I know that if $B$ is positive definite, then $ABA$ is also positive definite, and so this works. But I am looking for weaker conditions that can ensure a (weaker) result of positive diagonal elements, and I am not sure how to proceed
2026-04-08 02:37:47.1775615867
If $A$ is positive definite, and $B$ is symmetric, when does $ABA$ have (strictly) positive diagonal elements?
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