- #1

perplexabot

Gold Member

- 329

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Hey all! Let me get right to it!

It is given that $$A \succeq 0$$

I need the following to hold for [itex]M[/itex]: $$M^TAM\succeq 0$$

What are the constraints or conditions on [itex]M[/itex] for [itex]M^TAM\succeq 0[/itex] to hold?

Anything would help at this point... I am open to discussion.

Note: It may be worth mentioning that [itex]A[/itex] is a given matrix where as [itex]M[/itex] is variable.

Thank you for reading : )

It is given that $$A \succeq 0$$

I need the following to hold for [itex]M[/itex]: $$M^TAM\succeq 0$$

What are the constraints or conditions on [itex]M[/itex] for [itex]M^TAM\succeq 0[/itex] to hold?

Anything would help at this point... I am open to discussion.

Note: It may be worth mentioning that [itex]A[/itex] is a given matrix where as [itex]M[/itex] is variable.

Thank you for reading : )

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