Template-Type: ReDIF-Paper 1.0 Series: Tinbergen Institute Discussion Papers Creation-Date: 1997-02-15 Number: 97-025/4 Author-Name: Arjan B. Berkelaar Author-Workplace-Name: Erasmus University Rotterdam Author-Name: Jos F. Sturm Author-Workplace-Name: Erasmus University Rotterdam Author-Name: Shuzhong Zhang Author-Workplace-Name: Erasmus University Rotterdam Title: Polynomial Primal-Dual Cone Affine Scaling for Semidefinite Programming Abstract: In this paper we generalize the primal--dual cone affine scaling algorithm of Sturm and Zhang to semidefinite programming.We show in this paper that the underlying ideas of the cone affine scaling algorithm can be naturely applied to semidefiniteprogramming, resulting in a new algorithm. Compared to other primal--dual affine scaling algorithms for semidefiniteprogramming (see, De Klerk, Roos and Terlaky), our algorithm enjoys the lowest computationalcomplexity. Keywords: Semidefinite Programming; Affine Scaling; Primal-Dual Interior Point Methods File-Url: https://papers.tinbergen.nl/97025.pdf File-Format: application/pdf File-Size: 189295 bytes Handle: RePEc:tin:wpaper:19970025