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In MATLAB, there is a command called hilb(n) which it says gives a Hilbert matrix of order n. Is this matrix the one used for Hilbert transformation?

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No, the Hilbert matrix has nothing to do with the Hilbert transform, other than that both are named after the famous German mathematician David Hilbert.

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  • $\begingroup$ Thanks Matt L for the clarification. I also did not see any relation and your answer confirmed my opinion. But I doubted if David Hilbert has anything to do with the two different things especially the Hilbert matrix. $\endgroup$ – Seetha Rama Raju Sanapala Mar 7 '16 at 8:02
  • $\begingroup$ @SeethaRamaRaju: He does (as with lots of other things). Read the article I linked to. $\endgroup$ – Matt L. Mar 7 '16 at 8:04
  • $\begingroup$ L: Thank you. I saw the links now, clear now why MATLAB named them the way it did. Thanks for your full answers. $\endgroup$ – Seetha Rama Raju Sanapala Mar 7 '16 at 8:10
  • $\begingroup$ I would love to know of a connection. You can check the unanswered question Hilbert transform and Hilbert matrix $\endgroup$ – Laurent Duval Mar 7 '16 at 21:10

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