Short term Course on
Matrix
Computations and its application
in
systems, signal and control problems
February
16-21, 2021
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Overview
of the the proposed event
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The
course provides knowledge and understanding of matrix
computations in various applications. For this, deeper
knowledge of theory, methods, algorithms and software is
required for different classes of numerical linear algebra
problems. Among other things, the course discusses
projections, fundamental subspaces, transformations,
orthogonality and angles, rank, matrix factors (eg LU, QR,
SVD), condition numbers (ill-posed or well-posed problems),
direct and iterative methods to solve linear systems of
eigenvalue problems, canonical forms using DFT, FFT, for
circulent and Hankel matrices in signals, and related problems
involving in control, systems and
signal
and numerical solution of ODE/PDE through MATLAB.
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How
will this short-term course going to benefit Teachers?
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It
is necessary to bring different topics from the undergraduate
curriculum and introduce students and faculty to a developing
area in mathematics. Basic matrix computation is a natural
topic of this course. The great success of matrix theory
mostly lies in their many desired properties such as signals,
systems and control.
This allows the Teachers to become
aware what are the current frontiers of matrix computation and
what are the possible further developments and applications of
matrix computations. The participants' knowledge about the
course content will be raised to the level such that they will
be able to use theory fo matrix computation for their teaching
and research.
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Experts,
and Topics to be Covered
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Talk by:
Speakers Name
1. Prof. Pradip Sirkar from IIT Kanpur
2. Dr. Punit Sharma from IIT Delhi
3. Dr. Gajendra kumar Vishwakarma From IIT Dhanbad
4. Dr. Istkhar Ali from Integral University
5. Dr. Mohammad Sajid from Qassim University, Saudi Arabia
6. Prof. Ram Bilas Pachori from IIT Indore
7. Dr. Niraj Kumar Shukla From IIT Indore
8. Dr. Sk. Safique Ahmad from IIT Indore
9. Dr. Bhupendra Singh, Scientist, CAIR-DRDO, Bangalore
Topics
to be covered:
Numerical
Algorithm for solving inverse eigenvalue problems arsing in
control
Sensistivity
and condtioning of control problem
Controllabiliy,
Obsevability and stablity of discrete time invariant system
problem
Computing
Eigenelements of Sturm-Liouville problems using Haar wavelets
Computation
of eigenvalues and solutions of regular Sturm–Liouville
problems using Haar wavelets
Solving
system of linear differential equations using haar wavelet
The
condition number of matrix
Characterization
of the Haar wavelet matrix by their linear transformation and
proved some theorems on properties of Haar wavelet matrix
Circulant
matrices are important because they are diagonalized by a
discrete Fourier transform, and hence linear transformation that
contain them may be quickly solved using a FFT .
Properties
of wavelet (Haar, Shannon, Daubechies, etc.)
Subdivision
operator \& Pseudo inverse of a matrix
Low
pass filter, high pass filter, p-stage-decomposition, etc. in
signal and image processing
Approximation
and Details space
Solution
of differential and integral equation using wavelets (Haar,
Daubechies)
Other
special lectures, also.
Important
Date & Registration
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Last
date of receiving application: February 10, 2021
Online
Registration Link
AICTE
Colleges: No fee (for faculty members)*
*
The nominations along with the registration forms [Registration
Form]
must be sent through their coordinator/head to mcscp@iiti.ac.in
Non-AICTE
Colleges: ₹ 2,000/- per faculty/researcher**
For
industry participants:: ₹ 5,000/- per participant**
**
Evidence of payment should be emailed in advance to confirm the
participation.
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