An efficient algorithm for a class of equality-constrained optimization problems

DOI10.1080/02331938708843267zbMath0646.90073OpenAlexW1984596678MaRDI QIDQ3790952

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Publication date: 1987

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331938708843267

zbMATH Keywords

superlinear convergenceleast distance problemLagrange multiplier-free method

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Numerical computation of solutions to systems of equations (65H10)

Related Items (1)

Variants of the reduced Newton method for nonlinear equality constrained optimization problems

Cites Work

• Computing simple bifurcation points using a minimally extended system of nonlinear equations
• Zur Lösung parameterabhängiger nichtlinearer Gleichungen mit singulären Jacobi-Matrizen
• Computing turning points of curves implicitly defined by nonlinear equations depending on a parameter
• Diagonalized multiplier methods and quasi-Newton methods for constrained optimization
• Least-Squares-Lösungen und Dämpfung bei unterbestimmten nichtlinearen Gleichungssystemen
• On a numerical treatment for the curve-tracing of the homotopy method
• Extension of Newton's method to nonlinear functions with values in a cone
• Variants of the reduced Newton method for nonlinear equality constrained optimization problems
• A Trust Region Algorithm for Equality Constrained Minimization: Convergence Properties and Implementation
• Projected Hessian Updating Algorithms for Nonlinearly Constrained Optimization
• On the Local Convergence of Quasi-Newton Methods for Constrained Optimization

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