FaisalGunjoti / Algorithm-of-Numerical-Linear-Algebra

This repository contains some Codes from the Subject Algorithms of Numerical Linear Algebra written in Python.

Repository from Github https://github.comFaisalGunjoti/Algorithm-of-Numerical-Linear-AlgebraRepository from Github https://github.comFaisalGunjoti/Algorithm-of-Numerical-Linear-Algebra

Details of the above files EX02-Contains the code for computing the QR factorisation using Householder Reflector and importance of the function np.sign with respect to Complex numbers// EX03- Contains the code for QR factorisation with Givens Rotation// EX05 -Contains the code for reducing the real symmetric n*n matrix to the tridiagonal form by orthogonal similarity trasformation,and computing the factor mu(wilkinsons shifts) which is used in shifted QR algorithm to improve the convergence results//. EX06-Contains the Code for Implimentation of the Eigenvalue Algorithm (Gershgorin,power iteration,inverse iteration,Rayleigh Quotient iteration)and there convergence// EX07-Implimenting the Krylov subspace methods (Arnoldi,GMRES,GMRES with givens rotation)//.

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This repository contains some Codes from the Subject Algorithms of Numerical Linear Algebra written in Python.


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