Are positive definite matrices robust to "small changes"? – math.stackexchange.com

Are positive definite matrices robust to "small changes"? – math.stackexchange.com

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Let $A$ be a positive definite matrix and let $B$ be some other symmetric matrix. Consider the matrix $$ C=A+\varepsilon B. $$ for some $\varepsilon>0$. Is it true that for $\varepsilon$ small ...

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