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nLab > Latest Changes: Gershgorin circle theorem

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeApr 21st 2021

    starting something, but nothing much here yet

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeApr 21st 2021

    my Cafe wifi seems to throttle pdf-s. Maybe somebody can help me upload Meckes’ lecture notes pdf to here

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeApr 21st 2021

    added statement and an Idea-line

    v1, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeApr 21st 2021

    never mind, uploaded now

    v1, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeApr 23rd 2021
    • (edited Apr 23rd 2021)

    I am looking now for strengthening of the theorem in the case of matrices with non-negative entries. Here is one such:

    • Imre Bárány, József Solymosi, Gershgorin disks for multiple eigenvalues of non-negative matrices (arXiv:1609.07439)

    Unfortunately, this result applies only to eigenvalues of higher multiplicity.

    diff, v4, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeApr 24th 2021

    added pointer to:

    and full publication data to:

    • Imre Bárány, József Solymosi, Gershgorin disks for multiple eigenvalues of non-negative matrices, In: M. Loebl, J. Nešetřil, R. Thomas (eds.) A Journey Through Discrete Mathematics, Springer, Cham. 2017 (arXiv:1609.07439, doi:10.1007/978-3-319-44479-6_6)

    Should also add the series of articles by Marsli and Hall

    diff, v7, current

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeApr 24th 2021

    added pointer to

    together with statement of their result, that an eigenvalue of multiplicity kk lies in at least kk Gershgorin discs.

    diff, v7, current

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeApr 27th 2021

    added statement (here) of the strengthened theorem by Barany-Solymosi 16, for matrices with non-negative entries

    diff, v8, current

  9. added statement (here) of the strengthened theorem by Barany-Solymosi 16, for matrices with non-negative entries

    Anonymoose

    diff, v9, current

1 to 9 of 9

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