QR decomposition (for square matrices)

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  • Опубликовано: 8 ноя 2024

Комментарии • 84

  • @brightsideofmaths
    @brightsideofmaths  2 года назад +6

    Download the PDF version here: tbsom.de/s/ov

  • @jabir5768
    @jabir5768 3 года назад +40

    Finally someone that doesnt waste time, and shows clear precise explanations, thanks a lot

  • @alexman97412
    @alexman97412 3 года назад +29

    I'm french and you are a german speaking english explaining this better than my teacher ... thanks

    • @brightsideofmaths
      @brightsideofmaths  3 года назад +15

      Thank you very much! I will also do some French tutorials in future :)

  • @moncef2733
    @moncef2733 3 года назад +8

    I'm french, and I still can't understand the lack of explanation of my french teacher considering an english teacher just explained me way better how this works in 15 minutes than my teacher in 3 months. tysm ❤

  • @PunmasterSTP
    @PunmasterSTP 2 года назад +4

    QR decomposition? More like "This is excellent exposition!" Thanks again so much for all of these videos.

    • @zuper5842
      @zuper5842 7 месяцев назад

      charro

    • @PunmasterSTP
      @PunmasterSTP 7 месяцев назад

      @@zuper5842What does that mean?

  • @amaramar4969
    @amaramar4969 9 месяцев назад

    quick , clear and complete. Why doesn't my college prof explain like you? Thanks! I subscribed.

  • @richardzhou2659
    @richardzhou2659 4 года назад +10

    Your videos are so nicely made I'm motivated to learn German just to understand some of them 😂. Hope you're well!

  • @umbranocturna6342
    @umbranocturna6342 4 года назад +4

    Helps a lot with my Exam preperations.

    • @PunmasterSTP
      @PunmasterSTP 2 года назад

      How'd your exams go?

    • @umbranocturna6342
      @umbranocturna6342 2 года назад +1

      @@PunmasterSTP barely passed

    • @PunmasterSTP
      @PunmasterSTP 2 года назад

      @@umbranocturna6342 Hey, a pass is a pass! How have things been going since then?

  • @vanhoa2856
    @vanhoa2856 2 года назад +2

    so touching for an excellent video

  • @MattaparthiShivaBhargav
    @MattaparthiShivaBhargav Год назад

    i love the energy and thankyou very much for explanation.

  • @galeboetticher5373
    @galeboetticher5373 3 года назад +3

    This is Gold

  • @PavelVlasak
    @PavelVlasak 4 года назад +1

    Thanks, crystal clear and easy to understand explanation

  • @indumathi5182
    @indumathi5182 Год назад

    Thanks a lot sir, I understood the actual meaning Gram Schmidt process as well as QR decomposition.

  • @lancelofjohn6995
    @lancelofjohn6995 3 года назад +2

    Thank you, your video save my exercise!

  • @stryckeurs9250
    @stryckeurs9250 5 месяцев назад

    Even if english isn't my native language so its a little bit complicated ur video is amazing thank you

    • @animenmusic16
      @animenmusic16 22 дня назад +1

      The accent is sometimes hard for me to catch but the video is great

  • @rosarionight7633
    @rosarionight7633 3 года назад +2

    A really nice explication for the theory behind the QR Method in Numerical Methods ! Thank you !

  • @mkt92z
    @mkt92z 7 месяцев назад

    before normalizing, werent you suppose to divide by the dot product by ?

    • @yuyuhe9874
      @yuyuhe9874 5 месяцев назад

      You are correct. But since q1 is normalized which makes its dot product equals 1, it is skipped.

  • @lorenamamede8442
    @lorenamamede8442 Год назад

    Thank you so much!! Perfect explanation!

  • @TheRojo387
    @TheRojo387 Год назад

    I read that this method is useful for finding the roots of polynomials via repeating the process to estimate limits that represent the eigenvalues of the equivalent matrix.

  • @strai5150
    @strai5150 4 года назад +8

    ...yo bruh!! Stay safe from covid19✌️

  • @shyamyadav3163
    @shyamyadav3163 4 года назад +1

    Thank you so much. Your videos are awesome.

  • @esi5743
    @esi5743 5 месяцев назад

    Very helpful, thank you!

  • @larubiano0
    @larubiano0 2 года назад

    Thx, great help + easy explanation

  • @polarettoallasbugba
    @polarettoallasbugba 4 года назад +5

    These videos are awesome, thank you for everything. Do you plan to translate your linear algebra series to English as well?

    • @brightsideofmaths
      @brightsideofmaths  4 года назад +3

      Yes, I am working on it :) ruclips.net/p/PLBh2i93oe2qtXb7O-kPaEhAtFEb3n9Huu

  • @mathewalter
    @mathewalter 4 года назад +1

    Many thanks for this inspiring and profesional talk. What software do you use for recording and writing?

    • @PunmasterSTP
      @PunmasterSTP 2 года назад

      I've seen him mention elsewhere that he uses Xournal.

  • @syc8066
    @syc8066 5 месяцев назад

    Would you consider doing a video on the SVD?

  • @sourabhsingh341
    @sourabhsingh341 Год назад

    Wie geht es ihnen!?
    I am new in Germany and loving this country

  • @ahsink.3080
    @ahsink.3080 2 года назад

    Thank you so much, you really helped

  • @calinopincariu5530
    @calinopincariu5530 4 года назад +1

    Nice, thank you!

  • @VladKozulin
    @VladKozulin Год назад

    realy good video thank you a lot

  • @kautukraj
    @kautukraj 4 года назад +1

    Very helpful!

  • @TonyaMcVicker-v8s
    @TonyaMcVicker-v8s Месяц назад

    Hettinger Divide

  • @hopelesssuprem1867
    @hopelesssuprem1867 Год назад

    I've just solved your last example and it was hard)

  • @KrysiaJadzińska
    @KrysiaJadzińska Год назад

    excellent video

  • @Zikkiii
    @Zikkiii 11 месяцев назад

    thank you sosososo much😍

  • @souadbougadi2417
    @souadbougadi2417 6 месяцев назад

    What is Q come the name what might for example décomposition of LU
    L lower
    U Upper

    • @brightsideofmaths
      @brightsideofmaths  6 месяцев назад

      Q could refer to "orthogonal matrix" where O is not used for obvious reasons :D

  • @robn2067
    @robn2067 4 года назад +1

    Don't you have to consider the sign in front of scalar products in your R matrix?

    • @hamzahajjou5221
      @hamzahajjou5221 3 года назад

      The matrix R contains scalar products only without the sign

  • @Tarzan_of_the_Ocean
    @Tarzan_of_the_Ocean Год назад

    very good video🤝🙏👏

  • @Baskakwiatkowska
    @Baskakwiatkowska Год назад +2

    Thank you!

  • @MrJeromelejeune
    @MrJeromelejeune Год назад

    Hello, nice tutorial however, could you explain why signs are completly the opposite when we compute it on matlab?
    I had the same problem on an other matrice: A=[1 2 3;2 4 5;1 6 7], when I apply [Q R]=qr(A), it returns me some negative values in R matrix. By definition it shouldn't be possible... could you explain this please?

  • @petersagitarius4356
    @petersagitarius4356 2 года назад

    please, do you have some url link to QR decomposition for non-sqare matrices ? (I read that QR is possible to apply for non-squared matrix also) Thanks.

    • @brightsideofmaths
      @brightsideofmaths  2 года назад

      It's not so different. Maybe wikipedia can already help you.

  • @zubairshaikh7093
    @zubairshaikh7093 2 года назад

    Thankyou Sir

  • @DennisB1109
    @DennisB1109 4 года назад +2

    Why is a1 = 1? I thought a1 is the vector (1 1)

    • @PunmasterSTP
      @PunmasterSTP 2 года назад

      I think you're right; a1 is the vector (1,1). But after you normalize it and make q1, then the magnitude of that normalized vector is 1.

  • @bashiruddin3891
    @bashiruddin3891 3 года назад +2

    Inserts "Nooice" gif

  • @souravsamant
    @souravsamant Год назад

    example 10:20

  • @JohnYuFitness
    @JohnYuFitness Год назад

    My gosh.. QR decomposition by hand for a 5x3 matrix A is so tedious...

  • @medaphysicsrepository2639
    @medaphysicsrepository2639 Год назад

    7:47

    • @brightsideofmaths
      @brightsideofmaths  Год назад +1

      13:30

    • @medaphysicsrepository2639
      @medaphysicsrepository2639 Год назад

      @@brightsideofmaths personal note bc I know im going to be coming back to this video again, great job

    • @brightsideofmaths
      @brightsideofmaths  Год назад +1

      @@medaphysicsrepository2639 Ah, personal notes should note in public comments :)
      Nice that you can use the video. I also have a whole course about linear algebra: tbsom.de/s/la

  • @佳蔚汤
    @佳蔚汤 2 года назад

    macam mana nak buat?