On the Local Convergence of a Predictor-Corrector Method for Semidefinite Programming

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On the Local Convergence of a Predictor-Corrector Method for Semidefinite Programming

We study the local convergence of a predictor-corrector algorithm for semideenite programming problems based on the Monteiro-Zhang uniied direction whose polynomial convergence was recently established by Monteiro. We prove that the suucient condition for superlinear convergence of Potra and Sheng applies to this algorithm and is independent of the scaling matrices. Under strict complementarity...

متن کامل

Local convergence for sequential semidefinite programming

We examine the local convergence of the sequential semidefinite programming algorithmfor solving optimization problems with nonlinear semidefinite constraints. The papers [1, 2]present a proof of local quadratic convergence of this algorithm under a strong assumption ofa second order sufficient optimality condition for a local minimizer. The present work extendslightly the a...

متن کامل

Superlinear Convergence of a Predictor-corrector Method for Semideenite Programming without Shrinking Central Path Neighborhood

An infeasible start predictor-corrector algorithm for semideenite programming is proposed. It is a direct extension of the Mizuno-Todd-Ye predictor-corrector algorithm for linear programming. The algorithm uses the

متن کامل

A Note on the Local Convergence of a Predictor-Corrector Interior-Point Algorithm for the Semidefinite Linear Complementarity Problem Based on the Alizadeh--Haeberly--Overton Search Direction

This note points out an error in the local quadratic convergence proof of the predictorcorrector interior-point algorithm for solving the semidefinite linear complementarity problem based on the Alizadeh–Haeberly–Overton search direction presented in [M. Kojima, M. Shida, and S. Shindoh, SIAM J. Optim., 9 (1999), pp. 444–465]. Their algorithm is slightly modified and the local quadratic converg...

متن کامل

Local and superlinear convergence of a primal-dual interior point method for nonlinear semidefinite programming

In this paper, we consider a primal-dual interior point method for solving nonlinear semidefinite programming problems. We propose primal-dual interior point methods based on the unscaled and scaled Newton methods, which correspond to the AHO, HRVW/KSH/M and NT search directions in linear SDP problems. We analyze local behavior of our proposed methods and show their local and superlinear conver...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: SIAM Journal on Optimization

سال: 1999

ISSN: 1052-6234,1095-7189

DOI: 10.1137/s1052623497316828