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Test Matrices for the Singular Value Decomposition Routines
Six different types of test matrices may be generated for
the singular value decomposition routines.
Table 2 shows the types available,
along with the numbers used to refer to the matrix types.
Except as noted, all matrix types other than the random bidiagonal
matrices have entries.
The expression means a real diagonal matrix with
entries multiplied by unitary (or real orthogonal) matrices
on the left and right.
Table 2:
Test matrices for the singular value decomposition

Singular Value Distribution 
Type 
Arithmetic 
Other 
Zero 

1 
Identity 

2 
Diagonal 
3 


4, 5, 6 

 matrix entries are

 matrix entries are


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Susan Blackford
20010812