1

Handbook of Automation, Computation, and Control, edited by E. M. Grabbe; Vol. 2, Ch. 2, Programming and Coding, by John W. Carr IH. John Wiley and Sons, Inc., New York, {959.

2

HOUSEHOLDER, A. S., Principles of Numerical Analysis. Mc- Graw-Hill, New York, 1953.

3

HOUSEHOLDER, A. S., Theory of Errors in Digital Computation, Supplement to Notes for the Special Summer Conference on Digital Computers, 1956, University of Michigan College of Engineering, Ann Arbor, Michigan.

4

HOUSEHOLDER, A. S., Generation of errors in digital computation, Bull. Amer. Math. Soc. 60 (1954), 234-247.

5

VON NEUMANN, JOHN, ANn GOLDSTINE, H. H., Numerical inverting of matrices of high order, Bull. Amer. Math. Soc. 58 (1947), 1021-1099.

6

GOLDSTINE, HERMAN H., AND VON NEUMANN, JOHN, Numerical inverting of matrices of high order II, Proc. Amer. Math. Soc. 2 (i951), i88-202.

7

SAUELSON, KLAUS, AND BAUER, OptimMe Rechengenauigkeit bei Rechenanlagen mit gleichendem Komma (Optimal Calculational Precision for Floating-Point Arithmetic Units), Z. Angew. Math. Physik 4 (1953), 312-316.

8

METROPOLIS, J ., Private communication.

9

FISCHER, P. C., Analysis of errors in floating point arithmetic on the IBM 650. To be published.

10

PERLIS, A. J., SMITH, J. W., AND VAN ZOEREN, H. R., Internal Translator (IT)-A Compiler for the 650. Carnegie Institute of Technology, Computation Center, Pittsburgh, Pa.

11

FISCHER, P. C., Automatic propagated and round-off error analysis. To be published.

R. H. Miller, An example in “significant-digit” arithmetic, Communications of the ACM, v.7 n.1, p.21, Jan. 1964

Clement Luk, Microprogrammed significance arithmetic with tapered floating point representation, Conference record of the 7th annual workshop on Microprogramming, p.248-252, September 30-October 02, 1974, Pal Alto, California, United States

Herbert L. Gray , Charles Harrison, Jr., Normalized floating-point arithmetic with an index of significance, Papers presented at the December 1-3, 1959, eastern joint IRE-AIEE-ACM computer conference, p.244-248, December 01-03, 1959, Boston, Massachusetts

John W. Carr, III: colleagues