The MOSEK Python optimizer API manual Version 7.0 (Revision 141)

Optimizer API for Python - Documentation - Mosek Optimizer API for Python - Documentation - Mosek

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626 BIBLIOGRAPHY [14] Andersen, E. D. and Ye, Y.. A computational study of the homogeneous algorithm for large-scale convex optimization. Computational Optimization and Applications 10:243- 269 [15] Andersen, E. D. and Ye, Y.. On a homogeneous algorithm for the monotone complementarity problem. Math. Programming February 2:375-399 [16] Wolsey, L. A.. Integer programming, 1998. John Wiley and Sons [17] Roos, C., Terlaky, T. and Vial, J. -Ph.. Theory and algorithms for linear optimization: an interior point approach, 1997. John Wiley and Sons, New York [18] Wallace, S. W.. Decision making under uncertainty: Is sensitivity of any use. Oper. Res. January 1:20-25 [19] G. W. Stewart. Matrix Algorithms. Volume 1: Basic decompositions, 1998. P SIAM

Index analyzenames (Task method), 204 analyzeproblem (Task method), 204 analyzesolution (Task method), 204 API reference, 199 appendbarvars (Task method), 205 appendcone (Task method), 206 appendconeseq (Task method), 207 appendconesseq (Task method), 208 appendcons (Task method), 208 appendsparsesymmat (Task method), 209 appendstat (Task method), 210 appendvars (Task method), 210 attaching streams, 29 basis identification, 142 basiscond (Task method), 210 bounds, infinite, 124 certificate dual, 126, 129, 131, 133 primal, 126, 129, 131 checkconvexity (Task method), 211 checkinlicense (Env method), 363 checkmem (Task method), 211 checkoutlicense (Env method), 364 chgbound (Task method), 212 commitchanges (Task method), 213 complementarity conditions, 125 concurrent optimization, 149 concurrent solution, 148 conic, 34, 38 optimization, 127 problem, 127 conic optimization, 34, 38 conic problem example, 36 conic quadratic optimization, 34 constraint matrix, 123, 588 quadratic, 132 constraints lower limit, 123, 588 number of, 25 upper limit, 123, 588 continuous relaxation, 155 convex quadratic problem, 44 copyright, ii deletesolution (Task method), 213 dual certificate, 126, 129, 131, 133 dual feasible, 124 dual infeasible, 124, 126, 129, 131, 133 duality gap, 124 dualizer, 137 dualsensitivity (Task method), 213 echointro (Env method), 364 eliminator, 137 env, creating, 22 env, initializing, 22 example conic problem, 36 cqo1, 36 ill-posed, 178 linear dependency, 177 complo1, 25 complo2, 32 compmilo1, 54 mioinitsol, 57 compqo1, 45 quadratic constraints, 49 quadratic objective, 45 sdo1, 40 semidefinite problem, 40 simple, 22 exception handling, 60 627

Index<br />

analyzenames (Task method), 204<br />

analyzeproblem (Task method), 204<br />

analyzesolution (Task method), 204<br />

<strong>API</strong> reference, 199<br />

appendbarvars (Task method), 205<br />

appendcone (Task method), 206<br />

appendconeseq (Task method), 207<br />

appendconesseq (Task method), 208<br />

appendcons (Task method), 208<br />

appendsparsesymmat (Task method), 209<br />

appendstat (Task method), 210<br />

appendvars (Task method), 210<br />

attaching streams, 29<br />

basis identification, 142<br />

basiscond (Task method), 210<br />

bounds, infinite, 124<br />

certificate<br />

dual, 126, 129, 131, 133<br />

primal, 126, 129, 131<br />

checkconvexity (Task method), 211<br />

checkinlicense (Env method), 363<br />

checkmem (Task method), 211<br />

checkoutlicense (Env method), 364<br />

chgbound (Task method), 212<br />

commitchanges (Task method), 213<br />

complementarity conditions, 125<br />

concurrent optimization, 149<br />

concurrent solution, 148<br />

conic, 34, 38<br />

optimization, 127<br />

problem, 127<br />

conic optimization, 34, 38<br />

conic problem example, 36<br />

conic quadratic optimization, 34<br />

constraint<br />

matrix, 123, 588<br />

quadratic, 132<br />

constraints<br />

lower limit, 123, 588<br />

number of, 25<br />

upper limit, 123, 588<br />

continuous relaxation, 155<br />

convex quadratic problem, 44<br />

copyright, ii<br />

deletesolution (Task method), 213<br />

dual certificate, 126, 129, 131, 133<br />

dual feasible, 124<br />

dual infeasible, 124, 126, 129, 131, 133<br />

duality gap, 124<br />

dualizer, 137<br />

dualsensitivity (Task method), 213<br />

echointro (Env method), 364<br />

eliminator, 137<br />

env, creating, 22<br />

env, initializing, 22<br />

example<br />

conic problem, 36<br />

cqo1, 36<br />

ill-posed, 178<br />

linear dependency, 177<br />

complo1, 25<br />

complo2, 32<br />

compmilo1, 54<br />

mioinitsol, 57<br />

compqo1, 45<br />

quadratic constraints, 49<br />

quadratic objective, 45<br />

sdo1, 40<br />

semidefinite problem, 40<br />

simple, 22<br />

exception handling, 60<br />

627

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