Log-domain interior-point methods for convex quadratic programming

Applying an interior-point method to the central-path conditions is a widely used approach
for solving quadratic programs. Reformulating these conditions in the log-domain is a natural
variation on this approach that to our knowledge is previously unstudied. In this paper, we
analyze log-domain interior-point methods and prove their polynomial-time convergence. We
also prove that they are approximated by classical barrier methods in a precise sense and provide
simple computational experiments illustrating their superior performance.

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