Primal-dual bilinear programming solution of the absolute value equation

نویسنده

  • Olvi L. Mangasarian
چکیده

We propose a finitely terminating primal-dual bilinear programming algorithm for the solution of the NP-hard absolute value equation (AVE): Ax− |x| = b, where A is an n× n square matrix. The algorithm, which makes no assumptions on AVE other than solvability, consists of a finite number of linear programs terminating at a solution of the AVE or at a stationary point of the bilinear program. The proposed algorithm was tested on 500 consecutively generated random instances of the AVE with n =10, 50, 100, 500 and 1,000. The algorithm solved 88.6% of the test problems to an accuracy of 1e− 6 .

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عنوان ژورنال:
  • Optimization Letters

دوره 6  شماره 

صفحات  -

تاریخ انتشار 2012