Introduction - If you have any usage issues, please Google them yourself
Orthogonal Matching Pursuit (OMP) toolbox : http://www.cs.technion.ac.il/~ronrubin/software.html
l1_ls toolbox: http://stanford.edu/~boyd/l1_ls/
FISTA : http://www.eecs.berkeley.edu/~yang/software/l1benchmark/
l1-Homotopy: http://users.ece.gatech.edu/~sasif/homotopy/
PALM and DALM: http://www.eecs.berkeley.edu/~yang/software/l1benchmark/index.html
TPTSR;http://www.yongxu.org/lunwen.html