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Article #932min ||AX - XB|| s.t. X is unitary ?
From: Stephan Schell
Date: Sat, 21 Nov 1992 00:07
Date: Sat, 21 Nov 1992 00:07
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1244 bytes
In the course of solving a least-squares problem I have worked the thing down to a stumbling block: how does one solve min ||AX - XB|| subject to the constraint that X be unitary? A is a complex matrix; B is upper triangular and Toeplitz, if that helps at all. It doesn't matter to me if the matrix norm is Frobenius or 2-norm. Solutions and/or references to the literature would be most welcome. Thanks, -- ------------------------------------------------------------------ Dr. Stephan V. Schell schell@gauss.ece.psu.edu 121 Electrical Engineering East Dept. of Electrical and Computer Engineering The Pennsylvania State University University Park, PA 16802 (814) 863-8102
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arc1-ca.pugleaf.net!sparky!uunet!olivea!charnel!rat!usc!zaphod.mps.ohio-state.edu!saimiri.primate.wisc.edu!caen!uwm.edu!psuvax1!atlantis.psu.edu!apix.psu.edu!schellShow Full Headers
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Path: arc1-ca.pugleaf.net!sparky!uunet!olivea!charnel!rat!usc!zaphod.mps.ohio-state.edu!saimiri.primate.wisc.edu!caen!uwm.edu!psuvax1!atlantis.psu.edu!apix.psu.edu!schell From: schell@gauss.ece.psu.edu (Stephan Schell) Newsgroups: sci.math.num-analysis Subject: min ||AX - XB|| s.t. X is unitary ? Message-ID: <SCHELL.92Nov20160733@gauss.ece.psu.edu> Date: 21 Nov 92 00:07:33 GMT Sender: news@atlantis.psu.edu (Usenet) Distribution: sci Organization: Dept. of Elec. and Comp. Eng., Pennsylvania State University, USA Lines: 16