User Tools

Site Tools


gibson:teaching:fall-2014:iam961:svddemo

====== Differences ====== This shows you the differences between two versions of the page.

Link to this comparison view

Next revision
Previous revision
gibson:teaching:fall-2014:iam961:svddemo [2014/09/25 12:28]
gibson created
gibson:teaching:fall-2014:iam961:svddemo [2014/09/25 12:30] (current)
gibson
Line 1: Line 1:
 +====== IAM 961 SVD demo ======
 +
 +A numerical demo of how uniqueness works for the SVD of real-valued matrices, conducted in Matlab.
 <​code>​ <​code>​
 % Form "​random"​ matrix A with known SVD: A = U1 S1 V1' % Form "​random"​ matrix A with known SVD: A = U1 S1 V1'
Line 6: Line 9:
 % unitary Q and upper-triangular R. The QR decomp of a matrix with  % unitary Q and upper-triangular R. The QR decomp of a matrix with 
 % normally distributed random elements with produce a unitary matrix % normally distributed random elements with produce a unitary matrix
-% with its orthogonal columns in random orientation.+% with its orthogonal columns in an isotropically ​random orientation.
  
 [U1,tmp] = qr(randn(5,​5));​ [U1,tmp] = qr(randn(5,​5));​
gibson/teaching/fall-2014/iam961/svddemo.1411673324.txt.gz ยท Last modified: 2014/09/25 12:28 by gibson