Re: Re: Re: Questions regarding MatrixExp, and its usage
- To: mathgroup at smc.vnet.net
- Subject: [mg63580] Re: [mg63390] Re: [mg63355] Re: [mg63335] Questions regarding MatrixExp, and its usage
- From: "Michael Chang" <michael_chang86 at hotmail.com>
- Date: Fri, 6 Jan 2006 05:24:23 -0500 (EST)
- Sender: owner-wri-mathgroup at wolfram.com
Hi, <Snip> >(By the way, I think your e-mail program should be able to render the >"funny symbol" correctly if it interprets the encoding of the message as >Unicode.) Thanks ... I haven't been able to figure out how to coax hotmail to change the encoding, but Outlook @ work seems to be able to decode things properly! :) >I think your mistake is that although A is a Jordan block 8 A is not. Oh boy ... Duh! <Blush> You're right ... my mistake! Sorry. >So the right thing to do is this: > > >A = {{0, 1, 0}, {0, 0, 1}, {0, 0, 0}}; > >In[4]:= >{S, B} = JordanDecomposition[8*A]; > > >f[x_] := Exp[x] > > >S . p[f, 0, 3] . MatrixPower[S, -1] > > >{{1, 8, 32}, {0, 1, 8}, {0, 0, 1}} > >This seems to be right. Yes, this *is* correct! My apologies for my confusion, and many thanks again! Regards, Michael