The MOSEK command line tool Version 7.0 (Revision 141)

13.1. MPS FILE STRUCTURE 283
Field Starting Maximum Re- Description
position width quired
[vname1] 5 8 Yes Variable name
[vname2] 15 8 Yes Variable name
[value1] 25 12 Yes Numerical value
[vname3] 40 8 No Variable name
[value2] 50 12 No Numerical value
A record specifies one or two elements in the lower triangular part of the Q i matrix where [cname1]
specifies the i . Hence, if the names [vname1] and [vname2] have been assigned to the k th and j th
variable, then Q i kj
is assigned the value given by [value1] An optional second element is specified in
the same way by the fields [vname1], [vname3], and [value2].
The example
minimize − x 2 + 0.5(2x 2 1 − 2x 1 x 3 + 0.2x 2 2 + 2x 2 3)
subject to x 1 + x 2 + x 3 ≥ 1,
x ≥ 0
has the following MPS file representation
* File: qo1.mps
NAME
qo1
ROWS
N obj
G c1
COLUMNS
x1 c1 1.0
x2 obj -1.0
x2 c1 1.0
x3 c1 1.0
RHS
rhs c1 1.0
QSECTION obj
x1 x1 2.0
x1 x3 -1.0
x2 x2 0.2
x3 x3 2.0
ENDATA
Regarding the QSECTIONs please note that:
• Only one QSECTION is allowed for each constraint.
• The QSECTIONs can appear in an arbitrary order after the COLUMNS section.
• All variable names occurring in the QSECTION must already be specified in the COLUMNS section.
• All entries specified in a QSECTION are assumed to belong to the lower triangular part of the
quadratic term of Q .