Titlebook: Computational Optimization; A Tribute to Olvi Ma Jong-Shi Pang Book 1999 Springer Science+Business Media New York 1999 Analysis.MATLAB.Sage

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Jubilation

Solving Euclidean Distance Matrix Completion Problems Via Semidefinite Programming,an equivalent (quadratic objective function) semidefinite programming problem (SDP). Numerical results are included which illustrate the efficiency and robustness of our approach. Our randomly generated problems consistently resulted in low dimensional solutions when no completion existed.

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dissolution

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Book 1999cludes: ..Algorithmic advances for special classes of constrainedoptimization problems ..Analysis of linear and nonlinear programs..Algorithmic advances ..B- stationary points of mathematicalprograms with equilibrium constraints ..Applications ofoptimization ..Some mathematical topics ..Systems of nonlinearequations...

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Hannes Krall,Jutta Fürst,Pierre Fontaine. As regards the behaviour of the sequence {.. alone, it is guaranteed that it converges at least superlinearly. At each iteration. the algorithm requires only the solution of a linear system that can be performed by means of conjugate gradient methods. Numerical experiments and comparison are reported.

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頭腦冷靜

A Shifted-Barrier Primal-Dual Algorithm Model for Linearly Constrained Optimization Problems,. As regards the behaviour of the sequence {.. alone, it is guaranteed that it converges at least superlinearly. At each iteration. the algorithm requires only the solution of a linear system that can be performed by means of conjugate gradient methods. Numerical experiments and comparison are reported.

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