Floating-point arithmetic

How IEEE 754 stores numbers, machine epsilon and the spacing of floats, catastrophic cancellation, and algorithms that compensate for rounding error.

Kahan’s compensated summation

Kahan's compensated summation

IEEE 754: bit layouts, machine epsilon, and the spacing of floats

IEEE 754: bit layouts, machine epsilon, and the spacing of floats

Forsythe’s quadratic formula: catastrophic cancellation

Forsythe's quadratic formula: catastrophic cancellation