# x55.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 L1 solution is ( 0.08879311, 0.04051724, -0.0008620692, # -0.0008620694, -0.0008620694, -0.04051724, 0.887931 ) # with objective function value 0.6206897. # # Reference: # # Helmut Spaeth, # Mathematical Algorithms for Linear Regression, # Academic Press, 1991, page 219, page 323, # ISBN 0-12-656460-4. # 9 columns 13 rows 3 subsystems x55_01.txt