Tommy's matrix method for superlogarithm. tommy1729 Ultimate Fellow Posts: 1,703 Threads: 374 Joined: Feb 2009 05/07/2016, 12:28 PM Essentially my matrix method is based on solving F(x) = F(exp(x)) - 1 In terms of Taylor series. We pick the expansion point x = 0 because the distance Between the curve exp and id is minimum at x=0. This is mentioned before here http://math.eretrandre.org/tetrationforu....php?tid=3 The way I solve the infinite matrix is different. First i solve the truncated linear with 7 variables and 6 equations. And then minimize the Sum of squares for them. Now i plug in the value of these 7 variables into the truncation 16 variables and 8 equations and again minimize the Sum of squares. Then continue 34 equations and 17 variables etc etc. By minimizing the Sum of squares we get the highest possible radius ( Up to the fixpoint ). Since that radius extends to 1 we are Done. Regards Tommy1729 « Next Oldest | Next Newest »

 Possibly Related Threads… Thread Author Replies Views Last Post [MSE] short review/implem. of Andy's method and a next step Gottfried 4 230 11/03/2022, 11:51 AM Last Post: Gottfried tommy's group addition isomo conjecture tommy1729 1 202 09/16/2022, 12:25 PM Last Post: tommy1729 tommy's displacement equation tommy1729 1 190 09/16/2022, 12:24 PM Last Post: tommy1729 Is this the beta method? bo198214 3 369 08/18/2022, 04:18 AM Last Post: JmsNxn semi-group homomorphism and tommy's U-tetration tommy1729 5 385 08/12/2022, 08:14 PM Last Post: tommy1729 Describing the beta method using fractional linear transformations JmsNxn 5 439 08/07/2022, 12:15 PM Last Post: JmsNxn The Etas and Euler Numbers of the 2Sinh Method Catullus 2 342 07/18/2022, 10:01 AM Last Post: Catullus " tommy quaternion " tommy1729 30 9,428 07/04/2022, 10:58 PM Last Post: Catullus Tommy's Gaussian method. tommy1729 34 10,519 06/28/2022, 02:23 PM Last Post: tommy1729 tommy's new conjecture/theorem/idea (2022) ?? tommy1729 0 247 06/22/2022, 11:49 PM Last Post: tommy1729

Users browsing this thread: 1 Guest(s)