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Apr 13, 2017 at 12:57 history edited CommunityBot
replaced http://mathoverflow.net/ with https://mathoverflow.net/
Jan 23, 2015 at 21:06 comment added Suvrit @GottfriedHelms: Yes, for commuting matrices, the question will boil down to $|a^r - b^r| \le |a-b|^r$ for $a,b \ge 0$.
Jan 23, 2015 at 18:00 comment added Gottfried Helms Could the OP's statement be true for commuting matrices? (I guess so)
Jan 19, 2015 at 20:42 vote accept Mateusz Wasilewski
Jan 17, 2015 at 14:45 comment added Suvrit @MateuszWasilewski: Lower bounds on $\sigma_n$ are just too useful to be easily had :-) --- even the majorization result that I cited was quite nontrivial and took a few years of effort to get proved!
Jan 17, 2015 at 14:21 comment added Mateusz Wasilewski Suvrit, thank you for this counterexample. Unfortunately, this weak majorization would not be useful for the application that I have in mind.
Jan 17, 2015 at 13:10 history edited Suvrit CC BY-SA 3.0
added explicit example and more detailed citation to result that holds.
Jan 16, 2015 at 22:39 history answered Suvrit CC BY-SA 3.0