HBM 511 - Scientific Computing I

Course Objectives

Finite arithmetic, errors, problem conditions, stability of algorithms, computing with machine numbers, vector and matrix spaces, linear equation systems, gaussian elimination, pivoting, LU and Cholesky decomposition, givens rotations, singular value decomposition, QR decomposition, gram-schmidt orthogonalization, eigenvalue problem and its numerical solutions, singular value decomposition, numerical solution methods for linear equation systems, Krylov subspace methods.

Course Description

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