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A partial first-order affine-scaling method. (English) Zbl 1461.65153
Summary: We present a partial first-order affine-scaling method for solving smooth optimization with linear inequality constraints. At each iteration, the algorithm considers a subset of the constraints to reduce the complexity. We prove the global convergence of the algorithm for general smooth objective functions, and show it converges at sublinear rate when the objective function is quadratic. Numerical experiments indicate that our algorithm is efficient.
65K05 Numerical mathematical programming methods
90C30 Nonlinear programming
90C51 Interior-point methods
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