(Free42) roundoff for complex SQRT
04-04-2018, 10:24 AM
Post: #8
 Dan Member Posts: 162 Joined: Jan 2017
RE: (Free42) roundoff for complex SQRT
I used the "Friden" algorithm for square root on the AriCalculator, and sqrt(z) = sqrt(.5(a+sqrt(a^2+b^2)) )+ sqrt(0.5(-a+sqrt(a^2+b^2))). This gives exact results for 8i and other z I tried for which Re(z) = 0 and Im(z)/2 is a perfect square:

The second image shows the value of the real and imaginary parts of the square root in memory (2nd line from top). I know nothing about the 42S, but I know early HP calculators used the "Friden" algorithm for square root. Is it possible the 42S did too?
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 Messages In This Thread (Free42) roundoff for complex SQRT - Werner - 04-03-2018, 01:28 PM RE: (Free42) roundoff for complex SQRT - Claudio L. - 04-03-2018, 01:44 PM RE: (Free42) roundoff for complex SQRT - Thomas Okken - 04-03-2018, 01:48 PM RE: (Free42) roundoff for complex SQRT - zeno333 - 04-03-2018, 05:29 PM RE: (Free42) roundoff for complex SQRT - Thomas Okken - 04-03-2018, 05:43 PM RE: (Free42) roundoff for complex SQRT - Werner - 04-04-2018, 07:11 AM RE: (Free42) roundoff for complex SQRT - Thomas Okken - 04-04-2018, 07:25 AM RE: (Free42) roundoff for complex SQRT - Dan - 04-04-2018 10:24 AM RE: (Free42) roundoff for complex SQRT - Claudio L. - 04-04-2018, 03:03 PM RE: (Free42) roundoff for complex SQRT - Dan - 05-11-2018, 09:06 AM RE: (Free42) roundoff for complex SQRT - Dan - 04-05-2018, 09:36 AM RE: (Free42) roundoff for complex SQRT - Dieter - 04-09-2018, 08:22 PM RE: (Free42) roundoff for complex SQRT - Werner - 04-10-2018, 07:14 AM RE: (Free42) roundoff for complex SQRT - Paul Dale - 04-10-2018, 08:11 AM RE: (Free42) roundoff for complex SQRT - Thomas Okken - 04-10-2018, 05:28 PM RE: (Free42) roundoff for complex SQRT - BarryMead - 04-11-2018, 12:26 AM RE: (Free42) roundoff for complex SQRT - Paul Dale - 04-10-2018, 10:38 PM RE: (Free42) roundoff for complex SQRT - Thomas Okken - 04-11-2018, 01:09 AM RE: (Free42) roundoff for complex SQRT - Paul Dale - 04-11-2018, 01:32 AM RE: (Free42) roundoff for complex SQRT - Werner - 04-11-2018, 09:02 AM RE: (Free42) roundoff for complex SQRT - Werner - 02-12-2021, 02:45 PM RE: (Free42) roundoff for complex SQRT - Thomas Okken - 02-12-2021, 07:44 PM RE: (Free42) roundoff for complex SQRT - Werner - 02-12-2021, 08:12 PM RE: (Free42) roundoff for complex SQRT - Thomas Okken - 02-12-2021, 09:35 PM

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