Re: How to construct symmetric matrix from just a one half
- To: mathgroup at smc.vnet.net
- Subject: [mg110404] Re: How to construct symmetric matrix from just a one half
- From: Alexei Boulbitch <alexei.boulbitch at iee.lu>
- Date: Wed, 16 Jun 2010 05:41:56 -0400 (EDT)
Try this:
This is your initial matrix (or alike) in a form of a table
M = {{1, 0, 0, 0}, {2, 3, 0, 0}, {4, 5, 6, 0}, {7, 8, 9, 10}} // Grid
That is what you need:
Table[If[i > j, M[[i, j]], M[[j, i]]], {i, 1, Length[M[[1]]]}, {j, 1,
Length[M[[1]]]}] // Grid
??
please help me with simple to apply function that will construct
symmetric matrix from given just a half matrix with diagonal.
Eg:
From:
1 0 0 0
2 3 0 0
4 9 5 0
2 2 3 4
To give:
1 2 4 2
2 3 9 2
4 9 5 3
2 2 3 4
--
Alexei Boulbitch, Dr. habil.
Senior Scientist
Material Development
IEE S.A.
ZAE Weiergewan
11, rue Edmond Reuter
L-5326 CONTERN
Luxembourg
Tel: +352 2454 2566
Fax: +352 2454 3566
Mobile: +49 (0) 151 52 40 66 44
e-mail: alexei.boulbitch at iee.lu
www.iee.lu
--
This e-mail may contain trade secrets or privileged, undisclosed or
otherwise confidential information. If you are not the intended
recipient and have received this e-mail in error, you are hereby
notified that any review, copying or distribution of it is strictly
prohibited. Please inform us immediately and destroy the original
transmittal from your system. Thank you for your co-operation.