6533b86dfe1ef96bd12c9496

RESEARCH PRODUCT

The Increase and Cumulation of Round-Off Errors

subject

description

To give an impression of how fast round-off errors may increase even in a not really ill-conditioned case, a short numerical example shall be discussed before reporting the results of the computer runs. The problem is to compute $${\rm{e}}\,{\rm{ = }}\,{\rm{a}}\,{\rm{ - }}\,{\rm{b}}{\rm{.c}}$$ and $${\rm{g}}\,{\rm{ = }}\,{\rm{d}}\,{\rm{ - }}\,{\rm{e}}{\rm{.f}}$$