $p< n$.

Let $A\in \mathbb{C}^{ n\times n}$ be a Hermitian matrix then find a matrix $X$ such that $X^*AX=B$ where $B \in \mathbb{C}^{p \times p}$ is a given Hermitian matrix and $p< n$.

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Saheb
Saheb
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Find a matrix $X\in \mathbb{C}^{ n\times p}$

Let $K\in \mathbb{C}^{ n\times n}$ be a Hermitian matrix then find a matrix $X$ such that $X^TAX=B$ where $B \in \mathbb{C}^{p \times p}$ is a given Hermitian matrix and $p< n$.