Not signed in (Sign In)

Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

  • Sign in using OpenID

Site Tag Cloud

2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology definitions deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nforum nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

Welcome to nForum
If you want to take part in these discussions either sign in now (if you have an account), apply for one now (if you don't).

nLab > Latest Changes: Gershgorin circle theorem

Bottom of Page

1 to 9 of 9

  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 k lies in at least k 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

  1.