nonnegativity

This is well defined by the nonnegativity axiom of the definition of inner product space.

Sethi extended the theory to deal with the special characteristics of management problems, such as the nonnegativity constraints and time lags.

Another example is the convex set of probability distributions, as linear combinations preserve neither nonnegativity nor affinity (i.e., having total integral one).

Abundance Nonnegativity Constraint (ANC) - each element of x is positive.

Introducing a slack variable replaces an inequality constraint with an equality constraint and a nonnegativity constraint.

The resulting nonlinear programming problem with nonnegativity constraints is solved and an extensive sensitivity analysis is presented for cost related and noncost parameters of the problem.

Bernard A. Asner, Jr., On the Total Nonnegativity of the Hurwitz Matrix, SIAM Journal on Applied Mathematics, Vol.

This dynamics differs from that of ordinary differential equations in that solutions are still restricted to whatever constraint set the underlying equilibrium problem was working on, e.g. nonnegativity of investments in financial modeling, convex polyhedral sets in operations research, etc.

In semidefinite programming, we instead use real-valued vectors and are allowed to take the dot product of vectors; nonnegativity constraints on real variables in LP are replaced by semidefiniteness constraints on matrix variables in SDP.

This solution gives the primal variables as functions of the Lagrange multipliers, which are called dual variables, so that the new problem is to maximize the objective function with respect to the dual variables under the derived constraints on the dual variables (including at least the nonnegativity).

It is not true that adding nonnegativity to this characterization gives the nonnegative rank: The nonnegative rank is in general strictly greater than the largest number of columns such that no selected column can be written as a nonnegative linear combination of the other selected columns.