Variable projection Method combined as projected SOR as inner solver Diagonal matrix D=identity ***INPUT PARAMETERS*** size of the problem = 2000 number of the linear constraints = 1000 number of the equality constraints= 500 rank of A= 2000 norm of A= 1.53218594710178 sparsity of A (percentage)= 99.7997970581055 sparsity of C (percentage)= 99.7999038696289 maximum number of nonzero elements per row of A = 13 of C = 22 updating rule for the projection parameter= 1 initial projection parameter= 3.845620089516017E-002 outer tolerance = 1.000000000000000E-006 minimum inner tolerance (epstart)= 1.000000000000000E-002 maximum inner tolerance (epssor) = 1.000000000000000E-007 inner tolerance: epsk=min(epstart,max(kkt**1.5,epssor)) where kkt= norm of the vector A x + q - Bt yz relaxation parameter = 1.40000000000000 info = 0 Elapsed time in seconds = 0.781250000000000 Number of VPM iterations = 94 Total number of inner iterations= 564 Maximum number of nonzero elements per row in the matrix of linear complementarity problem (or in the inner linear system = 22 number of outer iterations using the correction rule = 25 Computed minimum value of f(x) = -169.516652754633 Exact minimum value of f(x) = -169.516652756219 Relative error = 9.356278850875779E-012 relative error of the solution (2-norm) = 5.307271174113213E-006 number of active constraints = 600 ********Solution*********** 1 0.3938947E+00 2 -0.8681405E-01 3 -0.1572461E+00 4 -0.8313164E+00 5 -0.1873398E+00 6 0.6289335E+00 7 -0.1836597E+00 8 0.8160459E+00 9 -0.5192769E+00 10 0.7162654E-01 11 -0.8202825E+00 12 -0.8795643E-01 13 0.9410080E+00 14 0.4869348E+00 15 0.1031862E+00 16 0.9737201E+00 17 -0.1227299E+00 18 -0.8235714E+00 19 0.7537745E+00 20 0.4545738E+00 21 0.9679778E+00 22 -0.7378945E+00 23 0.3668924E+00 24 0.9026392E+00 25 0.3866782E+00 26 -0.5197872E+00 27 0.8238474E+00 28 0.3197387E+00 29 0.4259825E-01 30 0.2231185E+00 31 0.5789672E+00 32 0.6906594E+00 33 -0.8447706E+00 34 0.5479778E+00 35 0.2800844E+00 36 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-0.3346112E+00 1929 0.7442838E+00 1930 0.9382334E+00 1931 0.8428490E+00 1932 0.7440380E+00 1933 -0.2443816E-01 1934 0.8513283E-01 1935 0.4061449E-01 1936 -0.7913302E+00 1937 -0.3854659E+00 1938 0.2620925E+00 1939 0.4705807E+00 1940 0.5442761E+00 1941 0.6084677E+00 1942 0.2573696E+00 1943 0.2639105E+00 1944 -0.9458351E-02 1945 0.7317398E+00 1946 0.5398777E+00 1947 0.8109421E+00 1948 0.9635963E+00 1949 0.6389418E+00 1950 0.8635568E+00 1951 -0.9991799E+00 1952 -0.3523108E+00 1953 0.2519486E+00 1954 -0.1614596E+00 1955 0.1544722E+00 1956 -0.7744637E+00 1957 0.5747684E+00 1958 0.6878696E+00 1959 0.4947039E+00 1960 0.7160887E+00 1961 -0.4701834E+00 1962 0.9085045E+00 1963 -0.5028467E+00 1964 0.8884724E+00 1965 -0.9053219E-01 1966 -0.9446211E+00 1967 -0.3415108E-01 1968 -0.7791479E+00 1969 -0.9634227E+00 1970 -0.6327416E+00 1971 -0.8228674E+00 1972 -0.6270336E+00 1973 -0.7722647E+00 1974 0.4531400E+00 1975 -0.6431037E-01 1976 0.1410712E+00 1977 -0.3469899E+00 1978 -0.2420496E+00 1979 -0.1135623E+00 1980 0.3640951E+00 1981 -0.3140769E+00 1982 -0.9737085E+00 1983 0.9260268E+00 1984 -0.2503391E+00 1985 -0.6625913E+00 1986 -0.5170188E+00 1987 0.5769718E-01 1988 -0.9111778E+00 1989 -0.1324914E+00 1990 0.9491454E+00 1991 0.5332468E+00 1992 0.8282033E+00 1993 -0.8314496E+00 1994 0.6125993E+00 1995 -0.3741408E+00 1996 0.4683143E+00 1997 0.1356137E-01 1998 0.6712833E+00 1999 0.8775392E+00 2000 0.7567286E+00 ********Vector of Lagrance multipliers*********** 1 0.3819703E+00 2 0.1599667E+00 3 0.1312952E+00 4 0.2067834E+00 5 0.2232232E+00 6 0.1183134E+00 7 0.2401850E+00 8 0.8238954E+00 9 0.2328384E+00 10 0.1225191E+00 11 0.1379996E+00 12 0.1617791E+00 13 0.1138967E+00 14 0.1489057E+00 15 0.6485401E+00 16 0.4619911E+00 17 0.3772190E+00 18 0.5467350E+00 19 0.3218970E+00 20 0.3173975E+00 21 0.1771845E+00 22 0.3297092E+00 23 0.6189141E+00 24 0.1308605E+00 25 0.7183683E+00 26 0.1090073E+00 27 0.1034716E+00 28 0.4790629E+00 29 0.1077691E+00 30 0.2174825E+00 31 0.3562857E+00 32 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