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Dual periodicity in -norm minimisation problems |
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| Authors: | Robin D Hill |
| Affiliation: | aSir Lawrence Wackett Aerospace Centre, School of Mathematical and Geospatial Science, RMIT University, Latrobe St., Melbourne, 3001, Australia |
| Abstract: | The topic of this paper is the discrete-time l1-norm minimisation problem with convolution constraints. We find primal initial conditions for which the dual optimal solution is periodic. Periodicity of the dual optimal solution implies satisfaction of a simple linear recurrence relation by the primal optimal solution. |
| Keywords: | color:black" href="/science?_ob=MathURL&_method=retrieve&_udi=B6V4X-4RJJRC7-1&_mathId=mml4&_user=10&_cdi=5770&_rdoc=7&_acct=C000069468&_version=1&_userid=6189383&md5=2ea28adc6b6b8eb460c4fa64c486571a" title="Click to view the MathML source" l1-norm minimisation" target="_blank">alt="Click to view the MathML source">l1-norm minimisation Linear programming Duality Convolution constraints |
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