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282 CHAPTER 13. THE MPS FILE FORMAT
Constraint
type
li c u c i
E v 1 v 1
G v 1
L v 1
N
An optional second element is specified by [cname2] and [value2] and is interpreted in the same way.
Please note that it is not necessary to specify zero elements, because elements are assumed to be zero.
13.1.8 RANGES (optional)
A record in this section has the form
[name] [cname1] [value1] [cname2] [value2]
where the requirements for each fields are as follows:
Field Starting Maximum Re- Description
position width quired
[name] 5 8 Yes Name of the RANGE vector
[cname1] 15 8 Yes Constraint name
[value1] 25 12 Yes Numerical value
[cname2] 40 8 No Constraint name
[value2] 50 12 No Numerical value
The records in this section are used to modify the bound vectors for the constraints, i.e. the values
in l c and u c . A record has the following interpretation: [name] is the name of the RANGE vector and
[cname1] is a valid constraint name. Assume that [cname1] is assigned to the i th constraint and let
v 1 be the value specified by [value1], then a record has the interpretation:
Constraint Sign of v 1 l c i u c i
type
E - u c i + v 1
E + l c i + v 1
G - or + l c i + |v 1|
L - or + u c i − |v 1|
N
13.1.9 QSECTION (optional)
Within the QSECTION the label [cname1] must be a constraint name previously specified in the ROWS
section. The label [cname1] denotes the constraint to which the quadratic term belongs. A record in
the QSECTION has the form
[vname1] [vname2] [value1] [vname3] [value2]
where the requirements for each field are: