John von Neumann's Analysis of Gaussian Elimination and the Origins of Modern Numerical Analysis

@article{Grcar2011JohnVN,
title={John von Neumann's Analysis of Gaussian Elimination and the Origins of Modern Numerical Analysis},
author={J. Grcar},
journal={SIAM Rev.},
year={2011},
volume={53},
pages={607-682}
}

Just when modern computers (digital, electronic, and programmable) were being invented, John von Neumann and Herman Goldstine wrote a paper to illustrate the mathematical analyses that they believed would be needed to use the new machines effectively and to guide the development of still faster computers. Their foresight and the congruence of historical events made their work the first modern paper in numerical analysis. Von Neumann once remarked that to found a mathematical theory one had to… CONTINUE READING