does a matrix equivalent of the Arg function exist?
- To: mathgroup at smc.vnet.net
- Subject: [mg53585] does a matrix equivalent of the Arg function exist?
- From: Roger Bagula <tftn at earthlink.net>
- Date: Wed, 19 Jan 2005 01:59:41 -0500 (EST)
- Sender: owner-wri-mathgroup at wolfram.com
Arg[x+I*y] exists for any complex number.
The 2by2 Matrix:
behaves very much like the complex number.
With Euler matrices being three rotations by angles such that a total
it seems that an angle equivalency function like Arg should exist
generally for nbyn matrices as a kind of measure like the determinant.
Has anyone heard of such a matrix measure?
Any ideas about how to form such a function?
It would be useful geometrically in things like space and point groups
crystalography and spectra of molecules.
Respectfully, Roger L. Bagula
tftn at earthlink.net, 11759Waterhill Road, Lakeside,Ca 92040-2905,tel:
alternative email: rlbtftn at netscape.net
URL : http://home.earthlink.net/~tftn
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