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In this paper, we propose a large-update primal-dual interior point algorithm for convex quadratic semidefinite optimization (CQSDO) based on a new parametric kernel function. This kernel function is a parameterized version of the kernel function introduced by M.W. Zhang (Acta Mathematica Sinica. 28: 2313-2328, 2012) for CQSDO. The investigation according to it generating the best known iteration bound O( √ n logn log ε ) for large-update methods. Thus improves the iteration bound obtained by Zhang for large-update methods. Finally, we present few numerical results to show the efficiency of the proposed algorithm.

A Parametric Kernel Function Generating the best Known Iteration Bound for Large-Update Methods for CQSDO