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Generalization to Several Functions

The result of the above section is easily extensible to the general case in which the objective functional and equality constraints depend on several functions. [Pg.96]

If satisfying the above constraints I is optimum at y = y such that [Pg.97]

The constraint qualification yo 7 0 can be simplified by expanding the terms of the determinant. In general [Pg.97]

If a determinant is not zero, it means that its rows are linearly independent. In other words, none of the rows can be expressed as a linear combination of other rows. This result in case of the above determinant r o rneans that there is no Ki that can be expressed as a linear combination of other Kjy [Pg.98]

As a consequence, the simplified constraint qualification is that the vectors [Pg.98]


See other pages where Generalization to Several Functions is mentioned: [Pg.37]    [Pg.52]    [Pg.96]   


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