RE: sparse matrix

*To*: mathgroup at smc.vnet.net*Subject*: [mg35195] RE: [mg35190] sparse matrix*From*: "DrBob" <majort at cox-internet.com>*Date*: Mon, 1 Jul 2002 03:34:51 -0400 (EDT)*Sender*: owner-wri-mathgroup at wolfram.com

If the matrix is sparse, don't STORE it as a matrix -- you waste a lot of space if you do. Here's one way to do it, with a short example file I created: r = ReadList["sparse.txt", {Number, Number, Number}] {{2, 3, 12}, {1, 7, 41}} ClearAll[sparse] sparse[line_, col_] := 0 (sparse[#[[1]], #[[2]]] = #[[3]]) & /@ r; ?sparse Global`sparse sparse[1, 7] = 41 sparse[2, 3] = 12 sparse[line_, col_] := 0 The function "sparse" is zero for all inputs not found in the file. If you had a situation where other default values applied, that can be easily handled too. For instance, if the default diagonal values are one, while all others default to zero, define it this way: ClearAll[sparse] sparse[line_, line_] := 1 sparse[line_, col_] := 0 (sparse[#[[1]], #[[2]]] = #[[3]]) & /@ r; ?sparse Inputs from the file will override defaults. When you've defined "sparse" use Clear[r] to save space, or you can read entries one line at a time, defining "sparse" as you go along, so the "r" matrix isn't needed at all. Bobby Treat -----Original Message----- From: Louis Patrick O'Carroll [mailto:louis at dcc.ufmg.br] To: mathgroup at smc.vnet.net Subject: [mg35195] [mg35190] sparse matrix Hi, is it possible in mathematica to import from a text file a sparse matrix? The file is written in the form l c v where l is line, c is colum and v is a non zero value. Thanks for the help, Louis PS: please send the responce to my email address.