Template-Type: ReDIF-Paper 1.0 Author-Name: Berkelaar, A.B. Author-Name-Last: Berkelaar Author-Name-First: Arjan Author-Name: Sturm, J.F. Author-Name-Last: Sturm Author-Name: Zhang, S. Author-Name-Last: Zhang Author-Name-First: Shuzhong 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 semidefinite programming, resulting in a new algorithm. Compared to other primal--dual affine scaling algorithms for semidefinite programming, our algorithm enjoys the lowest computational complexity. Creation-Date: 1996-01-01 File-URL: https://repub.eur.nl/pub/1397/eeb19960111120042.pdf File-Format: application/pdf Series: RePEc:ems:eureir Number: EI 9667-/A Keywords: affine scaling, primal--dual Interior point methods, semidefinite programming Handle: RePEc:ems:eureir:1397