ieq(1) ieq(1) FORMAT OF '.ieq' - FILES TThhee ffiirrsstt lliinnee ccoonnttaaiinnss tthhee dimeennssiioonn ooff tthhee pprroobblleemm.. DIM = n IInn ggeenneerraall,, lliinneess ccoonnssiissttiinngg ooff aa ccaappiittaalliizzeedd kkeeyywwoorrdd aarree ssiiggnniiff-- iiccaanntt for input recognition. Such keywords can be COMMENT INEQUALITIES_SECTION END aanndd ffuunnccttiioonn ssppeecciiffiicc kkeeyywwoorrddss ((ssuucchh aass EELLIIMMIINNAATTIIOONN__OORRDDEERR)).. There is no restriction concerning the order of sections. The keyword COMMENT ccaauusseess tthhee pprrooggrraammss ttoo iiggnnoorree tthhee tteexxtt uunnttiill tthhee nneexxtt ccaappiittaalliizzeedd keyword occurs. The list of equalities resp. inequalities starts with the keyword INEQUALITIES_SECTION EEaacchh eeqquuaattiioonn rreesspp.. iinneeqquuaalliittiiyy rreeqquuiirreess oonnee lliinnee.. LLiinnee nnuummbbeerrss in parantheses are optional. The values are rational and have to be given by numerator and (optional) denomi- nator: (ln) num1/den1 xind1 + num2/den2 xind2 .... <= (=>,==) numrhs/denrhs e.g.: (2) -x2+3/4x5-3x7 >= 4/5 2x2- x3 = 8 TThhee kkeeyywwoorrdd END iiss rreeqquuiirreedd ttoo eenndd tthhee ffiillee.. file 'example.ieq': DIM = 5 VALID 3 3 0 2 3 LOWER_BOUNDS 0 1 2 2 2 UPPER_BOUNDS 2 2 2 5 5 ELIMINATION_ORDER 2 0 1 0 3 INEQUALITIES_SECTION February 16, 1994 1 ieq(1) ieq(1) ( 1) +27x1-28x2+57x4-37x5 == 0 ( 2) - x4+ x5 == 1 ( 1) + x2 -2x5 <= -3 ( 2) -x3 <= 0 -2x2 + x5 <= 0 -4/15x2-1/15x5 >= -1 END February 16, 1994 2