Numerical Instability Chapter

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• Talk about the hardware limitations of numerical solvers
• Limits of float vs double (64 vs 32 bits)
• Matrix inversion example -> why is that important? Kalman filter
• inv(A)*A ≠ I sometimes
• Limits of floats near zero
• Limits of division

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• https://docs.oracle.com/cd/E19957-01/806-3568/ncg_goldberg.html
• https://docs.python.org/3/tutorial/floatingpoint.html

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Commutability and associability: https://www.frontiersin.org/journals/neuroinformatics/articles/10.3389/fninf.2022.874234/full
Benchmarks: RK methods https://docs.sciml.ai/SciMLBenchmarksOutput/stable/

[tordnat]

https://float.exposed/0x4097f28000000000