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Large-scale linearly constrained optimization (1978)

Murtagh, B. A. ; Saunders, M. A.

Springer

Mathematical programming 14 (1978), S. 41-72

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ISSN: 1436-4646

Keywords: Large-scale Systems ; Linear Constraints ; Linear Programming ; Nonlinear Programming ; Optimization ; Quasi-Newton Method ; Reduced-gradient Method ; Simplex Method ; Sparse Matrix ; Variable-metric Method

Source: Springer Online Journal Archives 1860-2000

Topics: Computer Science , Mathematics

Notes: Abstract An algorithm for solving large-scale nonlinear programs with linear constraints is presented. The method combines efficient sparse-matrix techniques as in the revised simplex method with stable quasi-Newton methods for handling the nonlinearities. A general-purpose production code (MINOS) is described, along with computational experience on a wide variety of problems.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01588950

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