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Nov 1, 2022 at 19:23 history became hot network question
Nov 1, 2022 at 18:57 comment added Joseph Van Name I’m voting to close this question because a counterexample can easily be obtained by computer calculations by testing random matrices.
Nov 1, 2022 at 18:25 answer added Christian Remling timeline score: 6
Nov 1, 2022 at 13:56 history edited Iosif Pinelis CC BY-SA 4.0
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Nov 1, 2022 at 13:53 comment added Iosif Pinelis @GrishaTaroyan : Since positive operators were mentioned, it appears that the order in question is the Loewner order. I have taken the liberty to edit the post accordingly.
Nov 1, 2022 at 13:48 history edited Iosif Pinelis CC BY-SA 4.0
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Nov 1, 2022 at 13:47 comment added CommunityBot Please clarify your specific problem or provide additional details to highlight exactly what you need. As it's currently written, it's hard to tell exactly what you're asking.
Nov 1, 2022 at 13:46 comment added Grisha Taroyan I am also curious what is meant by $\le$ relation on operators. Is it supposed to be a lexicographic order on matrices with respect to a certain fixed basis?
Nov 1, 2022 at 13:45 comment added Iosif Pinelis @DavidRoberts : I think "operator" here is supposed to mean "linear operator". The matrix functions (here, matrix power functions) can then be defined in a standard manner -- cf. e.g. nhigham.com/2020/06/09/what-is-a-matrix-function
Nov 1, 2022 at 13:16 review Close votes
Nov 7, 2022 at 3:04
Nov 1, 2022 at 13:06 history edited Iosif Pinelis CC BY-SA 4.0
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Nov 1, 2022 at 12:44 answer added Iosif Pinelis timeline score: 5
Nov 1, 2022 at 12:02 comment added David Roberts What do you mean by 'operator' here? And then what does the power mean?
S Nov 1, 2022 at 11:17 review First questions
Nov 1, 2022 at 13:47
S Nov 1, 2022 at 11:17 history asked Jim CC BY-SA 4.0