Restricting random matrices
03-19-2014, 08:08 PM
Post: #8
 DrD Senior Member Posts: 1,133 Joined: Feb 2014
RE: Restricting random matrices
(03-19-2014 05:29 PM)Helge Gabert Wrote:  One example of a Toeplitz matrix would be:

MAKEMAT(J-I, n, n) or some variation thereof. Caution: This seems to only work in Home.

For the general case, you'll have to create your vectors which you would like to propagate along the minor diagonals and write a short PPL program.

Thanks for putting me onto these interesting results:
With n>0,
MAKEMAT(J-I,n,n) produces a symmetric matrix left leaning.
MAKEMAT(J+I,n,n) produces a symmetric matrix right leaning.
MAKEMAT(J==I,n,n) produces the identity matrix.
MAKEMAT(J==I^-1,n,n) produces a symmetric matrix with 1's on the main diagonal, and +/- infinity otherwise.

Other operators on J and I produce interesting results, as well.
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 Messages In This Thread Restricting random matrices - DrD - 03-18-2014, 10:03 AM RE: Restricting random matrices - Tim Wessman - 03-18-2014, 03:25 PM RE: Restricting random matrices - DrD - 03-18-2014, 05:13 PM RE: Restricting random matrices - cyrille de brĂ©bisson - 03-19-2014, 07:00 AM RE: Restricting random matrices - parisse - 03-19-2014, 08:32 AM RE: Restricting random matrices - salvomic - 02-10-2015, 10:30 AM RE: Restricting random matrices - DrD - 03-19-2014, 09:27 AM RE: Restricting random matrices - Helge Gabert - 03-19-2014, 05:29 PM RE: Restricting random matrices - DrD - 03-19-2014 08:08 PM

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