12 Aug
2013
12 Aug
'13
6:14 p.m.
Hello, there is a way with PSLQ, it can handle complex numbers. so you can find for example, the best integers that would approximate a zero to the vector : [ln(1 + I), Pi, exp(1)], up to a certain precision, in this case , up to 6 digits: with [-23 + 41 I, 5 - 23 I, 9 + 28 I], Is this what you are looking for ? another example : with [ln(1 + I), Pi I, exp(I)] you would get : [11 + 88 I, -4 - 30 I, -38 + 10 I] which is close to -0.0012 - 0.0014 I. as a rule of thumb, the 6 digits does give a 3 digits approximation, you need to double the working digits. Best regards, Simon Plouffe