Numerical Methods in Linear Algebra (2025)

Convener(s)

Name: Prof. J. K. Verma Prof. Indranath Sengupta Dr. Projesh Nath Choudhury
Mailing Address: Visiting Professor
Indian Institute of Technology Gandhinagar Palaj,
Gandhinagar-382355, Gujarat
Professor
Indian Institute of Technology Gandhinagar Palaj,
Gandhinagar-382355, Gujarat
Assistant Professor
Indian Institute of Technology Gandhinagar Palaj,
Gandhinagar-382355, Gujarat
Email: verma.jugal at gmail.com indranathsg at iitgn.ac.in projeshnc at iitgn.ac.in

The two-week-long instructional school on "Numerical Methods in Linear Algebra" is an intensive program designed for college teachers and Ph. D. scholars working in linear algebra to deepen their understanding of these crucial mathematical techniques. The workshop will cover important numerical methods, offering hands-on experience with software. Theory and algorithms for singular value decomposition, LU decomposition, QR factorization and eigenvalue problems will be discussed

Dates: 

Monday, May 12, 2025 - 19:00 to Saturday, May 24, 2025 - 19:00

Venue: 

Venue Address: 

Prof. Indranath Sengupta
Indian Institute of Technology Gandhinagar Palaj,
Gandhinagar-382355, Gujarat

 

Venue State: 

Venue City: 

PIN: 

382355

Syllabus: 

 

Name of the Speaker with

affiliation

No. of

Lectures

Detailed Syllabus

Jugal Verma
IIT Gandhinagar

6

Orthogonal and unitary matrices, matrix norms and singular value
decomposition, low-rank approximations

Indranath Sengupta
IIT Gandhinagar

6

Projectors, QR factorization, Gram-Schmidt method for QR factorization

Projesh Nath Choudhury
IIT Gandhinagar

6

Householder triangulations, Least squares problems, pseudo-inverse
and its applications

Vivek Mukundan
IIT Delhi

6

Gauss elimination, Pivoting, Cholesky and LU factorization

S. Krishnan
IIT Bombay

6

Eigenvalue problems and algorithms, reduction to Hessenberg and  tridiagonal form, Rayleigh quotient and inverse iteration

Harish Pillai
IIT Bombay

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
(9.30-11.00)

Tea
(11.05
–11.25)

Lecture 2
(11.30–1.00)

 Lunch
(1.05–2.25)

 

Tutorial
(2.30–3.30)

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

 

Selected Applicants: 

 

Sr.n SID Full Name Gender Affiliation Position in College/University University/I nstitute M.Sc./ M.A. Year of Passing M.Sc./M.A Ph.D. Degree Date
1 64137 Mr. Nayandeep Singh Male National Institute of Technology Calicut Msc student National Institute of Technology Calicut    
2 64237 Dr. Vandana Ramjibhai Patel Female Sir P. T. Science College, Modasa Assistant professor H.N.G.U.,Patan 2005 02/03/2016
3 64251 Mr Parthiban K Male NIT Tiruchirappalli PhD student Pondicherry University 2022  
4 64281 Mr. Vishal Kumar Yadav Male Dhirubhai Ambani Institute of Information and Communication Technology, Gandhinagar PhD University of Allahabad, Prayagraj, Uttar Pradesh 2022  
5 64287 Mr. Pal Bharatbhai Patel Male B. K. M. SCIENCE COLLEGE, VALSAD ADHOC LECTURER VEER NARMAD SOUTH GUJARAT UNIVERSITY, SURAT 2023  
6 64291 Mr. Priteshkumar Chensing Pavar Male Navjivan Science College Dahod Assistant Professor The M.S. University Baroda, Vadodara 2010  
7 64307 Dr. Bharat Pratap Chauhan Male Shiv Nadar Institution of Eminence, Deemed to be University, Delhi NCR, India PhD M.Sc. 2018 24/02/2025
8 64312 Ms. Meena Vasudev Mulchandani Female Government Science College, Gandhinagar Assistant Professor Sardar Patel University, Vidyanagar, Anand 2009  
9 64341 Mr Tamilselvan K Male SRM IST KTR Research Scholar Sacred Heart College 2018  
10 64349 Mr. Guddu Kumar Male THAKUR PRASAD COLLEGE Assistant Professor IISER KOLKATA 2014  
11 64418 Dr. Noufal Asharaf Male Cochin University of Science and Technology Associate Professor University of Kerala 2005 24/11/2014
12 64496 Dr. Santanu Bag Male Vivekananda College for Women Assistant Professor I.I.T. Kanpur 2009 09/06/2015
13 64503 Mr. Arjun Maurya Male Deen Dayal Upadhyaya Gorakhpur University MSc Student Deen Dayal Upadhyaya Gorakhpur University 2024  
14 64556 Ms Manali Krishnakant Kadam Female MES's The D.G Ruparel College of Arts, Science and Commerce Asst Prof Mumbai University 2018  
15 64567 Ms. Urvashi Maheshkumar Jain Female Saint Kabir School Teacher Gujarat Universal 2024  
16 64568 Dr. Mahesh Nanasaheb Kale Male SVKM-NMIMS's Mukesh Patel School of Technology Management and Engineering Assistant Professor University of Pune, Pune 2000 16/01/2025
17 64588 Ms Nayanthara . Female Cochin University of Science and Technology, Kochi PhD Cochin University of Science and Technology, Kochi 2023  
18 64594 Dr. Praphulla Koushik Male NIT Calicut Assistant Professor University of Hyderabad 2013 30/07/2022
19 64651 Mr. Kuruku Ankith Male Central University of Karnataka PhD Research scholar Pondicherry University    
20 64664 Dr. Shabnam Jahan Aftab Alam Ansari Female Mukesh Patel School of Technology Management & Engineering, SVKM's NMIMS, Mumbai, India Assistant Professor Mumbai university 2014 12/04/2025
21 64705 Mr. Palash Mallick Male Aliah University PhD Weat bengal state university 2018  
22 64714 Dr. Vikas Rohil Male Amrita Vishwa Vidyapeetham, Amaravati Campus Assistant Professor South Asian University 2019 12/07/2023
23 64751 Mr. Aman Bashir Sheikh Male Central university of rajasthan Student Central University of Rajasthan 2024  
24   Samir Ahmed Male          
 Outstation Participants
1 64438 Mr. Amit Phogat Male IIT Gandhinagar PhD Student IIT Madras    
2 64486 Mr. Arjun Badola Male IIT Gandhinagar PhD Govind Ballabh Pant Institute of Engineering and Technology (B.Tech) 2024  
3 64565 Ms. Prachee Ajaybhai Ashara Female Indian Institute of Technology Gandhinagar M.Sc. Student Indian Institute of Technology Gandhinagar    
4 64639 Mr. Pavan Hasmukhbhai Adroja Male IIT Gandhinagar PhD Student Saurashtra University 2019  
5 64689 Mr Rajat Kumar Mishra Male IIT Gandhinagar Research Scholar IISER Kolkata 2019  
6 64715 Ms. Riddhi Vinay Patil Female IIT Gandhinagar PhD Student University Of Mumbai 2021  
7 64735 Mr. Ramanand Ramanand Male IIT Gandhinagar PhD Student NA    
8 64744 Mr. Yash Sahu Male iit gandhinagar phd      

 

 

How to Reach: 

TBA

School Short Name: 

nmla

Last Date Application: 

Sunday, May 28, 2023

School Type: 

IST

Separate faculty form: 

0