1-2 Vector and matrix norms

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  • เผยแพร่เมื่อ 11 ม.ค. 2025

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  • @yusramonem4482
    @yusramonem4482 2 ปีที่แล้ว

    Thank you so much. I found the best explanation for an upcoming presentation.

  • @MathematicsMadeSimple1
    @MathematicsMadeSimple1 2 ปีที่แล้ว +2

    Easy to follow, thanks!

  • @anoushkabarthakur2314
    @anoushkabarthakur2314 ปีที่แล้ว +2

    Hi sir, how would you show that induced matrix norms are sub-multiplicative?

    • @martijnanthonissen
      @martijnanthonissen  ปีที่แล้ว

      Sorry for the delay! I forgot about your question. You can find a proof here: math.stackexchange.com/questions/435621/show-that-the-operator-norm-is-submultiplicative

  • @wilsonailen5015
    @wilsonailen5015 10 หลายเดือนก่อน +1

    please, can you send me a link to find the gradient(derivative) of norms? thank you

    • @martijnanthonissen
      @martijnanthonissen  10 หลายเดือนก่อน

      You probably need the derivative of the 2-norm? I think you can find that yourself! Just try differentiating its definition in components

  • @yasir9909
    @yasir9909 2 ปีที่แล้ว

    Sir, how could we compute L-1/L-infinity Mixed induced matrix and vector norms?

    • @martijnanthonissen
      @martijnanthonissen  2 ปีที่แล้ว +1

      You may find this useful: nhigham.com/2021/10/12/what-is-a-matrix-norm/

    • @yasir9909
      @yasir9909 2 ปีที่แล้ว

      @@martijnanthonissen Thank you, Sir, your lectures are good for learning fundamental concepts of Linear Algebra.
      Actually, I am trying to understand the introduction of sparsity in control signals through the use of L1 and L0 Norms...