# x61.txt # # Discussion: # # This is simply a list of the total system size, # and the files that describe the subsystems. # # The first subsystem is a matrix A and right hand side B # whose residual norm || A * X - B || is to be minimized. # # The second subsystem is a matrix C and right hand side D # which represent constraints, that is, it must be the # case that C * X = D exactly. # # The third subsystem is a matrix E and right hand side H # which represent positivity constraints, that is, it must be the # case that E * X >= H. # # The rank of A is 3, the rank of C is 2. # # For the L1 problem, the solution is # # ( 0, 1.737705, 0, -0.2377049, -0.1885246 ) # # with an L1 error of 26.148. # # Reference: # # I Barrodale and F Roberts, # Algorithm 552: # Solution of the Constrained L1 Approximation Problem, # ACM Transactions on Mathematical Software, # Volume 6, Number 2, pages 231-235, 1980. # 7 columns 13 rows 3 subsystems x61_01.txt