Floating Point Numbers: LU Decomposition and Errors

In course

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Description

This lecture covers the representation of floating point numbers, LU decomposition without and with pivoting, ill-conditioned systems, induced matrix norms, condition number, and various types of errors in computational physics. It also discusses the importance of machine epsilon, round-off errors, and the impact of errors in numerical computations.

Official source

https://mediaspace.epfl.ch/media/0_vw1rvyyo

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Ontological neighbourhood

Mathematics

Analysis: Numerical analysis

Algebra: Linear algebra

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