Pitfalls in computation, or why a math book isn''t enough
Pitfalls in computation, or why a math book isn''t enough
Rounding Errors in Algebraic Processes
Rounding Errors in Algebraic Processes
Microprogrammed significance arithmetic: a perspective and feasibility study
AFIPS '72 (Spring) Proceedings of the May 16-18, 1972, spring joint computer conference
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This report will describe and discuss a presently-operational software system for tracing and displaying numerical accuracy in digital computer calculation. A FORTRAN program processed by the system is executed in an artificial arithmetic, in which every arithmetic step produces, in addition to the numerical result, an estimate of the number of significant digits in that result. Programs have been processed successfully with significance mode segments totalling as many as 1400 FORTRAN statements.