论文信息 - Technical Note - The One-Dimensional Generalized Lagrange Multiplier Problem

Technical Note - The One-Dimensional Generalized Lagrange Multiplier Problem

We develop a unified approach for a generalized Lagrange multiplier problem with one multiplier. The major result is a convergence theorem for interval reduction. Comparative analysis of bisection, linear interpolation, and tangential approximation reveals the relative advantages of tangenital approximation.

Harvey J. Greenberg

[1] Harvey J. Greenberg,et al. Optimal Weapon Allocation with Overlapping Area Defenses , 1973, Oper. Res..

[2] Arthur M. Geoffrion,et al. Letter to the Editor - Finding Everett's Lagrange Multipliers by Linear Programming , 1966, Operational Research.

[3] Leon S. Lasdon,et al. Optimization Theory of Large Systems , 1970 .

[4] Harvey J. Everett. Generalized Lagrange Multiplier Method for Solving Problems of Optimum Allocation of Resources , 1963 .

[5] B. L. Fox,et al. Searching for the Multiplier in One-Constraint Optimization Problems , 1970, Oper. Res..