Significance Arithmetic on the Ibm 7090 (Classic Reprint) - Softcover

Max Goldstein

 
9781332093724: Significance Arithmetic on the Ibm 7090 (Classic Reprint)

Synopsis

This book provides a deep dive into a method termed "significance arithmetic," which enables mathematicians and scientists to efficiently determine the number of significant bits (digits) in the results of floating-point calculations. It discusses the history of floating-point arithmetic and compares the new significance mode with previous methods for estimating significance. The author presents a set of rules for significance control in floating-point operations and provides numerical experiments to demonstrate the effectiveness of the significance mode as an essential tool for numerical analysis. The book concludes by emphasizing the importance of significance arithmetic in scientific computing, as it ensures that results are not only accurate but also justifiable.

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