The MOSEK Python optimizer API manual Version 7.0 (Revision 141)

5.13. CONVENTIONS EMPLOYED IN THE API 71
Symbolic constant Lower bound Upper bound
boundkey.fx finite identical to the lower bound
boundkey.fr minus infinity plus infinity
boundkey.lo finite plus infinity
boundkey.ra finite finite
boundkey.up minus infinity finite
Table 5.3: Interpretation of the bound keys.
• The linear terms in the constraints:
a asub[t],j = aval[t], t = ptrb[j], . . . , ptre[j] − 1,
j = 0, . . . , numvar − 1.
(5.16)
• The bounds on the constraints are specified using the variables bkc, blc, and buc. The components
of the integer array bkc specify the bound type according to Table 5.3. For instance
bkc[2]=boundkey.lo means that −∞ < l c 2 and u c 2 = ∞. Finally, the numerical values of the
bounds are given by
and
l c k = blc[k], k = 0, . . . , numcon − 1
u c k = buc[k], k = 0, . . . , numcon − 1.
• The bounds on the variables are specified using the variables bkx, blx, and bux. The components
in the integer array bkx specify the bound type according to Table 5.3. The numerical values for
the lower bounds on the variables are given by
l x j = blx[j], j = 0, . . . , numvar − 1.
The numerical values for the upper bounds on the variables are given by
u x j = bux[j], j = 0, . . . , numvar − 1.
5.13.1.1 Bounds
A bound on a variable or on a constraint in MOSEK consists of a bound key, as defined in Table 5.3,
a lower bound value and an upper bound value. Even if a variable or constraint is bounded only from
below, e.g. x ≥ 0 , both bounds are inputted or extracted; the value inputted as upper bound for
(x ≥ 0) is ignored.