Domov > Obvestila > Peter R Turner: Gradual and tapered Overflow and Underflow: Overcoming the logarithmic distribution of numbers

Peter R Turner: Gradual and tapered Overflow and Underflow: Overcoming the logarithmic distribution of numbers

Datum objave: 17. 9. 2010
Vir: Seminar za numerično analizo
Sreda 22.09.2010 od 10h do 11h, soba 3.06 na Jadranski 21

Predavanje od 10h do 11h

Peter R Turner: Gradual and tapered Overflow and Underflow: Overcoming the logarithmic distribution of numbers

Povzetek: An important but often not fully appreciated fact is that numbers as they arise in computations are distributed according to a logarithmic law. This observation goes back (at least) to a paper of Benford in 1937. One of the consequences is that in the decimal system the leading significant digits of numbers will be 1 approximately 30% of the time. This fact, for which I will offer background and justification, has serious effects on the reliability of computations. Some solutions to these involving alternatives to the standard floating point arithmetic system will be presented.