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_get_Abc(lp, c0)

Minimize:

c @ x

Subject to:

A_ub @ x <= b_ub
A_eq @ x == b_eq
 lb <= x <= ub

where lb = 0 and ub = None unless set in bounds .

Return the problem in standard form:

Minimize:

c @ x

Subject to:

A @ x == b
    x >= 0

by adding slack variables and making variable substitutions as necessary.

Parameters

lp : A `scipy.optimize._linprog_util._LPProblem` consisting of the following fields:

c

c

A_ub

A_ub

b_ub

b_ub

A_eq

A_eq

b_eq

b_eq

bounds

bounds

x0

x0

c0 : float

Constant term in objective function due to fixed (and eliminated) variables.

Returns

A : 2-D array

2-D array such that A @ x , gives the values of the equality constraints at x .

b : 1-D array

1-D array of values representing the RHS of each equality constraint (row) in A (for standard form problem).

c : 1-D array

Coefficients of the linear objective function to be minimized (for standard form problem).

c0 : float

Constant term in objective function due to fixed (and eliminated) variables.

x0 : 1-D array

Starting values of the independent variables, which will be refined by the optimization algorithm

Given a linear programming problem of the form:

Examples

See :

Local connectivity graph

Hover to see nodes names; edges to Self not shown, Caped at 50 nodes.

Using a canvas is more power efficient and can get hundred of nodes ; but does not allow hyperlinks; , arrows or text (beyond on hover)

SVG is more flexible but power hungry; and does not scale well to 50 + nodes.

All aboves nodes referred to, (or are referred from) current nodes; Edges from Self to other have been omitted (or all nodes would be connected to the central node "self" which is not useful). Nodes are colored by the library they belong to, and scaled with the number of references pointing them


GitHub : /scipy/optimize/_linprog_util.py#1007
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