Re: Integrate a matrix-function

*To*: mathgroup at smc.vnet.net*Subject*: [mg27468] Re: Integrate a matrix-function*From*: "Allan Hayes" <hay at haystack.demon.co.uk>*Date*: Tue, 27 Feb 2001 00:37:20 -0500 (EST)*References*: <97cemm$d9s@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

Martin, With f[s_,t_] := {{s t, s t^2},{s^2 t,s^2 t^2}} The integration that you use seems to do what you want: the outpur is a matrix of the same size as the integrand. Integrate[f[u,t],{u,s,t}] {{t*(-(s^2/2) + t^2/2), t^2*(-(s^2/2) + t^2/2)}, {t*(-(s^3/3) + t^3/3), t^2*(-(s^3/3) + t^3/3)}} -- Allan --------------------- Allan Hayes Mathematica Training and Consulting Leicester UK www.haystack.demon.co.uk hay at haystack.demon.co.uk Voice: +44 (0)116 271 4198 Fax: +44 (0)870 164 0565 "Martin Richter" <mrMICE.fi at cbs.dk> wrote in message news:97cemm$d9s at smc.vnet.net... > Hi > > I'm using Mathematical 4.0. The problem is the following. > > I have a function, say f[s_,t_], there s,t are real numbers and the output > is a matrix of size (n,n). I need to integrate each component in the matrix, > i.e. make a new function, like this: > g[s_,t_] := Integrate[f[u,t], {u,s,t}] // error > > So right now I have a line for each element but I think there is a one-line > way of doing this (using Map or Apply) ? > > Thanks IA for any help > Martin > > > ---------------------------------------------- > Please remove the PET to reply by email > > >