By Dimitri P. Bertsekas,Werner Rheinboldt
The e-book first bargains info at the approach to multipliers for equality limited difficulties and the tactic of multipliers for inequality limited and nondifferentiable optimization difficulties. Discussions concentrate on approximation systems for nondifferentiable and ill-conditioned optimization difficulties; asymptotically designated minimization within the tools of multipliers; duality framework for the tactic of multipliers; and the quadratic penalty functionality approach. The textual content then examines certain penalty tools, together with nondifferentiable unique penalty features; linearization algorithms in accordance with nondifferentiable distinct penalty capabilities; differentiable precise penalty capabilities; and native and international convergence of Lagrangian tools.
The booklet ponders at the nonquadratic penalty capabilities of convex programming. themes contain huge scale separable integer programming difficulties and the exponential approach to multipliers; periods of penalty features and corresponding equipment of multipliers; and convergence research of multiplier tools.
The textual content is a important reference for mathematicians and researchers drawn to the Lagrange multiplier methods.
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Constrained Optimization and Lagrange Multiplier Methods (Computer Science & Applied Mathematics) by Dimitri P. Bertsekas,Werner Rheinboldt