<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN"> <HTML><HEAD> <META http-equiv=Content-Type content="text/html; charset=iso-8859-1"> <META content="MSHTML 6.00.2900.2180" name=GENERATOR> <STYLE></STYLE> </HEAD> <BODY bgColor=#ffffff> <DIV><FONT face=Arial size=2> <DIV><FONT face=Arial size=2> <DIV><FONT face=Arial size=2>Dear Sir,</FONT></DIV> <DIV> </DIV> <DIV><FONT face=Arial size=2>My fields of interest are problems of numerical analysis, in particular, solving nonlinear equations.<BR>More than 10 years I have implemented my fast iterative root-solvers<BR>using the programming package MAPLE and MATHEMATICA in multiple precision<BR>arithmetic (they, actually, use GNU). For the purpose of a scientific paper in preparation, <BR>I need some date about <BR>the cost of basic arithmetic operations; namely, if the (CPU) cost of ADDITION<BR>and SUBTRACTION are normalized to 1, what is the cost of MULTIPLICATION and DIVISION?</FONT></DIV> <DIV><FONT face=Arial size=2>Or, which is the same, what is the numbers of these four operations executed  in 1 second<BR>I have these data for some digital computers including super-computers, but<BR>not for the mentioned packages. Of course, I know that this cost depends on the used processor and<BR>the number of the employed decimal digits, but some estimates probably exist.</FONT></DIV> <DIV> </DIV> <DIV><FONT face=Arial size=2>I would like to learn these data and I ask you to help me.<BR>My scientific contribution can be found on my Web site <A href="">www.miodragpetkovic.com</A>.</FONT></DIV> <DIV> </DIV> <DIV><FONT face=Arial size=2>Thank you very much in advance.</FONT></DIV> <DIV> </DIV> <DIV><FONT face=Arial size=2>Kindest regards</FONT></DIV> <DIV> </DIV> <DIV><FONT face=Arial size=2>Professor Miodrag Petkovic<BR></FONT></DIV></FONT></DIV></FONT></DIV></BODY></HTML>