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ELL800

From IITD Wiki
ELL800
Numerical Linear Algebra and Optimization in Engineering
Credits 3
Structure 3-0-0
Pre-requisites
Overlaps

ELL800 : Numerical Linear Algebra and Optimization in Engineering

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Basics of Linear Algebra; Matrix decomposition - LU, LDU, QR and Cholesky factorization; Householder reflection, Givens rotation; Numerical implications of SVD; Numerical Solution for Linear Systems; Algorithm Stability; Problem Conditioning; Pivoting and scaling; Least Square Solutions; Numerical Matrix eigenvalue methods; Sparse Systems; Iterative methods for large systems; Krylov, Arnoldi, Lanczos methods; Numerical Optimization techniques - Conjugate gradient method, Linear and quadratic programming, Spectral and Pseudo-spectral methods. ELp800 Control Systems Laboratory 1 Credit (0-0-2) Basics of Sensors and Actuators, Study of AC and DC Motors, Linear Systems, Analog and Digital Motors, Synchros, Temperature Control.