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Abstract error analysis

Measuring distances
Backward error analysis
The condition number of linear systems

Implementation

Floating point numbers
Memory layout and NumPy

LU decomposition

LU decomposition
Asymptotic notation
Backward error and pivoting
Python implementation

Orthogonal decompositions

QR decomposition
Singular value decomposition
Least-squares problems
Least-squares with constraints

Interpolation and quadrature

Polynomial interpolation
Introduction to quadrature
Stable quadrature schemes

Eigenvalue problems

Basic properties
Computing eigenvalues
Computing the eigensystem

Back matter

Notation and facts
Python
Markdown and LaTeX
Bibliography
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Bibliography

By Timo Betcke, Erik Burman, Max Jensen

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