ILOG CPLEX supports the definition of quadratic constraints in SAV files with the .sav file extension, in LP files with the .lp file extension, and in MPS files with the .mps file extension. In LP files, you can state your quadratic constraints in the subject to section of the file. For more detail about representing QPC models in MPS file format, see the ILOG CPLEX File Format Reference Manual, especially the section Quadratically Constrained Programs (QCP) in MPS Files. Here is a sample of a file including quadratic constraints in MPS format.
NAME /ilog/models/miqcp/all/p0033_qc1.lp.gz
ROWS
N R100
L R118
L R119
L R120
L R121
L R122
L R123
L R124
L R125
L R126
L R127
L R128
L ZBESTROW
L QC1
L QC2
L QC3
L QC4
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COLUMNS
MARK0000 'MARKER' 'INTORG'
C157 R100 171
C157 R122 -300
C157 R123 -300
C158 R100 171
C158 R126 -300
C158 R127 -300
C159 R100 171
C159 R119 300
C159 R120 -300
C159 R123 -300
C159 QC1 1
C160 R100 171
C160 R119 300
C160 R120 -300
C160 R121 -300
C161 R100 163
C161 R119 285
C161 R120 -285
C161 R124 -285
C161 R125 -285
C162 R100 162
C162 R119 285
C162 R120 -285
C162 R122 -285
C162 R123 -285
C163 R100 163
C163 R128 -285
C164 R100 69
C164 R119 265
C164 R120 -265
C164 R124 -265
C164 R125 -265
C165 R100 69
C165 R119 265
C165 R120 -265
C165 R122 -265
C165 R123 -265
C166 R100 183
C166 R118 -230
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C167 R100 183
C167 R124 -230
C167 R125 -230
C168 R100 183
C168 R119 230
C168 R120 -230
C168 R125 -230
C169 R100 183
C169 R119 230
C169 R120 -230
C169 R123 -230
C170 R100 49
C170 R119 190
C170 R120 -190
C170 R122 -190
C170 R123 -190
C171 R100 183
C172 R100 258
C172 R118 -200
C173 R100 517
C173 R118 -400
C174 R100 250
C174 R126 -200
C174 R127 -200
C175 R100 500
C175 R126 -400
C175 R127 -400
C176 R100 250
C176 R127 -200
C177 R100 500
C177 R127 -400
C178 R100 159
C178 R119 200
C178 R120 -200
C178 R124 -200
C178 R125 -200
C179 R100 318
C179 R119 400
C179 R120 -400
C179 R124 -400
C179 R125 -400
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C180 R100 159
C180 R119 200
C180 R120 -200
C180 R125 -200
C181 R100 318
C181 R119 400
C181 R120 -400
C181 R125 -400
C182 R100 159
C182 R119 200
C182 R120 -200
C182 R122 -200
C182 R123 -200
C183 R100 318
C183 R119 400
C183 R120 -400
C183 R122 -400
C183 R123 -400
C184 R100 159
C184 R119 200
C184 R120 -200
C184 R123 -200
C185 R100 318
C185 R119 400
C185 R120 -400
C185 R123 -400
C186 R100 114
C186 R119 200
C186 R120 -200
C186 R121 -200
C187 R100 228
C187 R119 400
C187 R120 -400
C187 R121 -400
C188 R100 159
C188 R128 -200
C189 R100 318
C189 R128 -400
MARK0001 'MARKER' 'INTEND'
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RHS
rhs R118 -5
rhs R119 2700
rhs R120 -2600
rhs R121 -100
rhs R122 -900
rhs R123 -1656
rhs R124 -335
rhs R125 -1026
rhs R126 -5
rhs R127 -500
rhs R128 -270
rhs QC1 1
rhs QC2 2
rhs QC3 1
rhs QC4 1
BOUNDS
UP bnd C157 1
UP bnd C158 1
UP bnd C159 1
UP bnd C160 1
UP bnd C161 1
UP bnd C162 1
UP bnd C163 1
UP bnd C164 1
UP bnd C165 1
UP bnd C166 1
UP bnd C167 1
UP bnd C168 1
UP bnd C169 1
UP bnd C170 1
UP bnd C171 1
UP bnd C172 1
UP bnd C173 1
UP bnd C174 1
UP bnd C175 1
UP bnd C176 1
UP bnd C177 1
UP bnd C178 1
UP bnd C179 1
UP bnd C180 1
UP bnd C181 1
UP bnd C182 1
UP bnd C183 1
UP bnd C184 1
UP bnd C185 1
UP bnd C186 1
UP bnd C187 1
UP bnd C188 1
UP bnd C189 1
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QMATRIX
C158 C158 1
C158 C189 0.5
C189 C158 0.5
C189 C189 1
QCMATRIX QC1
C157 C157 1
C157 C158 0.5
C158 C157 0.5
C158 C158 1
C159 C159 1
C160 C160 1
QCMATRIX QC2
C161 C161 2
C162 C162 2
C163 C163 1
QCMATRIX QC3
C164 C164 1
C165 C165 1
QCMATRIX QC4
C166 C166 1
C167 C167 1
C168 C168 1
C169 C169 1
C171 C171 1
ENDATA
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