, Volume 46, Issue 1-3, pp 321-328

An algorithm for a singly constrained class of quadratic programs subject to upper and lower bounds

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This paper gives an O(n) algorithm for a singly constrained convex quadratic program using binary search to solve the Kuhn-Tucker system. Computational results indicate that a randomized version of this algorithm runs in expected linear time and is suitable for practical applications. For the nonconvex case anε-approximate algorithm is proposed which is based on convex and piecewise linear approximations of the objective function.