# On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming

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...An excellent, open source implementation of the interior point algorithm is the code IPOPT (Wächter & Biegler, 2006)....

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### "On the implementation of an interio..." refers background in this paper

..., [7, 12]) to improve the proposed step if a trial point has been rejected....

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...Note that if the regularization parameter ζ > 0 is chosen sufficiently small, the optimization problem (30) is the exact penalty formulation [12] of the problem “find the feasible point that is closest (in a weighted norm) to the reference point x̄R ,”...

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### "On the implementation of an interio..." refers methods in this paper

...For the comparisons in the next sections we make use of the Dolan-Moré performance profiles [9]....

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...4 The problems with altered problem size are CATENARY, CHARDIS1, CONT5-QP, CONT6-QQ, CVXQP1, CVXQP2, CVXQP3, DRCAV1LQ, DRCAV2LQ, DRCAV3LQ, DRCAVTY3, EG3, EIGENA, EIGENALS, EIGENB, EIGENB2, EIGENBCO, EIGENBLS, EIGENC, EIGENC2, EIGENCCO, EIGENCLS, FLOSP2HH, FLOSP2HL, FLOSP2HM, FMINSURF, GAUSSELM, HARKERP2, LUBRIF, LUBRIFC, NCVXQP[1-9], NONCVXU2, NONMSQRT, POWER, SCURLY30, SPARSINE, SPARSQUR....

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...Furthermore, IPOPT aborted in 3 problems because it reverted to the restoration phase when the constraint violation was already below the termina- 4 The problems with altered problem size are CATENARY, CHARDIS1, CONT5-QP, CONT6-QQ, CVXQP1, CVXQP2, CVXQP3, DRCAV1LQ, DRCAV2LQ, DRCAV3LQ, DRCAVTY3, EG3, EIGENA, EIGENALS, EIGENB, EIGENB2, EIGENBCO, EIGENBLS, EIGENC, EIGENC2, EIGENCCO, EIGENCLS, FLOSP2HH, FLOSP2HL, FLOSP2HM, FMINSURF, GAUSSELM, HARKERP2, LUBRIF, LUBRIFC, NCVXQP[1-9], NONCVXU2, NONMSQRT, POWER, SCURLY30, SPARSINE, SPARSQUR....

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