An implicit function theorem
- K. Jittorntrum
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Suppose thatF:D⊂R n×Rm→Rn, withF(x 0,y 0)=0. The classical implicit function theorem requires thatF is differentiable with respect tox and moreover that ∂1 F(x 0,y 0) is nonsingular. We strengthen this theorem by removing the nonsingularity and differentiability requirements and by replacing them with a one-to-one condition onF as a function ofx.
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- An implicit function theorem
Journal of Optimization Theory and Applications
Volume 25, Issue 4 , pp 575-577
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- Kluwer Academic Publishers-Plenum Publishers
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- Implicit function theorem
- nonlinear programming
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- K. Jittorntrum (1)
- Author Affiliations
- 1. Computing Research Group, Australian National University, Canberra, Australia