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 matrix function like iteration without power series expansion Gottfried Ultimate Fellow Posts: 764 Threads: 118 Joined: Aug 2007 07/01/2008, 02:18 PM (This post was last modified: 07/09/2008, 04:44 PM by Gottfried.) bo198214 Wrote:Gottfried Wrote:Using a matrix-expression this would be t°h(x) = W^-1 sum k=0..inf sum j=0..k (-1)^j * binomial(k,j) *diag(1,u^j,u^2j,...) * W sum j=0..k (-1)^j * binomial(k,j) *dV(u^j) = diag(u^j-1) *PPow( sum k=0..infwhat? ...editing-crap. Quote: Quote:"not regularly" Euler-summable However the aim was to not use the matrix method for computation. This is faster and does not require the function to be developable into a powerseries. Yes , sure - I only introduced the matrix-method to have an idea about the estimated coefficients. I'm testing a summation-method, which allows to sum series of such rate of divergence. There are these Hausdorff-means, tightly related to the Riesz-method. Unfortunately it is not obvious, how - for a certain selection of parameters - the range of applicability can be determined. I'm comparing the results of my parameter-settings with known results for strongly diverging series and also I'm looking for articles on this... Gottfried z.B.: Über Klassen von Limitierungsverfahren, die die Klasse der Hausdorffschen Verfahren als Spezialfall enthalten Endl, Kurt in: Mathematische Zeitschrift, volume: 65 pp. 113 - 132 Online at digicenter Göttingen Gottfried Helms, Kassel « Next Oldest | Next Newest »

 Messages In This Thread matrix function like iteration without power series expansion - by bo198214 - 06/30/2008, 03:01 PM RE: matrix function like iteration without power series expansion - by Gottfried - 06/30/2008, 09:23 PM RE: matrix function like iteration without power series expansion - by bo198214 - 07/01/2008, 06:48 AM RE: matrix function like iteration without power series expansion - by Gottfried - 07/01/2008, 02:18 PM RE: matrix function like iteration without power series expansion - by Gottfried - 07/02/2008, 11:23 AM RE: matrix function like iteration without power series expansion - by Gottfried - 07/08/2008, 06:56 AM RE: matrix function like iteration without power series expansion - by andydude - 07/08/2008, 06:01 PM RE: matrix function like iteration without power series expansion - by andydude - 07/08/2008, 09:35 PM RE: matrix function like iteration without power series expansion - by Gottfried - 07/08/2008, 06:23 PM RE: matrix function like iteration without power series expansion - by Gottfried - 07/09/2008, 08:58 AM RE: matrix function like iteration without power series expansion - by andydude - 07/09/2008, 02:38 PM RE: matrix function like iteration without power series expansion - by andydude - 07/09/2008, 02:57 PM RE: matrix function like iteration without power series expansion - by bo198214 - 07/09/2008, 06:18 PM RE: matrix function like iteration without power series expansion - by andydude - 07/14/2008, 06:21 PM RE: matrix function like iteration without power series expansion - by bo198214 - 07/14/2008, 09:55 PM RE: matrix function like iteration without power series expansion - by Gottfried - 07/10/2008, 07:01 AM

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