1 / 13

N EVĚŘTE POČÍTAČŮM

N EVĚŘTE POČÍTAČŮM. Radek Kučera Ostrava 7.6.2006. Jak vyřešit úlohu ?. Nabouch ám to do počítače. Počítač může umět všechno ???. Hilbertova matice. inverzní matice :. Hilbertova matice. n=7, A=hilb(n), B=inv(A), mesh(A*B) n=12. Hilbertova matice.

abie
Télécharger la présentation

N EVĚŘTE POČÍTAČŮM

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. NEVĚŘTE POČÍTAČŮM Radek Kučera Ostrava 7.6.2006

  2. Jak vyřešit úlohu ? • Nabouchám to do počítače. • Počítač může umět všechno ???

  3. Hilbertova matice • inverzní matice:

  4. Hilbertova matice n=7, A=hilb(n), B=inv(A), mesh(A*B) n=12

  5. Hilbertova matice n=12, A=hilb(n), B=invhilb(n), mesh(A*B) n=13

  6. Polynomy • poly výpočet koeficientů z kořenů • roots výpočet kořenů z koeficientů

  7. Polynomy k=1:5, a=poly(k), kk=roots(a) 1 1 5.0000 2 -1 4.0000 3 85 3.0000 4 -22 2.0000 5 274 1.0000 -120

  8. 1 20.0003 2 18.9981 3 18.0065 4 16.9875 5 16.0139 6 14.9920 7 13.9996 8 13.0046 9 11.9963 10 11.0012 11 10.0001 12 8.9997 13 8.0001 14 7.0000 15 6.0000 16 5.0000 17 4.0000 18 3.0000 19 2.0000 20 1.0000 1 20.9966 2 20.0315 3 18.7863 4 18.3944 5 16.5688 + 0.5914i 6 16.5688 - 0.5914i 7 14.4519 + 0.6258i 8 14.4519 - 0.6258i 9 12.4132 + 0.2544i 10 12.4132 - 0.2544i 11 10.8915 12 10.0399 13 8.9905 14 8.0019 15 6.9997 16 6.0000 17 5.0000 18 4.0000 19 3.0000 20 2.0000 21 1.0000 k=1:21 k=1:20

  9. Grafy x=0:0.01:1; y=sin(x); plot(x,y)

  10. Grafy x=0:0.01:1; y=x.*sin(1./x); plot(x,y)

  11. Grafy k=1:5; a=poly(k); x=1:0.01:5; y=polyval(a,x); plot(x,y)

  12. Grafy k=1:21; a=poly(k); x=1:0.01:5; y=polyval(a,x); plot(x,y)

  13. Grafy k=1:26; a=poly(k); x=1:0.01:5; y=polyval(a,x); plot(x,y)

More Related