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 short compilation:fractional iteration-> eigendecomposition Gottfried Ultimate Fellow Posts: 765 Threads: 119 Joined: Aug 2007 01/19/2008, 02:29 PM (This post was last modified: 01/19/2008, 02:31 PM by Gottfried.) bo198214 Wrote:I just skimmed through and agree that some part should go into the FAQ. I like the illustration by examples. Though I find the V(x)~ very cumbersome ...... this is Pari/GP... In my own matrix-calculator I implemented ' for transpose - but this is again misleading in a context of discussion of derivatives. What I really *hate* is the T-superscript . So any good proposal is welcome... Quote:Perhaps also the "Identities with binomials,Bernoulli- and other numbertheoretical numbers" at the bottom of the pages should be updated done Quote:What I miss however is a suitable discussion of finite versus infinite matrices. For example if you approximate an infinite matrix M by finite matrices M_n then the inverse of the infinite matrix is not always the limit of the inverses of M_n. Which is discussed in this video (unfortunately it seems currently not to be available) which I mentioned already here. Well, it's a bit time ago, that I found small books concerning that matter and going into it in at least some detail. In general, I felt lost with that subject - may be I missed better treatises because I didn't recognize them - if the surrounding jungle of abstract terms/formalisms etc is too wild. I really liked it, if I found something straightforward... In this view, the video was not helpful for me - not only was it very generally discussed beginning with infinite matrices to both sides, also I didn't find relations to my real problems with them (maybe I only was unable to see this): beginning with triangular real matrices, proceeding to complex-valued matrices and then, possibly, extension to fourway-infinite matrices. And including the concept of divergent series: I think it is needed to be familiar with this, since in our context we have to deal with such matrices/powerseries daily. Gottfried Gottfried Helms, Kassel « Next Oldest | Next Newest »

 Messages In This Thread short compilation:fractional iteration-> eigendecomposition - by Gottfried - 01/19/2008, 09:37 AM RE: short compilation:fractional iteration-> eigendecomposition - by andydude - 01/19/2008, 09:50 AM RE: short compilation:fractional iteration-> eigendecomposition - by Gottfried - 01/19/2008, 11:17 AM RE: short compilation:fractional iteration-> eigendecomposition - by bo198214 - 01/19/2008, 01:20 PM RE: short compilation:fractional iteration-> eigendecomposition - by Gottfried - 01/19/2008, 02:29 PM RE: short compilation:fractional iteration-> eigendecomposition - by Gottfried - 01/20/2008, 02:32 PM RE: short compilation:fractional iteration-> eigendecomposition - by Gottfried - 01/20/2008, 07:50 AM RE: short compilation:fractional iteration-> eigendecomposition - by Gottfried - 01/21/2008, 06:45 PM RE: short compilation:fractional iteration-> eigendecomposition - by Gottfried - 01/23/2008, 07:35 AM

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