IST - Numerical Methods in Linear Algebra (2025)
Speakers and Syllabus
|
Name of the Speaker with affiliation |
No. of Lectures |
Detailed Syllabus |
|
Jugal Verma |
6 |
Orthogonal and unitary matrices, matrix norms and singular value |
|
Indranath Sengupta |
6 |
Projectors, QR factorization, Gram-Schmidt method for QR factorization |
|
Projesh Nath Choudhury |
6 |
Householder triangulations, Least squares problems, pseudo-inverse |
|
Vivek Mukundan |
6 |
Gauss elimination, Pivoting, Cholesky and LU factorization |
|
S. Krishnan |
6 |
Eigenvalue problems and algorithms, reduction to Hessenberg and tridiagonal form, Rayleigh quotient and inverse iteration |
|
Harish Pillai |
6 |
QR algorithm, Jacobi’s method, Golub-Kahn algorithm for computation of SVD |
References:
1. William Ford, Numerical linear algebra with applications, Elsevier, 2015.
2. L. N. Trefethen and David Bau III, Numerical linear algebra, SIAM, 1997.
Time Table
|
Day |
Date |
Lecture 1 |
Tea |
Lecture 2 |
Lunch
|
Tutorial |
Tea (3.35-3.55) |
Lab Tutorial (4.00-5.00) |
Snacks 5.05-5.30 |
|
|
|
(name of the speaker) |
|
(name of the speaker) |
|
(name of the speaker+tutors) |
|
(name of thespeaker+tutors) |
|
|
Mon |
12May |
JKV |
|
IS |
|
MG,SY,KP |
|
MG,SY,KP |
|
|
Tue |
13May |
JKV |
|
IS |
|
JKV,SY, KP |
|
IS,SY,KP |
|
|
Wed |
14May |
JKV |
|
IS |
|
MG,SY,KP |
|
MG,SY,KP |
|
|
Thu |
15May |
JKV |
|
IS |
|
JKV,SY, KP |
|
IS,SY,KP |
|
|
Fri |
16May |
PNC |
|
VM |
|
MG,SY,KP |
|
MG,SY,KP |
|
|
Sat |
17May |
PNC |
|
VM |
|
PNC,SY, KP |
|
VM,SY,KP |
|
|
18 May,Sunday:OFF |
|||||||||
|
Mon |
19May |
PNC |
|
VM |
|
AJ,IM,PK |
|
AJ,IM,PK |
|
|
Tue |
20May |
PNC |
VM |
PNC,IM, PK |
VM,IM,PK |
||||
|
Wed |
21May |
SK |
|
HP |
|
AJ,IM,PK |
|
AJ,IM,PK |
|
|
Thu |
22May |
SK |
|
HP |
|
SK,IM,PK |
|
HP,IM,PK |
|
|
Fri |
23May |
SK |
|
HP |
|
AJ,IM,PK |
|
AJ,IM,PK |
|
|
Sat |
24May |
SK |
|
HP |
|
SK,IM,PK |
|
HP,IM,PK |
|
Tutorial Assistants:
|
S.No. |
Name |
Affiliation |
|
1 |
Shivangi Yadav, PhD Scholar |
IIT Gandhinagar |
|
2 |
Iswar Mahato,Post Doc fellow |
IIT Bombay |
|
3 |
Abhinav Jha, AssistantProfessor |
IIT Gandhinagar |
|
4 |
Krushnachandra Panigrahy, Post Doc fellow |
IIT Gandhinagar |
|
5 |
Pinki Khatun,Post Doc fellow |
IIT Gandhinagar |
|
6 |
Madhu Gupta, Assistant Teaching Professor |
IIT Gandhinagar |
Full forms for the abbreviations of speakers and tutors:
JKV: Prof. Jugal K. Verma
IS: Prof. Indranath Sengupta
PNC: Projesh Nath Choudhury
VM: Vivek Mukundan
SK: S. Krishnan
HP: Harish Pillai
AJ: Abhinav Jha
SY: Shivangi Yadav
IM: Iswar Mahato
KP: Krushnachandra Panigrahy
PK: Pinki Khatun
MG: Madhu Gupta