# American Institute of Mathematical Sciences

2013, 3(4): 601-614. doi: 10.3934/naco.2013.3.601

## A full Nesterov-Todd step infeasible interior-point algorithm for symmetric optimization based on a specific kernel function

 1 Department of Mathematics, Tabriz University Tabriz

Received  November 2011 Revised  June 2013 Published  October 2013

We present a full Nesterov-Todd step infeasible interior-point algorithm based on a kernel function. Each main iteration of the algorithm consists of a feasibility step and some centering steps. We introduce a kernel function in the algorithm to induce the feasibility step. The iteration bound coincides with the best iteration bound for infeasible interior-point methods, that is, $O(r\log\frac{r}{\epsilon})$, where $r$ is the rank of Euclidean Jordan algebra.
Citation: Behrouz Kheirfam. A full Nesterov-Todd step infeasible interior-point algorithm for symmetric optimization based on a specific kernel function. Numerical Algebra, Control & Optimization, 2013, 3 (4) : 601-614. doi: 10.3934/naco.2013.3.601
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##### References:
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