# Numerical inverting of matrices of high order

@article{Neumann1947NumericalIO, title={Numerical inverting of matrices of high order}, author={John von Neumann and Herman H. Goldstine}, journal={Bulletin of the American Mathematical Society}, year={1947}, volume={53}, pages={1021-1099} }

PREFACE 188 CHAPTER VIII. Probabilistic estimates for bounds of matrices 8.1 A result of Bargmann, Montgomery and von Neumann 188 8.2 An estimate for the length of a vector 191 8.3 The fundamental lemma 192 8.4 Some discrete distributions 194 8.5 Continuation 196 8.6 Two applications of (8.16) 198 CHAPTER IX. The error estimates 9.1 Reconsideration of the estimates (6.42)-(6.44) and their consequences.. 199 9.2 The general Ai 200 9.3 Concluding evaluation 200

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