AN EFFICIENT PRIMAL-DUAL INTERIOR-POINT METHOD FOR MINIMIZING A SUM OF EUCLIDEAN NORMS.

Autor: Andersen, Knud D.¹ na.kandersen@na-net.ornl.gov, Christiansen, Edmund² edc@imada. sdu.dk, Conn, Andrew R.³ arconn@watson. ibm.com, Overton, Michael L.⁴ overton@cs.nyu.edu

Publikováno v: SIAM Journal on Scientific Computing. 2000, Vol. 22 Issue 1, p243-262. 20p.

Minimizing a sum of norms subject to linear equality constraints

Autor: Andersen, Knud D., Christiansen, Edmund

Publikováno v: Andersen, K D & Christiansen, E 1998, ' Minimizing a sum of norms subject to linear equality constraints ', Computational Optimization and Applications, vol. 11, no. 1, pp. 65-79 . https://doi.org/10.1023/A:1018322318259

Numerical analysis of a class of nonlinear duality problems is presented. One side of the duality is to minimize a sum of Euclidean norms subject to linear equality constraints (the constrained MSN problem). The other side is to maximize a linear obj

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od______3062::8f443e7b79ba5bbdc8075d8c155bc614
https://portal.findresearcher.sdu.dk/da/publications/dd4cc5f1-e7f0-4b75-97d0-77c84b1a91cb

The APOS linear programming solver : an implementation of the homogeneous algorithm

Autor: ANDERSEN, Erling D., ANDERSEN, Knud D.

The purpose of this work is to present the APOS linear programming (LP) solver intended for solution of large-scale sparse LP problems. The solver is based on the homogeneous interior- point algorithm which in contrast to the primal-dual algorithm de

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od_______645::67659f1000b3abddf98ac91126dcce26
http://alfresco.uclouvain.be/alfresco/download/attach/workspace/SpacesStore/e90c881b-015e-4f67-9a8f-94f60881de7e/coredp_1997_30.pdf

Computation of collapse states with von Mises type yield condition.

Autor: Christiansen, Edmund, Andersen, Knud D.

Publikováno v: International Journal for Numerical Methods in Engineering; 1999, Vol. 46 Issue 8, p1185-1202, 18p

Limit analysis with the dual affine scaling algorithm

Autor: Andersen, Knud D., Christiansen, Edmund

Publikováno v: In Journal of Computational and Applied Mathematics 1995 59(2):233-243