Learn · Numerical Linear Algebra and Application

Lecture 42 of 63Week 9 :

Lecture 42 : Krylov subspace methods

Prof. Srinivasa Rao Pentyala · IIT-ISM Dhanbad

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Numerical Linear Algebra and Application, IIT-ISM Dhanbad (at NPTEL)
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All the lectures

  1. Lecture 01 : Linear Algebra and Introduction Video
  2. Lecture 02 : Computational Difficulties Video
  3. Lecture 03 : Computational Error Video
  4. Lecture 04 : Stability Video
  5. Lecture 05: Gaussian Elimination Video
  6. Lecture 06 : LU Factorization Video
  7. Lecture 07 : Iterative refinement Video
  8. Lecture 08 : QR Factorization Video
  9. Lecture 09 : Gram-Schmidt Orthogonalization Video
  10. Lecture 10 : Cholesky Decomposition Video
  11. Lecture 11: Projections Video
  12. Lecture 12 : House-Holder Reflectors Video
  13. Lecture 13 : Image Compression Video
  14. Lecture 14 : Singular Value Decomposition Video
  15. Lecture 15 : Least Square Solutions Video
  16. Lecture 16 : Pseudo-Inverse Video
  17. Lecture 17 : Normal Equations Video
  18. Lecture 18 : Eigenvalue problems Video
  19. Lecture 19 : Gershgorin Theorem Video
  20. Lecture 20 : Similarity Transforms Video
  21. Lecture 21 : Eigenvalues Video
  22. Lecture 22 : Sensitivity Vectors Video
  23. Lecture 23 : Power method Video
  24. Lecture 24 : Schur Decomposition Video
  25. Lecture 25 : Jordan Canonical form Video
  26. Lecture 26 : QR Iteration Video
  27. Lecture 27 : Heisenberg transformation Video
  28. Lecture 28 : Rayleigh Quotient Video
  29. Lecture 29 : Symmetric eigenvalue problem Video
  30. Lecture 30 : Jacobi Method Video
  31. Lecture 31 : Divide and Conquer Video
  32. Lecture 32 : Computing the Singular Value Decomposition Video
  33. Lecture 33 : Golub-Kahan-Reinsch Algorithm Video
  34. Lecture 34 : Chan SVD Algorithm Video
  35. Lecture 35 : Generalized SVD Video
  36. Lecture 36 : Generalized and Quadratic Eigenvalue Problems Video
  37. Lecture 37 : Generalized Schur Decomposition (QZ Decomposition) Video
  38. Lecture 38 : Iterative Methods for Large Linear Systems: Jacobi Video
  39. Lecture 39 : Iterative methods for large linear systems: Gauss-Seidel method Video
  40. Lecture 40 : Iterative methods for large linear systems: SOR method Video
  41. Lecture 41 : Convergence of iterative algorithms Video
  42. Lecture 42 : Krylov subspace methods Video
  43. Lecture 43 : Lanczos Video
  44. Lecture 44 : Arnoldi Video
  45. Lecture 45 : Stability of the Cholesky QR Algorithm Video
  46. Lecture 46 : Conditioning of the eigenvalues Video
  47. Lecture 47 : Symmetric definite pencil Video
  48. Lecture 48 : AI applications Video
  49. Lecture 49 : Sensitive systems Video
  50. Lecture 50 : Real Life Systems Video
  51. Lecture 51 : Transient thermal systems Video
  52. Lecture 52 : Left Inverse Video
  53. Lecture 53 : Right Inverse Video
  54. Lecture 54 : Generalized Inverse Video
  55. Lecture 55 : Applications Video
  56. Lecture 56 : Applications (Contd.) Video
  57. Lecture 57 : Applications (Contd.) Video
  58. Lecture 58 : Applications (Contd.) Video
  59. Lecture 59 : Applications (Contd.) Video
  60. Lecture 60 : Applications of the Matrices in Real Life Systems Video
  61. Lecture 61 : Matrices and Its Fundamentals: Recalling Examples Video
  62. Lecture 62 : Properties of Matrices: Recalling and Revision, Examples Video
  63. Lecture 63 : Matrices: Finite Digit Arithmetic: recalling and Examples Video