Linear Algebra: Bounding Eigenvalues Using Gershgorin Disks

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  • เผยแพร่เมื่อ 24 ก.ย. 2024

ความคิดเห็น • 8

  • @douglasespindola5185
    @douglasespindola5185 3 หลายเดือนก่อน +2

    This is gold content! Thank you for the class! Greetings from Brazil! Subscribed!

    • @marktronzo2109
      @marktronzo2109  3 หลายเดือนก่อน +1

      Thank you! I hope and pray all goes well for you!

  • @duckyoutube6318
    @duckyoutube6318 3 หลายเดือนก่อน +5

    I dont know what eigen-whatevers are but here i am.
    I have nothing else to do.

    • @Brad-qw1te
      @Brad-qw1te 3 หลายเดือนก่อน

      They are important for a lot of computery stuff

    • @douglasespindola5185
      @douglasespindola5185 3 หลายเดือนก่อน

      Check the "Essence of Linear Algebra" by 3blue1brown so you can visualize what eigen stuff are. Those classes are the best introduction to Linear Algebra that I know.

    • @lbgstzockt8493
      @lbgstzockt8493 3 หลายเดือนก่อน +1

      Usually multiplying a vector and a matrix gives a vector which points in a different direction from the one you started with. If you use an Eigenvector however it will point in the same direction, but scaled by some amount. That amount is the Eigenvalue. Finding Eigenvalues is required to calculate the Eigenvectors, so getting a good idea of where they are is helpful, especially for numerical algrorithms like the ones used by computers.

    • @duckyoutube6318
      @duckyoutube6318 3 หลายเดือนก่อน +1

      @lbgstzockt8493 Well thats not so complex. Thank you for the clear explanation.
      Self studying has some cons. One of them being no structure. And so i have gaps in understanding where others dont. For instance i learned how to use sigma notation for summation before learning the formal definition of a derivative. Kinda foolish but i cant resist. If i find something interesting, i try to learn about it.

  • @sk8erJG95
    @sk8erJG95 3 หลายเดือนก่อน

    Very cool!