Re: Matrix Operator form using Mathematica
- To: mathgroup at smc.vnet.net
- Subject: [mg53212] Re: Matrix Operator form using Mathematica
- From: "Steve Luttrell" <steve_usenet at _removemefirst_luttrell.org.uk>
- Date: Thu, 30 Dec 2004 01:38:20 -0500 (EST)
- References: <cqtc4e$7ic$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
One way to do this is to define a matrix-valued function
aone={{-1,0},{0,D[#,{x,2}]}}&
so that (for instance) evaluating
aone[Tan[x]]
gives the result
{{-1, 0}, {0, 2*Sec[x]^2*Tan[x]}}
Steve Luttrell
"Pratik Desai" <pdesai1 at umbc.edu> wrote in message
news:cqtc4e$7ic$1 at smc.vnet.net...
>
> Hello all,
>
> How do I define an operator embedded in a matrix and functions
> as...well........an operator
>
> azero={{0,1},{1,0.05}};
> aone={{-1,0},{0,(k)}};
> (*k is the second order differential operator with respect to x d,xx, Is
> there a way to define this in mathematica *)
>
>
> Thanks
>
> Pratik Desai
>