# Numerical Linear Algebra and Application

- Institution: IIT-ISM Dhanbad
- Department: Mathematics
- Teacher: Prof. Srinivasa Rao Pentyala
- Level: Undergraduate
- Language: English
- Subjects: Mathematics
- Source: [NPTEL](https://nptel.ac.in/courses/111105417)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/111105417)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [Lecture 01 : Linear Algebra and Introduction](https://invisiblenetwork.ai/learn/nptel/111105417/cf323ffe5410) (Video)
2. [Lecture 02 : Computational Difficulties](https://invisiblenetwork.ai/learn/nptel/111105417/d021398518f9) (Video)
3. [Lecture 03 : Computational Error](https://invisiblenetwork.ai/learn/nptel/111105417/00e674a44698) (Video)
4. [Lecture 04 : Stability](https://invisiblenetwork.ai/learn/nptel/111105417/59560ac76cbd) (Video)
5. [Lecture 05: Gaussian Elimination](https://invisiblenetwork.ai/learn/nptel/111105417/b24eff5bb99e) (Video)
6. [Lecture 06 : LU Factorization](https://invisiblenetwork.ai/learn/nptel/111105417/0e27a0dd03b6) (Video)
7. [Lecture 07 : Iterative refinement](https://invisiblenetwork.ai/learn/nptel/111105417/91b7d283237b) (Video)
8. [Lecture 08 : QR Factorization](https://invisiblenetwork.ai/learn/nptel/111105417/732a12587a11) (Video)
9. [Lecture 09 : Gram-Schmidt Orthogonalization](https://invisiblenetwork.ai/learn/nptel/111105417/a1b5334a5e94) (Video)
10. [Lecture 10 : Cholesky Decomposition](https://invisiblenetwork.ai/learn/nptel/111105417/ef2d1867e202) (Video)
11. [Lecture 11: Projections](https://invisiblenetwork.ai/learn/nptel/111105417/c87270f0eb51) (Video)
12. [Lecture 12 : House-Holder Reflectors](https://invisiblenetwork.ai/learn/nptel/111105417/5b57fb58b2b2) (Video)
13. [Lecture 13 : Image Compression](https://invisiblenetwork.ai/learn/nptel/111105417/7e40dfee2152) (Video)
14. [Lecture 14 : Singular Value Decomposition](https://invisiblenetwork.ai/learn/nptel/111105417/30dc0604423d) (Video)
15. [Lecture 15 : Least Square Solutions](https://invisiblenetwork.ai/learn/nptel/111105417/9546b84b5623) (Video)
16. [Lecture 16 : Pseudo-Inverse](https://invisiblenetwork.ai/learn/nptel/111105417/b827fbe3092d) (Video)
17. [Lecture 17 : Normal Equations](https://invisiblenetwork.ai/learn/nptel/111105417/c7e984aaabec) (Video)
18. [Lecture 18 : Eigenvalue problems](https://invisiblenetwork.ai/learn/nptel/111105417/8563e74f770a) (Video)
19. [Lecture 19 : Gershgorin Theorem](https://invisiblenetwork.ai/learn/nptel/111105417/ab0f8113e91a) (Video)
20. [Lecture 20 : Similarity Transforms](https://invisiblenetwork.ai/learn/nptel/111105417/02af5c47267d) (Video)
21. [Lecture 21 : Eigenvalues](https://invisiblenetwork.ai/learn/nptel/111105417/d8f67f26d293) (Video)
22. [Lecture 22 : Sensitivity Vectors](https://invisiblenetwork.ai/learn/nptel/111105417/8f2fcf07c1e2) (Video)
23. [Lecture 23 : Power method](https://invisiblenetwork.ai/learn/nptel/111105417/dafafa204b10) (Video)
24. [Lecture 24 : Schur Decomposition](https://invisiblenetwork.ai/learn/nptel/111105417/94f2e02c0680) (Video)
25. [Lecture 25 : Jordan Canonical form](https://invisiblenetwork.ai/learn/nptel/111105417/7a500e44e86d) (Video)
26. [Lecture 26 : QR Iteration](https://invisiblenetwork.ai/learn/nptel/111105417/060692235fcb) (Video)
27. [Lecture 27 : Heisenberg transformation](https://invisiblenetwork.ai/learn/nptel/111105417/eb9f60914663) (Video)
28. [Lecture 28 : Rayleigh Quotient](https://invisiblenetwork.ai/learn/nptel/111105417/f6fc817af782) (Video)
29. [Lecture 29 : Symmetric eigenvalue problem](https://invisiblenetwork.ai/learn/nptel/111105417/84174c76996d) (Video)
30. [Lecture 30 : Jacobi Method](https://invisiblenetwork.ai/learn/nptel/111105417/fa7021568f18) (Video)
31. [Lecture 31 : Divide and Conquer](https://invisiblenetwork.ai/learn/nptel/111105417/8c7ef05dc9f9) (Video)
32. [Lecture 32 : Computing the Singular Value Decomposition](https://invisiblenetwork.ai/learn/nptel/111105417/fe49ab753820) (Video)
33. [Lecture 33 : Golub-Kahan-Reinsch Algorithm](https://invisiblenetwork.ai/learn/nptel/111105417/581fac68e5ac) (Video)
34. [Lecture 34 : Chan SVD Algorithm](https://invisiblenetwork.ai/learn/nptel/111105417/d87fe717d0f0) (Video)
35. [Lecture 35 : Generalized SVD](https://invisiblenetwork.ai/learn/nptel/111105417/4134e6092e50) (Video)
36. [Lecture 36 : Generalized and Quadratic Eigenvalue Problems](https://invisiblenetwork.ai/learn/nptel/111105417/3acd7e596e58) (Video)
37. [Lecture 37 : Generalized Schur Decomposition (QZ Decomposition)](https://invisiblenetwork.ai/learn/nptel/111105417/b9b018dad31e) (Video)
38. [Lecture 38 : Iterative Methods for Large Linear Systems: Jacobi](https://invisiblenetwork.ai/learn/nptel/111105417/48d2d9464a18) (Video)
39. [Lecture 39 : Iterative methods for large linear systems: Gauss-Seidel method](https://invisiblenetwork.ai/learn/nptel/111105417/9ca806294c29) (Video)
40. [Lecture 40 : Iterative methods for large linear systems: SOR method](https://invisiblenetwork.ai/learn/nptel/111105417/e01bade9edfb) (Video)
41. [Lecture 41 : Convergence of iterative algorithms](https://invisiblenetwork.ai/learn/nptel/111105417/6bf7a648082f) (Video)
42. [Lecture 42 : Krylov subspace methods](https://invisiblenetwork.ai/learn/nptel/111105417/7ef06c8b4f40) (Video)
43. [Lecture 43 : Lanczos](https://invisiblenetwork.ai/learn/nptel/111105417/5ef13d3aa4e6) (Video)
44. [Lecture 44 : Arnoldi](https://invisiblenetwork.ai/learn/nptel/111105417/22f7624d1c31) (Video)
45. [Lecture 45 : Stability of the Cholesky QR Algorithm](https://invisiblenetwork.ai/learn/nptel/111105417/65881055e11a) (Video)
46. [Lecture 46 : Conditioning of the eigenvalues](https://invisiblenetwork.ai/learn/nptel/111105417/9e4730ec0f63) (Video)
47. [Lecture 47 : Symmetric definite pencil](https://invisiblenetwork.ai/learn/nptel/111105417/48fe252997a3) (Video)
48. [Lecture 48 : AI applications](https://invisiblenetwork.ai/learn/nptel/111105417/e655b9bd3c1f) (Video)
49. [Lecture 49 : Sensitive systems](https://invisiblenetwork.ai/learn/nptel/111105417/23befca78fef) (Video)
50. [Lecture 50 : Real Life Systems](https://invisiblenetwork.ai/learn/nptel/111105417/f2c95988edea) (Video)
51. [Lecture 51 : Transient thermal systems](https://invisiblenetwork.ai/learn/nptel/111105417/2cda403e278a) (Video)
52. [Lecture 52 : Left Inverse](https://invisiblenetwork.ai/learn/nptel/111105417/4796fb9fe6c5) (Video)
53. [Lecture 53 : Right Inverse](https://invisiblenetwork.ai/learn/nptel/111105417/7119e62051c9) (Video)
54. [Lecture 54 : Generalized Inverse](https://invisiblenetwork.ai/learn/nptel/111105417/faeafa9918bd) (Video)
55. [Lecture 55 : Applications](https://invisiblenetwork.ai/learn/nptel/111105417/d061a55fd727) (Video)
56. [Lecture 56 : Applications (Contd.)](https://invisiblenetwork.ai/learn/nptel/111105417/a7c499dba821) (Video)
57. [Lecture 57 : Applications (Contd.)](https://invisiblenetwork.ai/learn/nptel/111105417/d09c1d54b6a3) (Video)
58. [Lecture 58 : Applications (Contd.)](https://invisiblenetwork.ai/learn/nptel/111105417/855b9dfa1db9) (Video)
59. [Lecture 59 : Applications (Contd.)](https://invisiblenetwork.ai/learn/nptel/111105417/d5b6759a43d7) (Video)
60. [Lecture 60 : Applications of the Matrices in Real Life Systems](https://invisiblenetwork.ai/learn/nptel/111105417/d144bc80c469) (Video)
61. [Lecture 61 : Matrices and Its Fundamentals: Recalling Examples](https://invisiblenetwork.ai/learn/nptel/111105417/186058fe3a2c) (Video)
62. [Lecture 62 : Properties of Matrices: Recalling and Revision, Examples](https://invisiblenetwork.ai/learn/nptel/111105417/190ff7bcf574) (Video)
63. [Lecture 63 : Matrices: Finite Digit Arithmetic: recalling and Examples](https://invisiblenetwork.ai/learn/nptel/111105417/7d909330ed22) (Video)