AIS Numerical Linear Algebra (2010)
Venue:  IIT Guwahati 
Dates:  222 Dec, 2010 
Convener(s)  Speakers, Syllabus and Time table  Applicants/Participants 
Name  Professor Rafikul Alam  Dr. Shreemayee Bora 
Mailing Address  Department of Mathematics, I.I.T. Guwahati, Guwahati 781039, Assam. 
Department of Mathematics, I.I.T. Guwahati, Guwahati 781039 
Speakers
 Professor Balmohan V. Limaye, Department of Mathematics, IIT Bombay.
 Professor Rekha P. Kulkarni, Department of Mathematics, IIT Bombay.
 Professor S. H. Kulkarni, Department of Mathematics, IIT Madras.
 Professor Daniel Kressner, ETH Zurich, Switzerland.
 Professor Madhu N. Belur, IIT Bombay.
 Professor Harish. K. Pillai, IIT Bombay.
 Dr. Shreemayee Bora, Department of Mathematics, I.I.T. Guwahati.
 Professor Rafikul Alam, Department of Mathematics, I.I.T. Guwahati
 Unity of Mathematics Lectures:
1. Professor R. Bapat, ISI Delhi.
2. Professor S. D. Agashe, IIT Bombay
Syllabus
 Overview of matrix computations. Floating point arithmetic. Analysis of roundoff errors.
 Solution of linear systems. Sensitivity and perturbation analysis. Gaussian elimination with partial pivoting, Cholesky factorization, and their stability.
 Singular Value Decomposition (SVD).
 QR factorization. Householder triangulation. Solution of least squares problems by QR method and SVD. Sensitivity analysis.
 Eigenvalue problems. Sensitivity and perturbation analysis. Power, inverse power, Rayleigh quotient and subspace iterations. QR algorithm with shifts and its convergence. Other eigenvalue algorithms.
 Pseudospectra of matrices; their analysis and applications.
 Numerical functional analysis. Approximation by finite rank operators.

NAME  POSITION  AFFILIATION 
Mr. Mahesh Kumar  Lecturer, Mathematics  Lady Shri Ram College for Women, University of Delhi. 
Mr. Saidur Rahman Barbhuiyan  Lecturer, Mathematics  S. S. College, Hailakandi 
Mr. Suman Kumar  Research Scholar, Mathematics  IIT Patna 
Mr. Arindam Kundu  Research Scholar, Mathematics  IIT Patna 
Mr. Dilip D. S.  UGC Project Fellow, Mathematics  Sacred Heart College, Tirupattur, Vellore 
Ms. Litismita Jena  Research Scholar, Mathematics  IIT Bhubaneswar 
Mr. Kalyan Manna  Research Scholar, Mathematics  IIT Ropar 
Ms. Chinar Rana  Research Scholar, Mathematics  IIT Ropar 
Mr. Srikumar Panda  Research Scholar, Mathematics  IIT Ropar 
Mr. Akshay Sakharam Rane  Research Scholar, Mathematics  IIT Bombay 
Dr. Bipul Sarma  Lecturer, Mathematics  M C College, Barpeta 
Mr. M. Rajesh Kannan  Research Scholar, Mathematics  IIT Madras 
Mr. Chirayu Dilip Athalye  M.Tech student, Control and Computing  IIT Bombay 
Mr. Deepak Umakant Patil  Research Scholar, Control and Computing  IIT Bombay 
Ms. Garima Mishra  DST Project Fellow, Mathematics  MNNIT, Allahabad 
Dr. Shyamal Debnath  Assistant Professor, Mathematics  NIT, Agartala 
Ms. Rachel Kalpana Kalaimani  Research Scholar, Control and Computing  IIT Bombay 
Mr. S. Rajesh  Research Scholar, Mathematics  IIT Madras 
Mr. Biswanath Dey  Assistant Professor, CSE, NIT, Silchar & Research Scholar, CSE, IIT Guwahati  NIT, Silchar 
Mr. Rakesh N. Nampoothiry  Lecturer, Mathematics  S. D. College, Alappuzha 
Mr. Prabhakaran. S  Research Scholar , Mathematics  College of Engineering, Guindy, Anna University 
Mr. Siddhartha Jain  M.Tech student, Control and Computing  IIT Bombay 
Ms. Bijaya Laxmi Panigrahi  Research Scholar, Mathematics  IIT Kharagpur 
Mr. Noufal A  Research Scholar, Mathematics  University of Kerala 
Mr. A. Vashist  B.Tech student , M.tech and B.Tech dual degree in Electrical Engineering  IIT Bombay 
Mr. Vinay Arora  Assistant Professor, Mathematics  SSG Punjab University Regional Centre 
Mr. Surya Ratna Prakash Dumpa  Research Scholar, Mathematics  NITK, Mangalore 
Ms. Shobha M. E.  Research Scholar, Mathematics  NITK, Surathkal 
Ms. Namita Behera  Research Scholar, Mathematics  IIT Guwahati 
Mr. Punit Sarma  Research Scholar, Mathematics  IIT Guwahati 
Ms. Jhuma Sengupta  Research Scholar , Mathematics  IIT Guwahati 
Ms. Manideepa Saha  Research Scholar, Mathematics  IIT Guwahati 
Mr. Arnab Ghosh  Research Scholar, Mathematics  IIT Guwahati 
Mr. Pratibhamoy Das  Research Scholar, Mathematics  IIT Guwahati 
Mr. Ravi Srivastava  Research Scholar, Mathematics  IIT Guwahati 
How to reach

Advanced Instructional School on Numerical Linear Algebra is being organised in Guwahati during the December 2010 and is funded by NBHM.
Reaching IIT Guwahati:
Location
The Institute can be reached by road, rail or air. Since it is located on the outskirts of the city of Guwahati, it is well connected to other parts of the country by road, rail or air.
Guwahati is well connected by air, rail and road with the rest of the country. There are direct air services from/to New Delhi and Kolkata with connectivity to all major cities in the country and direct train services from/to all major cities in the country and direct train services from/to all the metropolis and other major cities. Indian Airlines, Air Sahara, Jet Airways, Deccan Air and SpiceJet operate regular flights to and from Guwahati.
It is around 20 km from the heart of the city and around 45 min drive from the airport. To reach the institute from the city, there is the institute bus service that runs regularly to and from the city. It terminus in the city is near the Institution of Engineers Building which is quite close to the Railway Station.
Map showing how to reach IIT Guwahati
TRAIN NAME  ROUTE 
Rajdhani Express  Delhi, Lucknow 
North East Express  Delhi, Kanpur, Allahabad, Patna 
Brahmaputra Mail  Delhi, Aligarh, Kanpur, Allahabad, Patna 
Avadh Assam Express  Delhi, Lucknow, Muzaffarpur 
Kamrup Express  Kolkata, Malda Town, New Jalpaiguri 
Kanchanjunga Express  Kolkata, Barddhaman, Rampurhat 
Saraighat Express  Kolkata, Barddhaman, Malda Town 
Dadar Express  Mumbai, Manmad, Katni, Mughalsarai, Patna 
Cochin Express  Cochin, Coimbatore, Chennai, Cuttack, Howrah 
Trivandrum Express  Thiruvananthapuram, Trichur,Chennai, Visakhapatnam, Bhubaneshwar, Howrah 
Bangalore Express  Bangalore, Vizianagaram, Cuttack, Kharagpur, Howrah 
For more information on these trains please visit the Indian Railways website : www.indianrail.gov.in
Commuting to the Institute from the city
For commuting from the station to the North Guwahati campus, Tata sumos and autorickshaws are available. IIT Guwahati has also its own transportation facilities to ply to and fro from North Guwahati campus to the city.
Flights to Guwahati
Guwahati is well connected to most major cities of India via major airlines like Indian Airlines,Jet Airways, Go Air, Kingfisher, Spicejet and Indigo. There are several direct flights to Delhi and Kolkata on all days of the week. There is a prepaid taxi service at the airport.
Taxis are available for transport within the city also but are without meters and fares have to be negotiated and the same applies to autorickshaws. There is also an extensive network of city bus services.