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STABLE REDUCTION TO KKT SYSTEMS IN BARRIER METHODS FOR LINEAR AND QUADRATIC PROGRAMMING
interior methods barrier methods linear programming
2015/7/3
We discuss methods for solving the key linear equations within primal-dual barrier
methods for linear and quadratic programming. Following Freund and Jarre, we explore methods
for reducing the Newto...
SOLVING REGULARIZED LINEAR PROGRAMS USING BARRIER METHODS AND KKT SYSTEMS
barrier methods interior methods linear programming
2015/7/3
We discuss the solution of regularized linear programs using a primal-dual barrier
method. Our implementation is based on indeˉnite Cholesky-type factorizations of full and reduced
KKT systems. Regu...
ON PROJECTED NEWTON BARRIER METHODS FOR LINEAR PROGRAMMING AND AN EQUIVALENCE TO KARMARKAR'S PROJECTIVE METHOD
Linear programming Karmarkar's method
2015/7/3
Interest in linear programming has been intensified recently by Karmarkar's publication in 1984
of an algorithm that is claimed to be much faster than the simplex method for practical problems.
We...