Kuhn and Tucker: nonlinear programming optimality conditions

What changed

Formulated multiplier necessary conditions and saddle-point analysis for nonlinear constraints.

Scientific scope

The record is the exact two-author 1951 Berkeley Symposium paper. The conditions are not automatically sufficient without additional assumptions and do not absorb Karush’s earlier thesis, later constraint qualifications or modern numerical algorithms.

Evidence

The linked sources identify this contribution and its scope. WRS has not independently reconstructed the scientific claims. The record is the exact two-author 1951 Berkeley Symposium paper. The conditions are not automatically sufficient without additional assumptions and do not absorb Karush’s earlier thesis, later constraint qualifications or modern numerical algorithms.

Contributors

• Harold W. Kuhn · SCIENCE: Named source author of the scoped work; individual effort shares are not measured.
• Albert W. Tucker · SCIENCE: Named source author of the scoped work; individual effort shares are not measured.

• Berkeley repository record for Nonlinear Programming
• zbMATH record for Kuhn-Tucker nonlinear programming

Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

Full scientific record · Browse contribution grades · Request a correction